A00AAF |
Prints details of the NAG Fortran Library implementation |

A02AAF |
Square root of complex number |

A02ABF |
Modulus of complex number |

A02ACF |
Quotient of two complex numbers |

C02AFF |
All zeros of complex polynomial, modified Laguerre method |

C02AGF |
All zeros of real polynomial, modified Laguerre method |

C02AHF |
All zeros of complex quadratic |

C02AJF |
All zeros of real quadratic |

C05ADF |
Zero of continuous function in given interval, Bus and Dekker algorithm |

C05AGF |
Zero of continuous function, Bus and Dekker algorithm, from given starting value, binary search for interval |

C05AJF |
Zero of continuous function, continuation method, from a given starting value |

C05AVF |
Binary search for interval containing zero of continuous function (reverse communication) |

C05AXF |
Zero of continuous function by continuation method, from given starting value (reverse communication) |

C05AZF |
Zero in given interval of continuous function by Bus and Dekker algorithm (reverse communication) |

C05NBF |
Solution of system of nonlinear equations using function values only (easy-to-use) |

C05NCF |
Solution of system of nonlinear equations using function values only (comprehensive) |

C05NDF |
Solution of system of nonlinear equations using function values only (reverse communication) |

C05PBF |
Solution of system of nonlinear equations using first derivatives (easy-to-use) |

C05PCF |
Solution of system of nonlinear equations using first derivatives (comprehensive) |

C05PDF |
Solution of system of nonlinear equations using first derivatives (reverse communication) |

C05ZAF |
Check user's routine for calculating first derivatives |

C06BAF |
Acceleration of convergence of sequence, Shanks' transformation and epsilon algorithm |

C06DBF |
Sum of a Chebyshev series |

C06EAF |
Single one-dimensional real discrete Fourier transform, no extra workspace |

C06EBF |
Single one-dimensional Hermitian discrete Fourier transform, no extra workspace |

C06ECF |
Single one-dimensional complex discrete Fourier transform, no extra workspace |

C06EKF |
Circular convolution or correlation of two real vectors, no extra workspace |

C06FAF |
Single one-dimensional real discrete Fourier transform, extra workspace for greater speed |

C06FBF |
Single one-dimensional Hermitian discrete Fourier transform, extra workspace for greater speed |

C06FCF |
Single one-dimensional complex discrete Fourier transform, extra workspace for greater speed |

C06FFF |
One-dimensional complex discrete Fourier transform of multi-dimensional data |

C06FJF |
Multi-dimensional complex discrete Fourier transform of multi-dimensional data |

C06FKF |
Circular convolution or correlation of two real vectors, extra workspace for greater speed |

C06FPF |
Multiple one-dimensional real discrete Fourier transforms |

C06FQF |
Multiple one-dimensional Hermitian discrete Fourier transforms |

C06FRF |
Multiple one-dimensional complex discrete Fourier transforms |

C06FUF |
Two-dimensional complex discrete Fourier transform |

C06FXF |
Three-dimensional complex discrete Fourier transform |

C06GBF |
Complex conjugate of Hermitian sequence |

C06GCF |
Complex conjugate of complex sequence |

C06GQF |
Complex conjugate of multiple Hermitian sequences |

C06GSF |
Convert Hermitian sequences to general complex sequences |

C06HAF |
Discrete sine transform |

C06HBF |
Discrete cosine transform |

C06HCF |
Discrete quarter-wave sine transform |

C06HDF |
Discrete quarter-wave cosine transform |

C06LAF |
Inverse Laplace transform, Crump's method |

C06LBF |
Inverse Laplace transform, modified Weeks' method |

C06LCF |
Evaluate inverse Laplace transform as computed by C06LBF |

C06PAF |
Single one-dimensional real and Hermitian complex discrete Fourier transform, using complex data format for Hermitian sequences |

C06PCF |
Single one-dimensional complex discrete Fourier transform, complex data format |

C06PFF |
One-dimensional complex discrete Fourier transform of multi-dimensional data (using complex data type) |

C06PJF |
Multi-dimensional complex discrete Fourier transform of multi-dimensional data (using complex data type) |

C06PKF |
Circular convolution or correlation of two complex vectors |

C06PPF |
Multiple one-dimensional real and Hermitian complex discrete Fourier transforms, using complex data format for Hermitian sequences |

C06PQF |
Multiple one-dimensional real and Hermitian complex discrete Fourier transforms, using complex data format for Hermitian sequences and sequences stored as columns |

C06PRF |
Multiple one-dimensional complex discrete Fourier transforms using complex data format |

C06PSF |
Multiple one-dimensional complex discrete Fourier transforms using complex data format and sequences stored as columns |

C06PUF |
Two-dimensional complex discrete Fourier transform, complex data format |

C06PXF |
Three-dimensional complex discrete Fourier transform, complex data format |

C06RAF |
Discrete sine transform (easy-to-use) |

C06RBF |
Discrete cosine transform (easy-to-use) |

C06RCF |
Discrete quarter-wave sine transform (easy-to-use) |

C06RDF |
Discrete quarter-wave cosine transform (easy-to-use) |

D01AHF |
One-dimensional quadrature, adaptive, finite interval, strategy due to Patterson, suitable for well-behaved integrands |

D01AJF |
One-dimensional quadrature, adaptive, finite interval, strategy due to Piessens and de Doncker, allowing for badly-behaved integrands |

D01AKF |
One-dimensional quadrature, adaptive, finite interval, method suitable for oscillating functions |

D01ALF |
One-dimensional quadrature, adaptive, finite interval, allowing for singularities at user-specified break-points |

D01AMF |
One-dimensional quadrature, adaptive, infinite or semi-infinite interval |

D01ANF |
One-dimensional quadrature, adaptive, finite interval, weight function cos(omega x) or sin(omega x) |

D01APF |
One-dimensional quadrature, adaptive, finite interval, weight function with end-point singularities of algebraico-logarithmic type |

D01AQF |
One-dimensional quadrature, adaptive, finite interval, weight function 1/(x - c), Cauchy principal value (Hilbert transform) |

D01ARF |
One-dimensional quadrature, non-adaptive, finite interval with provision for indefinite integrals |

D01ASF |
One-dimensional quadrature, adaptive, semi-infinite interval, weight function cos(omega x) or sin(omega x) |

D01ATF |
One-dimensional quadrature, adaptive, finite interval, variant of D01AJF efficient on vector machines |

D01AUF |
One-dimensional quadrature, adaptive, finite interval, variant of D01AKF efficient on vector machines |

D01BAF |
One-dimensional Gaussian quadrature |

D01BBF |
Pre-computed weights and abscissae for Gaussian quadrature rules, restricted choice of rule |

D01BCF |
Calculation of weights and abscissae for Gaussian quadrature rules, general choice of rule |

D01BDF |
One-dimensional quadrature, non-adaptive, finite interval |

D01DAF |
Two-dimensional quadrature, finite region |

D01EAF |
Multi-dimensional adaptive quadrature over hyper-rectangle, multiple integrands |

D01FBF |
Multi-dimensional Gaussian quadrature over hyper-rectangle |

D01FCF |
Multi-dimensional adaptive quadrature over hyper-rectangle |

D01FDF |
Multi-dimensional quadrature, Sag--Szekeres method, general product region or n-sphere |

D01GAF |
One-dimensional quadrature, integration of function defined by data values, Gill--Miller method |

D01GBF |
Multi-dimensional quadrature over hyper-rectangle, Monte Carlo method |

D01GCF |
Multi-dimensional quadrature, general product region, number-theoretic method |

D01GDF |
Multi-dimensional quadrature, general product region, number-theoretic method, variant of D01GCF efficient on vector machines |

D01GYF |
Korobov optimal coefficients for use in D01GCF or D01GDF, when number of points is prime |

D01GZF |
Korobov optimal coefficients for use in D01GCF or D01GDF, when number of points is product of two primes |

D01JAF |
Multi-dimensional quadrature over an n-sphere, allowing for badly-behaved integrands |

D01PAF |
Multi-dimensional quadrature over an n-simplex |

D02AGF |
ODEs, boundary value problem, shooting and matching technique, allowing interior matching point, general parameters to be determined |

D02BGF |
ODEs, IVP, Runge--Kutta--Merson method, until a component attains given value (simple driver) |

D02BHF |
ODEs, IVP, Runge--Kutta--Merson method, until function of solution is zero (simple driver) |

D02BJF |
ODEs, IVP, Runge--Kutta method, until function of solution is zero, integration over range with intermediate output (simple driver) |

D02CJF |
ODEs, IVP, Adams method, until function of solution is zero, intermediate output (simple driver) |

D02EJF |
ODEs, stiff IVP, BDF method, until function of solution is zero, intermediate output (simple driver) |

D02GAF |
ODEs, boundary value problem, finite difference technique with deferred correction, simple nonlinear problem |

D02GBF |
ODEs, boundary value problem, finite difference technique with deferred correction, general linear problem |

D02HAF |
ODEs, boundary value problem, shooting and matching, boundary values to be determined |

D02HBF |
ODEs, boundary value problem, shooting and matching, general parameters to be determined |

D02JAF |
ODEs, boundary value problem, collocation and least-squares, single nth-order linear equation |

D02JBF |
ODEs, boundary value problem, collocation and least-squares, system of first-order linear equations |

D02KAF |
Second-order Sturm--Liouville problem, regular system, finite range, eigenvalue only |

D02KDF |
Second-order Sturm--Liouville problem, regular/singular system, finite/infinite range, eigenvalue only, user-specified break-points |

D02KEF |
Second-order Sturm--Liouville problem, regular/singular system, finite/infinite range, eigenvalue and eigenfunction, user-specified break-points |

D02LAF |
Second-order ODEs, IVP, Runge--Kutta--Nystrom method |

D02LXF |
Second-order ODEs, IVP, set-up for D02LAF |

D02LYF |
Second-order ODEs, IVP, diagnostics for D02LAF |

D02LZF |
Second-order ODEs, IVP, interpolation for D02LAF |

D02MVF |
ODEs, IVP, DASSL method, set-up for D02M--N routines |

D02MZF |
ODEs, IVP, interpolation for D02M--N routines, natural interpolant |

D02NBF |
Explicit ODEs, stiff IVP, full Jacobian (comprehensive) |

D02NCF |
Explicit ODEs, stiff IVP, banded Jacobian (comprehensive) |

D02NDF |
Explicit ODEs, stiff IVP, sparse Jacobian (comprehensive) |

D02NGF |
Implicit/algebraic ODEs, stiff IVP, full Jacobian (comprehensive) |

D02NHF |
Implicit/algebraic ODEs, stiff IVP, banded Jacobian (comprehensive) |

D02NJF |
Implicit/algebraic ODEs, stiff IVP, sparse Jacobian (comprehensive) |

D02NMF |
Explicit ODEs, stiff IVP (reverse communication, comprehensive) |

D02NNF |
Implicit/algebraic ODEs, stiff IVP (reverse communication, comprehensive) |

D02NRF |
ODEs, IVP, for use with D02M--N routines, sparse Jacobian, enquiry routine |

D02NSF |
ODEs, IVP, for use with D02M--N routines, full Jacobian, linear algebra set-up |

D02NTF |
ODEs, IVP, for use with D02M--N routines, banded Jacobian, linear algebra set-up |

D02NUF |
ODEs, IVP, for use with D02M--N routines, sparse Jacobian, linear algebra set-up |

D02NVF |
ODEs, IVP, BDF method, set-up for D02M--N routines |

D02NWF |
ODEs, IVP, Blend method, set-up for D02M--N routines |

D02NXF |
ODEs, IVP, sparse Jacobian, linear algebra diagnostics, for use with D02M--N routines |

D02NYF |
ODEs, IVP, integrator diagnostics, for use with D02M--N routines |

D02NZF |
ODEs, IVP, set-up for continuation calls to integrator, for use with D02M--N routines |

D02PCF |
ODEs, IVP, Runge--Kutta method, integration over range with output |

D02PDF |
ODEs, IVP, Runge--Kutta method, integration over one step |

D02PVF |
ODEs, IVP, set-up for D02PCF and D02PDF |

D02PWF |
ODEs, IVP, resets end of range for D02PDF |

D02PXF |
ODEs, IVP, interpolation for D02PDF |

D02PYF |
ODEs, IVP, integration diagnostics for D02PCF and D02PDF |

D02PZF |
ODEs, IVP, error assessment diagnostics for D02PCF and D02PDF |

D02QFF |
ODEs, IVP, Adams method with root-finding (forward communication, comprehensive) |

D02QGF |
ODEs, IVP, Adams method with root-finding (reverse communication, comprehensive) |

D02QWF |
ODEs, IVP, set-up for D02QFF and D02QGF |

D02QXF |
ODEs, IVP, diagnostics for D02QFF and D02QGF |

D02QYF |
ODEs, IVP, root-finding diagnostics for D02QFF and D02QGF |

D02QZF |
ODEs, IVP, interpolation for D02QFF or D02QGF |

D02RAF |
ODEs, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility |

D02SAF |
ODEs, boundary value problem, shooting and matching technique, subject to extra algebraic equations, general parameters to be determined |

D02TGF |
nth-order linear ODEs, boundary value problem, collocation and least-squares |

D02TKF |
ODEs, general nonlinear boundary value problem, collocation technique |

D02TVF |
ODEs, general nonlinear boundary value problem, set-up for D02TKF |

D02TXF |
ODEs, general nonlinear boundary value problem, continuation facility for D02TKF |

D02TYF |
ODEs, general nonlinear boundary value problem, interpolation for D02TKF |

D02TZF |
ODEs, general nonlinear boundary value problem, diagnostics for D02TKF |

D02XJF |
ODEs, IVP, interpolation for D02M--N routines, natural interpolant |

D02XKF |
ODEs, IVP, interpolation for D02M--N routines, C_{1} interpolant |

D02ZAF |
ODEs, IVP, weighted norm of local error estimate for D02M--N routines |

D03EAF |
Elliptic PDE, Laplace's equation, two-dimensional arbitrary domain |

D03EBF |
Elliptic PDE, solution of finite difference equations by SIP, five-point two-dimensional molecule, iterate to convergence |

D03ECF |
Elliptic PDE, solution of finite difference equations by SIP for seven-point three-dimensional molecule, iterate to convergence |

D03EDF |
Elliptic PDE, solution of finite difference equations by a multigrid technique |

D03EEF |
Discretize a second-order elliptic PDE on a rectangle |

D03FAF |
Elliptic PDE, Helmholtz equation, three-dimensional Cartesian co-ordinates |

D03MAF |
Triangulation of plane region |

D03PCF |
General system of parabolic PDEs, method of lines, finite differences, one space variable |

D03PDF |
General system of parabolic PDEs, method of lines, Chebyshev C^{0} collocation, one space variable |

D03PEF |
General system of first-order PDEs, method of lines, Keller box discretisation, one space variable |

D03PFF |
General system of convection-diffusion PDEs with source terms in conservative form, method of lines, upwind scheme using numerical flux function based on Riemann solver, one space variable |

D03PHF |
General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, one space variable |

D03PJF |
General system of parabolic PDEs, coupled DAEs, method of lines, Chebyshev C^{0} collocation, one space variable |

D03PKF |
General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretisation, one space variable |

D03PLF |
General system of convection-diffusion PDEs with source terms in conservative form, coupled DAEs, method of lines, upwind scheme using numerical flux function based on Riemann solver, one space variable |

D03PPF |
General system of parabolic PDEs, coupled DAEs, method of lines, finite differences, remeshing, one space variable |

D03PRF |
General system of first-order PDEs, coupled DAEs, method of lines, Keller box discretisation, remeshing, one space variable |

D03PSF |
General system of convection-diffusion PDEs with source terms in conservative form, coupled DAEs, method of lines, upwind scheme using numerical flux function based on Riemann solver, remeshing, one space variable |

D03PUF |
Roe's approximate Riemann solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |

D03PVF |
Osher's approximate Riemann solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |

D03PWF |
Modified HLL Riemann solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |

D03PXF |
Exact Riemann Solver for Euler equations in conservative form, for use with D03PFF, D03PLF and D03PSF |

D03PYF |
PDEs, spatial interpolation with D03PDF or D03PJF |

D03PZF |
PDEs, spatial interpolation with D03PCF, D03PEF, D03PFF, D03PHF, D03PKF, D03PLF, D03PPF, D03PRF or D03PSF |

D03RAF |
General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectangular region |

D03RBF |
General system of second-order PDEs, method of lines, finite differences, remeshing, two space variables, rectilinear region |

D03RYF |
Check initial grid data in D03RBF |

D03RZF |
Extract grid data from D03RBF |

D03UAF |
Elliptic PDE, solution of finite difference equations by SIP, five-point two-dimensional molecule, one iteration |

D03UBF |
Elliptic PDE, solution of finite difference equations by SIP, seven-point three-dimensional molecule, one iteration |

D04AAF |
Numerical differentiation, derivatives up to order 14, function of one real variable |

D05AAF |
Linear non-singular Fredholm integral equation, second kind, split kernel |

D05ABF |
Linear non-singular Fredholm integral equation, second kind, smooth kernel |

D05BAF |
Nonlinear Volterra convolution equation, second kind |

D05BDF |
Nonlinear convolution Volterra--Abel equation, second kind, weakly singular |

D05BEF |
Nonlinear convolution Volterra--Abel equation, first kind, weakly singular |

D05BWF |
Generate weights for use in solving Volterra equations |

D05BYF |
Generate weights for use in solving weakly singular Abel-type equations |

E01AAF |
Interpolated values, Aitken's technique, unequally spaced data, one variable |

E01ABF |
Interpolated values, Everett's formula, equally spaced data, one variable |

E01AEF |
Interpolating functions, polynomial interpolant, data may include derivative values, one variable |

E01BAF |
Interpolating functions, cubic spline interpolant, one variable |

E01BEF |
Interpolating functions, monotonicity-preserving, piecewise cubic Hermite, one variable |

E01BFF |
Interpolated values, interpolant computed by E01BEF, function only, one variable |

E01BGF |
Interpolated values, interpolant computed by E01BEF, function and first derivative, one variable |

E01BHF |
Interpolated values, interpolant computed by E01BEF, definite integral, one variable |

E01DAF |
Interpolating functions, fitting bicubic spline, data on rectangular grid |

E01RAF |
Interpolating functions, rational interpolant, one variable |

E01RBF |
Interpolated values, evaluate rational interpolant computed by E01RAF, one variable |

E01SAF |
Interpolating functions, method of Renka and Cline, two variables |

E01SBF |
Interpolated values, evaluate interpolant computed by E01SAF, two variables |

E01SEF |
Interpolating functions, modified Shepard's method, two variables |

E01SFF |
Interpolated values, evaluate interpolant computed by E01SEF, two variables |

E01SGF |
Interpolating functions, modified Shepard's method, two variables |

E01SHF |
Interpolated values, evaluate interpolant computed by E01SGF, function and first derivatives, two variables |

E01TGF |
Interpolating functions, modified Shepard's method, three variables |

E01THF |
Interpolated values, evaluate interpolant computed by E01TGF, function and first derivatives, three variables |

E02ACF |
Minimax curve fit by polynomials |

E02ADF |
Least-squares curve fit, by polynomials, arbitrary data points |

E02AEF |
Evaluation of fitted polynomial in one variable from Chebyshev series form (simplified parameter list) |

E02AFF |
Least-squares polynomial fit, special data points (including interpolation) |

E02AGF |
Least-squares polynomial fit, values and derivatives may be constrained, arbitrary data points |

E02AHF |
Derivative of fitted polynomial in Chebyshev series form |

E02AJF |
Integral of fitted polynomial in Chebyshev series form |

E02AKF |
Evaluation of fitted polynomial in one variable from Chebyshev series form |

E02BAF |
Least-squares curve cubic spline fit (including interpolation) |

E02BBF |
Evaluation of fitted cubic spline, function only |

E02BCF |
Evaluation of fitted cubic spline, function and derivatives |

E02BDF |
Evaluation of fitted cubic spline, definite integral |

E02BEF |
Least-squares cubic spline curve fit, automatic knot placement |

E02CAF |
Least-squares surface fit by polynomials, data on lines |

E02CBF |
Evaluation of fitted polynomial in two variables |

E02DAF |
Least-squares surface fit, bicubic splines |

E02DCF |
Least-squares surface fit by bicubic splines with automatic knot placement, data on rectangular grid |

E02DDF |
Least-squares surface fit by bicubic splines with automatic knot placement, scattered data |

E02DEF |
Evaluation of fitted bicubic spline at a vector of points |

E02DFF |
Evaluation of fitted bicubic spline at a mesh of points |

E02GAF |
L_{1}-approximation by general linear function |

E02GBF |
L_{1}-approximation by general linear function subject to linear inequality constraints |

E02GCF |
L_{infinity}-approximation by general linear function |

E02RAF |
Padé-approximants |

E02RBF |
Evaluation of fitted rational function as computed by E02RAF |

E02ZAF |
Sort two-dimensional data into panels for fitting bicubic splines |

E04ABF |
Minimum, function of one variable using function values only |

E04BBF |
Minimum, function of one variable, using first derivative |

E04CCF |
Unconstrained minimum, simplex algorithm, function of several variables using function values only (comprehensive) |

E04DGF |
Unconstrained minimum, preconditioned conjugate gradient algorithm, function of several variables using first derivatives (comprehensive) |

E04DJF |
Read optional parameter values for E04DGF from external file |

E04DKF |
Supply optional parameter values to E04DGF |

E04FCF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and modified Newton algorithm using function values only (comprehensive) |

E04FYF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and modified Newton algorithm using function values only (easy-to-use) |

E04GBF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and quasi-Newton algorithm using first derivatives (comprehensive) |

E04GDF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and modified Newton algorithm using first derivatives (comprehensive) |

E04GYF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and quasi-Newton algorithm, using first derivatives (easy-to-use) |

E04GZF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and modified Newton algorithm using first derivatives (easy-to-use) |

E04HCF |
Check user's routine for calculating first derivatives of function |

E04HDF |
Check user's routine for calculating second derivatives of function |

E04HEF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and modified Newton algorithm, using second derivatives (comprehensive) |

E04HYF |
Unconstrained minimum of a sum of squares, combined Gauss--Newton and modified Newton algorithm, using second derivatives (easy-to-use) |

E04JYF |
Minimum, function of several variables, quasi-Newton algorithm, simple bounds, using function values only (easy-to-use) |

E04KDF |
Minimum, function of several variables, modified Newton algorithm, simple bounds, using first derivatives (comprehensive) |

E04KYF |
Minimum, function of several variables, quasi-Newton algorithm, simple bounds, using first derivatives (easy-to-use) |

E04KZF |
Minimum, function of several variables, modified Newton algorithm, simple bounds, using first derivatives (easy-to-use) |

E04LBF |
Minimum, function of several variables, modified Newton algorithm, simple bounds, using first and second derivatives (comprehensive) |

E04LYF |
Minimum, function of several variables, modified Newton algorithm, simple bounds, using first and second derivatives (easy-to-use) |

E04MFF |
LP problem (dense) |

E04MGF |
Read optional parameter values for E04MFF from external file |

E04MHF |
Supply optional parameter values to E04MFF |

E04MZF |
Converts MPSX data file defining LP or QP problem to format required by E04NKF |

E04NCF |
Convex QP problem or linearly-constrained linear least-squares problem (dense) |

E04NDF |
Read optional parameter values for E04NCF from external file |

E04NEF |
Supply optional parameter values to E04NCF |

E04NFF |
QP problem (dense) |

E04NGF |
Read optional parameter values for E04NFF from external file |

E04NHF |
Supply optional parameter values to E04NFF |

E04NKF |
LP or QP problem (sparse) |

E04NLF |
Read optional parameter values for E04NKF from external file |

E04NMF |
Supply optional parameter values to E04NKF |

E04UCF |
Minimum, function of several variables, sequential QP method, nonlinear constraints, using function values and optionally first derivatives (forward communication, comprehensive) |

E04UDF |
Read optional parameter values for E04UCF or E04UFF from external file |

E04UEF |
Supply optional parameter values to E04UCF or E04UFF |

E04UFF |
Minimum, function of several variables, sequential QP method, nonlinear constraints, using function values and optionally first derivatives (reverse communication, comprehensive) |

E04UGF |
NLP problem (sparse) |

E04UHF |
Read optional parameter values for E04UGF from external file |

E04UJF |
Supply optional parameter values to E04UGF |

E04UNF |
Minimum of a sum of squares, nonlinear constraints, sequential QP method, using function values and optionally first derivatives (comprehensive) |

E04UQF |
Read optional parameter values for E04UNF from external file |

E04URF |
Supply optional parameter values to E04UNF |

E04XAF |
Estimate (using numerical differentiation) gradient and/or Hessian of a function |

E04YAF |
Check user's routine for calculating Jacobian of first derivatives |

E04YBF |
Check user's routine for calculating Hessian of a sum of squares |

E04YCF |
Covariance matrix for nonlinear least-squares problem (unconstrained) |

E04ZCF |
Check user's routines for calculating first derivatives of function and constraints |

F01ABF |
Inverse of real symmetric positive-definite matrix using iterative refinement |

F01ADF |
Inverse of real symmetric positive-definite matrix |

F01BLF |
Pseudo-inverse and rank of real m by n matrix (m >= n) |

F01BRF |
LU factorization of real sparse matrix |

F01BSF |
LU factorization of real sparse matrix with known sparsity pattern |

F01BUF |
ULDL factorization of real symmetric positive-definite band matrix^{T}U^{T} |

F01BVF |
Reduction to standard form, generalized real symmetric-definite banded eigenproblem |

F01CKF |
Matrix multiplication |

F01CRF |
Matrix transposition |

F01CTF |
Sum or difference of two real matrices, optional scaling and transposition |

F01CWF |
Sum or difference of two complex matrices, optional scaling and transposition |

F01LEF |
LU factorization of real tridiagonal matrix |

F01LHF |
LU factorization of real almost block diagonal matrix |

F01MCF |
LDL factorization of real symmetric positive-definite variable-bandwidth matrix^{T} |

F01QGF |
RQ factorization of real m by n upper trapezoidal matrix (m <= n) |

F01QJF |
RQ factorization of real m by n matrix (m <= n) |

F01QKF |
Operations with orthogonal matrices, form rows of Q, after RQ factorization by F01QJF |

F01RGF |
RQ factorization of complex m by n upper trapezoidal matrix (m <= n) |

F01RJF |
RQ factorization of complex m by n matrix (m <= n) |

F01RKF |
Operations with unitary matrices, form rows of Q, after RQ factorization by F01RJF |

F01ZAF |
Convert real matrix between packed triangular and square storage schemes |

F01ZBF |
Convert complex matrix between packed triangular and square storage schemes |

F01ZCF |
Convert real matrix between packed banded and rectangular storage schemes |

F01ZDF |
Convert complex matrix between packed banded and rectangular storage schemes |

F02BJF |
All eigenvalues and optionally eigenvectors of generalized eigenproblem by QZ algorithm, real matrices (Black Box) |

F02EAF |
All eigenvalues and Schur factorization of real general matrix (Black Box) |

F02EBF |
All eigenvalues and eigenvectors of real general matrix (Black Box) |

F02ECF |
Selected eigenvalues and eigenvectors of real nonsymmetric matrix (Black Box) |

F02FAF |
All eigenvalues and eigenvectors of real symmetric matrix (Black Box) |

F02FCF |
Selected eigenvalues and eigenvectors of real symmetric matrix (Black Box) |

F02FDF |
All eigenvalues and eigenvectors of real symmetric-definite generalized problem (Black Box) |

F02FHF |
All eigenvalues of generalized banded real symmetric-definite eigenproblem (Black Box) |

F02FJF |
Selected eigenvalues and eigenvectors of sparse symmetric eigenproblem (Black Box) |

F02GAF |
All eigenvalues and Schur factorization of complex general matrix (Black Box) |

F02GBF |
All eigenvalues and eigenvectors of complex general matrix (Black Box) |

F02GCF |
Selected eigenvalues and eigenvectors of complex nonsymmetric matrix (Black Box) |

F02GJF |
All eigenvalues and optionally eigenvectors of generalized complex eigenproblem by QZ algorithm (Black Box) |

F02HAF |
All eigenvalues and eigenvectors of complex Hermitian matrix (Black Box) |

F02HCF |
Selected eigenvalues and eigenvectors of complex Hermitian matrix (Black Box) |

F02HDF |
All eigenvalues and eigenvectors of complex Hermitian-definite generalized problem (Black Box) |

F02SDF |
Eigenvector of generalized real banded eigenproblem by inverse iteration |

F02WDF |
QR factorization, possibly followed by SVD |

F02WEF |
SVD of real matrix (Black Box) |

F02WUF |
SVD of real upper triangular matrix (Black Box) |

F02XEF |
SVD of complex matrix (Black Box) |

F02XUF |
SVD of complex upper triangular matrix (Black Box) |

F03AAF |
Determinant of real matrix (Black Box) |

F03ABF |
Determinant of real symmetric positive-definite matrix (Black Box) |

F03ACF |
Determinant of real symmetric positive-definite band matrix (Black Box) |

F03ADF |
Determinant of complex matrix (Black Box) |

F03AEF |
LL factorization and determinant of real symmetric positive-definite matrix^{T} |

F03AFF |
LU factorization and determinant of real matrix |

F04AAF |
Solution of real simultaneous linear equations with multiple right-hand sides (Black Box) |

F04ABF |
Solution of real symmetric positive-definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) |

F04ACF |
Solution of real symmetric positive-definite banded simultaneous linear equations with multiple right-hand sides (Black Box) |

F04ADF |
Solution of complex simultaneous linear equations with multiple right-hand sides (Black Box) |

F04AEF |
Solution of real simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box) |

F04AFF |
Solution of real symmetric positive-definite simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AEF) |

F04AGF |
Solution of real symmetric positive-definite simultaneous linear equations (coefficient matrix already factorized by F03AEF) |

F04AHF |
Solution of real simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AFF) |

F04AJF |
Solution of real simultaneous linear equations (coefficient matrix already factorized by F03AFF) |

F04AMF |
Least-squares solution of m real equations in n unknowns, rank = n, m >= n using iterative refinement (Black Box) |

F04ARF |
Solution of real simultaneous linear equations, one right-hand side (Black Box) |

F04ASF |
Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black Box) |

F04ATF |
Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black Box) |

F04AXF |
Solution of real sparse simultaneous linear equations (coefficient matrix already factorized) |

F04EAF |
Solution of real tridiagonal simultaneous linear equations, one right-hand side (Black Box) |

F04FAF |
Solution of real symmetric positive-definite tridiagonal simultaneous linear equations, one right-hand side (Black Box) |

F04FEF |
Solution of the Yule--Walker equations for real symmetric positive-definite Toeplitz matrix, one right-hand side |

F04FFF |
Solution of real symmetric positive-definite Toeplitz system, one right-hand side |

F04JAF |
Minimal least-squares solution of m real equations in n unknowns, rank <= n, m >= n |

F04JDF |
Minimal least-squares solution of m real equations in n unknowns, rank <= n, m >= n |

F04JGF |
Least-squares (if rank = n) or minimal least-squares (if rank < n) solution of m real equations in n unknowns, rank <= n, m >= n |

F04JLF |
Real general Gauss--Markov linear model (including weighted least-squares) |

F04JMF |
Equality-constrained real linear least-squares problem |

F04KLF |
Complex general Gauss--Markov linear model (including weighted least-squares) |

F04KMF |
Equality-constrained complex linear least-squares problem |

F04LEF |
Solution of real tridiagonal simultaneous linear equations (coefficient matrix already factorized by F01LEF) |

F04LHF |
Solution of real almost block diagonal simultaneous linear equations (coefficient matrix already factorized by F01LHF) |

F04MCF |
Solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF) |

F04MEF |
Update solution of the Yule--Walker equations for real symmetric positive-definite Toeplitz matrix |

F04MFF |
Update solution of real symmetric positive-definite Toeplitz system |

F04QAF |
Sparse linear least-squares problem, m real equations in n unknowns |

F04YAF |
Covariance matrix for linear least-squares problems, m real equations in n unknowns |

F04YCF |
Norm estimation (for use in condition estimation), real matrix |

F04ZCF |
Norm estimation (for use in condition estimation), complex matrix |

F05AAF |
Gram--Schmidt orthogonalisation of n vectors of order m |

F06AAF |
(SROTG/DROTG) Generate real plane rotation |

F06BAF |
Generate real plane rotation, storing tangent |

F06BCF |
Recover cosine and sine from given real tangent |

F06BEF |
Generate real Jacobi plane rotation |

F06BHF |
Apply real similarity rotation to 2 by 2 symmetric matrix |

F06BLF |
Compute quotient of two real scalars, with overflow flag |

F06BMF |
Compute Euclidean norm from scaled form |

F06BNF |
Compute square root of (a^{2} + b^{2}), real a and b |

F06BPF |
Compute eigenvalue of 2 by 2 real symmetric matrix |

F06CAF |
Generate complex plane rotation, storing tangent, real cosine |

F06CBF |
Generate complex plane rotation, storing tangent, real sine |

F06CCF |
Recover cosine and sine from given complex tangent, real cosine |

F06CDF |
Recover cosine and sine from given complex tangent, real sine |

F06CHF |
Apply complex similarity rotation to 2 by 2 Hermitian matrix |

F06CLF |
Compute quotient of two complex scalars, with overflow flag |

F06DBF |
Broadcast scalar into integer vector |

F06DFF |
Copy integer vector |

F06EAF |
(SDOT/DDOT) Dot product of two real vectors |

F06ECF |
(SAXPY/DAXPY) Add scalar times real vector to real vector |

F06EDF |
(SSCAL/DSCAL) Multiply real vector by scalar |

F06EFF |
(SCOPY/DCOPY) Copy real vector |

F06EGF |
(SSWAP/DSWAP) Swap two real vectors |

F06EJF |
(SNRM2/DNRM2) Compute Euclidean norm of real vector |

F06EKF |
(SASUM/DASUM) Sum absolute values of real vector elements |

F06EPF |
(SROT/DROT) Apply real plane rotation |

F06ERF |
(SDOTI/DDOTI) Dot product of two real sparse vectors |

F06ETF |
(SAXPYI/DAXPYI) Add scalar times real sparse vector to real sparse vector |

F06EUF |
(SGTHR/DGTHR) Gather real sparse vector |

F06EVF |
(SGTHRZ/DGTHRZ) Gather and set to zero real sparse vector |

F06EWF |
(SSCTR/DSCTR) Scatter real sparse vector |

F06EXF |
(SROTI/DROTI) Apply plane rotation to two real sparse vectors |

F06FAF |
Compute cosine of angle between two real vectors |

F06FBF |
Broadcast scalar into real vector |

F06FCF |
Multiply real vector by diagonal matrix |

F06FDF |
Multiply real vector by scalar, preserving input vector |

F06FGF |
Negate real vector |

F06FJF |
Update Euclidean norm of real vector in scaled form |

F06FKF |
Compute weighted Euclidean norm of real vector |

F06FLF |
Elements of real vector with largest and smallest absolute value |

F06FPF |
Apply real symmetric plane rotation to two vectors |

F06FQF |
Generate sequence of real plane rotations |

F06FRF |
Generate real elementary reflection, NAG style |

F06FSF |
Generate real elementary reflection, LINPACK style |

F06FTF |
Apply real elementary reflection, NAG style |

F06FUF |
Apply real elementary reflection, LINPACK style |

F06GAF |
(CDOTU/ZDOTU) Dot product of two complex vectors, unconjugated |

F06GBF |
(CDOTC/ZDOTC) Dot product of two complex vectors, conjugated |

F06GCF |
(CAXPY/ZAXPY) Add scalar times complex vector to complex vector |

F06GDF |
(CSCAL/ZSCAL) Multiply complex vector by complex scalar |

F06GFF |
(CCOPY/ZCOPY) Copy complex vector |

F06GGF |
(CSWAP/ZSWAP) Swap two complex vectors |

F06GRF |
(CDOTUI/ZDOTUI) Dot product of two complex sparse vector, unconjugated |

F06GSF |
(CDOTCI/ZDOTCI) Dot product of two complex sparse vector, conjugated |

F06GTF |
(CAXPYI/ZAXPYI) Add scalar times complex sparse vector to complex sparse vector |

F06GUF |
(CGTHR/ZGTHR) Gather complex sparse vector |

F06GVF |
(CGTHRZ/ZGTHRZ) Gather and set to zero complex sparse vector |

F06GWF |
(CSCTR/ZSCTR) Scatter complex sparse vector |

F06HBF |
Broadcast scalar into complex vector |

F06HCF |
Multiply complex vector by complex diagonal matrix |

F06HDF |
Multiply complex vector by complex scalar, preserving input vector |

F06HGF |
Negate complex vector |

F06HPF |
Apply complex plane rotation |

F06HQF |
Generate sequence of complex plane rotations |

F06HRF |
Generate complex elementary reflection |

F06HTF |
Apply complex elementary reflection |

F06JDF |
(CSSCAL/ZDSCAL) Multiply complex vector by real scalar |

F06JJF |
(SCNRM2/DZNRM2) Compute Euclidean norm of complex vector |

F06JKF |
(SCASUM/DZASUM) Sum absolute values of complex vector elements |

F06JLF |
(ISAMAX/IDAMAX) Index, real vector element with largest absolute value |

F06JMF |
(ICAMAX/IZAMAX) Index, complex vector element with largest absolute value |

F06KCF |
Multiply complex vector by real diagonal matrix |

F06KDF |
Multiply complex vector by real scalar, preserving input vector |

F06KFF |
Copy real vector to complex vector |

F06KJF |
Update Euclidean norm of complex vector in scaled form |

F06KLF |
Last non-negligible element of real vector |

F06KPF |
Apply real plane rotation to two complex vectors |

F06PAF |
(SGEMV/DGEMV) Matrix-vector product, real rectangular matrix |

F06PBF |
(SGBMV/DGBMV) Matrix-vector product, real rectangular band matrix |

F06PCF |
(SSYMV/DSYMV) Matrix-vector product, real symmetric matrix |

F06PDF |
(SSBMV/DSBMV) Matrix-vector product, real symmetric band matrix |

F06PEF |
(SSPMV/DSPMV) Matrix-vector product, real symmetric packed matrix |

F06PFF |
(STRMV/DTRMV) Matrix-vector product, real triangular matrix |

F06PGF |
(STBMV/DTBMV) Matrix-vector product, real triangular band matrix |

F06PHF |
(STPMV/DTPMV) Matrix-vector product, real triangular packed matrix |

F06PJF |
(STRSV/DTRSV) System of equations, real triangular matrix |

F06PKF |
(STBSV/DTBSV) System of equations, real triangular band matrix |

F06PLF |
(STPSV/DTPSV) System of equations, real triangular packed matrix |

F06PMF |
(SGER/DGER) Rank-1 update, real rectangular matrix |

F06PPF |
(SSYR/DSYR) Rank-1 update, real symmetric matrix |

F06PQF |
(SSPR/DSPR) Rank-1 update, real symmetric packed matrix |

F06PRF |
(SSYR2/DSYR2) Rank-2 update, real symmetric matrix |

F06PSF |
(SSPR2/DSPR2) Rank-2 update, real symmetric packed matrix |

F06QFF |
Matrix copy, real rectangular or trapezoidal matrix |

F06QHF |
Matrix initialisation, real rectangular matrix |

F06QJF |
Permute rows or columns, real rectangular matrix, permutations represented by an integer array |

F06QKF |
Permute rows or columns, real rectangular matrix, permutations represented by a real array |

F06QMF |
Orthogonal similarity transformation of real symmetric matrix as a sequence of plane rotations |

F06QPF |
QR factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix |

F06QQF |
QR factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row |

F06QRF |
QR or RQ factorization by sequence of plane rotations, real upper Hessenberg matrix |

F06QSF |
QR or RQ factorization by sequence of plane rotations, real upper spiked matrix |

F06QTF |
QR factorization of UZ or RQ factorization of ZU, U real upper triangular, Z a sequence of plane rotations |

F06QVF |
Compute upper Hessenberg matrix by sequence of plane rotations, real upper triangular matrix |

F06QWF |
Compute upper spiked matrix by sequence of plane rotations, real upper triangular matrix |

F06QXF |
Apply sequence of plane rotations, real rectangular matrix |

F06RAF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real general matrix |

F06RBF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real band matrix |

F06RCF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real symmetric matrix |

F06RDF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage |

F06REF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real symmetric band matrix |

F06RJF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real trapezoidal/triangular matrix |

F06RKF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real triangular matrix, packed storage |

F06RLF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real triangular band matrix |

F06RMF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, real Hessenberg matrix |

F06SAF |
(CGEMV/ZGEMV) Matrix-vector product, complex rectangular matrix |

F06SBF |
(CGBMV/ZGBMV) Matrix-vector product, complex rectangular band matrix |

F06SCF |
(CHEMV/ZHEMV) Matrix-vector product, complex Hermitian matrix |

F06SDF |
(CHBMV/ZHBMV) Matrix-vector product, complex Hermitian band matrix |

F06SEF |
(CHPMV/ZHPMV) Matrix-vector product, complex Hermitian packed matrix |

F06SFF |
(CTRMV/ZTRMV) Matrix-vector product, complex triangular matrix |

F06SGF |
(CTBMV/ZTBMV) Matrix-vector product, complex triangular band matrix |

F06SHF |
(CTPMV/ZTPMV) Matrix-vector product, complex triangular packed matrix |

F06SJF |
(CTRSV/ZTRSV) System of equations, complex triangular matrix |

F06SKF |
(CTBSV/ZTBSV) System of equations, complex triangular band matrix |

F06SLF |
(CTPSV/ZTPSV) System of equations, complex triangular packed matrix |

F06SMF |
(CGERU/ZGERU) Rank-1 update, complex rectangular matrix, unconjugated vector |

F06SNF |
(CGERC/ZGERC) Rank-1 update, complex rectangular matrix, conjugated vector |

F06SPF |
(CHER/ZHER) Rank-1 update, complex Hermitian matrix |

F06SQF |
(CHPR/ZHPR) Rank-1 update, complex Hermitian packed matrix |

F06SRF |
(CHER2/ZHER2) Rank-2 update, complex Hermitian matrix |

F06SSF |
(CHPR2/ZHPR2) Rank-2 update, complex Hermitian packed matrix |

F06TFF |
Matrix copy, complex rectangular or trapezoidal matrix |

F06THF |
Matrix initialisation, complex rectangular matrix |

F06TMF |
Unitary similarity transformation of Hermitian matrix as a sequence of plane rotations |

F06TPF |
QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |

F06TQF |
QRxk factorization by sequence of plane rotations, complex upper triangular matrix augmented by a full row |

F06TRF |
QR or RQ factorization by sequence of plane rotations, complex upper Hessenberg matrix |

F06TSF |
QR or RQ factorization by sequence of plane rotations, complex upper spiked matrix |

F06TTF |
QR factorization of UZ or RQ factorization of ZU, U complex upper triangular, Z a sequence of plane rotations |

F06TVF |
Compute upper Hessenberg matrix by sequence of plane rotations, complex upper triangular matrix |

F06TWF |
Compute upper spiked matrix by sequence of plane rotations, complex upper triangular matrix |

F06TXF |
Apply sequence of plane rotations, complex rectangular matrix, real cosine and complex sine |

F06TYF |
Apply sequence of plane rotations, complex rectangular matrix, complex cosine and real sine |

F06UAF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex general matrix |

F06UBF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex band matrix |

F06UCF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hermitian matrix |

F06UDF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hermitian matrix, packed storage |

F06UEF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hermitian band matrix |

F06UFF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex symmetric matrix |

F06UGF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage |

F06UHF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex symmetric band matrix |

F06UJF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex trapezoidal/triangular matrix |

F06UKF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex triangular matrix, packed storage |

F06ULF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex triangular band matrix |

F06UMF |
1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hessenberg matrix |

F06VJF |
Permute rows or columns, complex rectangular matrix, permutations represented by an integer array |

F06VKF |
Permute rows or columns, complex rectangular matrix, permutations represented by a real array |

F06VXF |
Apply sequence of plane rotations, complex rectangular matrix, real cosine and sine |

F06YAF |
(SGEMM/DGEMM) Matrix-matrix product, two real rectangular matrices |

F06YCF |
(SSYMM/DSYMM) Matrix-matrix product, one real symmetric matrix, one real rectangular matrix |

F06YFF |
(STRMM/DTRMM) Matrix-matrix product, one real triangular matrix, one real rectangular matrix |

F06YJF |
(STRSM/DTRSM) Solves system of equations with multiple right-hand sides, real triangular coefficient matrix |

F06YPF |
(SSYRK/DSYRK) Rank-k update of real symmetric matrix |

F06YRF |
(SSYR2K/DSYR2K) Rank-2k update of real symmetric matrix |

F06ZAF |
(CGEMM/ZGEMM) Matrix-matrix product, two complex rectangular matrices |

F06ZCF |
(CHEMM/ZHEMM) Matrix-matrix product, one complex Hermitian matrix, one complex rectangular matrix |

F06ZFF |
(CTRMM/ZTRMM) Matrix-matrix product, one complex triangular matrix, one complex rectangular matrix |

F06ZJF |
(CTRSM/ZTRSM) Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix |

F06ZPF |
(CHERK/ZHERK) Rank-k update of complex Hermitian matrix |

F06ZRF |
(CHER2K/ZHER2K) Rank-2k update of complex Hermitian matrix |

F06ZTF |
(CSYMM/ZSYMM) Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix |

F06ZUF |
(CSYRK/ZSYRK) Rank-k update of complex symmetric matrix |

F06ZWF |
(CSYR2K/ZHER2K) Rank-2k update of complex symmetric matrix |

F07ADF |
(SGETRF/DGETRF) LU factorization of real m by n matrix |

F07AEF |
(SGETRS/DGETRS) Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by F07ADF |

F07AGF |
(SGECON/DGECON) Estimate condition number of real matrix, matrix already factorized by F07ADF |

F07AHF |
(SGERFS/DGERFS) Refined solution with error bounds of real system of linear equations, multiple right-hand sides |

F07AJF |
(SGETRI/DGETRI) Inverse of real matrix, matrix already factorized by F07ADF |

F07ARF |
(CGETRF/ZGETRF) LU factorization of complex m by n matrix |

F07ASF |
(CGETRS/ZGETRS) Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by F07ARF |

F07AUF |
(CGECON/ZGECON) Estimate condition number of complex matrix, matrix already factorized by F07ARF |

F07AVF |
(CGERFS/ZGERFS) Refined solution with error bounds of complex system of linear equations, multiple right-hand sides |

F07AWF |
(CGETRI/ZGETRI) Inverse of complex matrix, matrix already factorized by F07ARF |

F07BDF |
(SGBTRF/DGBTRF) LU factorization of real m by n band matrix |

F07BEF |
(SGBTRS/DGBTRS) Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by F07BDF |

F07BGF |
(SGBCON/DGBCON) Estimate condition number of real band matrix, matrix already factorized by F07BDF |

F07BHF |
(SGBRFS/DGBRFS) Refined solution with error bounds of real band system of linear equations, multiple right-hand sides |

F07BRF |
(CGBTRF/ZGBTRF) LU factorization of complex m by n band matrix |

F07BSF |
(CGBTRS/ZGBTRS) Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by F07BRF |

F07BUF |
(CGBCON/ZGBCON) Estimate condition number of complex band matrix, matrix already factorized by F07BRF |

F07BVF |
(CGBRFS/ZGBRFS) Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides |

F07FDF |
(SPOTRF/DPOTRF) Cholesky factorization of real symmetric positive-definite matrix |

F07FEF |
(SPOTRS/DPOTRS) Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FDF |

F07FGF |
(SPOCON/DPOCON) Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07FDF |

F07FHF |
(SPORFS/DPORFS) Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides |

F07FJF |
(SPOTRI/DPOTRI) Inverse of real symmetric positive-definite matrix, matrix already factorized by F07FDF |

F07FRF |
(CPOTRF/ZPOTRF) Cholesky factorization of complex Hermitian positive-definite matrix |

F07FSF |
(CPOTRS/ZPOTRS) Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FRF |

F07FUF |
(CPOCON/ZPOCON) Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by F07FRF |

F07FVF |
(CPORFS/ZPORFS) Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides |

F07FWF |
(CPOTRI/ZPOTRI) Inverse of complex Hermitian positive-definite matrix, matrix already factorized by F07FRF |

F07GDF |
(SPPTRF/DPPTRF) Cholesky factorization of real symmetric positive-definite matrix, packed storage |

F07GEF |
(SPPTRS/DPPTRS) Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GDF, packed storage |

F07GGF |
(SPPCON/DPPCON) Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07GDF, packed storage |

F07GHF |
(SPPRFS/DPPRFS) Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage |

F07GJF |
(SPPTRI/DPPTRI) Inverse of real symmetric positive-definite matrix, matrix already factorized by F07GDF, packed storage |

F07GRF |
(CPPTRF/ZPPTRF) Cholesky factorization of complex Hermitian positive-definite matrix, packed storage |

F07GSF |
(CPPTRS/ZPPTRS) Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GRF, packed storage |

F07GUF |
(CPPCON/ZPPCON) Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by F07GRF, packed storage |

F07GVF |
(CPPRFS/ZPPRFS) Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, packed storage |

F07GWF |
(CPPTRI/ZPPTRI) Inverse of complex Hermitian positive-definite matrix, matrix already factorized by F07GRF, packed storage |

F07HDF |
(SPBTRF/DPBTRF) Cholesky factorization of real symmetric positive-definite band matrix |

F07HEF |
(SPBTRS/DPBTRS) Solution of real symmetric positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HDF |

F07HGF |
(SPBCON/DPBCON) Estimate condition number of real symmetric positive-definite band matrix, matrix already factorized by F07HDF |

F07HHF |
(SPBRFS/DPBRFS) Refined solution with error bounds of real symmetric positive-definite band system of linear equations, multiple right-hand sides |

F07HRF |
(CPBTRF/ZPBTRF) Cholesky factorization of complex Hermitian positive-definite band matrix |

F07HSF |
(CPBTRS/ZPBTRS) Solution of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HRF |

F07HUF |
(CPBCON/ZPBCON) Estimate condition number of complex Hermitian positive-definite band matrix, matrix already factorized by F07HRF |

F07HVF |
(CPBRFS/ZPBRFS) Refined solution with error bounds of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides |

F07MDF |
(SSYTRF/DSYTRF) Bunch--Kaufman factorization of real symmetric indefinite matrix |

F07MEF |
(SSYTRS/DSYTRS) Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MDF |

F07MGF |
(SSYCON/DSYCON) Estimate condition number of real symmetric indefinite matrix, matrix already factorized by F07MDF |

F07MHF |
(SSYRFS/DSYRFS) Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides |

F07MJF |
(SSYTRI/DSYTRI) Inverse of real symmetric indefinite matrix, matrix already factorized by F07MDF |

F07MRF |
(CHETRF/ZHETRF) Bunch--Kaufman factorization of complex Hermitian indefinite matrix |

F07MSF |
(CHETRS/ZHETRS) Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MRF |

F07MUF |
(CHECON/ZHECON) Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07MRF |

F07MVF |
(CHERFS/ZHERFS) Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides |

F07MWF |
(CHETRI/ZHETRI) Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07MRF |

F07NRF |
(CSYTRF/ZSYTRF) Bunch--Kaufman factorization of complex symmetric matrix |

F07NSF |
(CSYTRS/ZSYTRS) Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07NRF |

F07NUF |
(CSYCON/ZSYCON) Estimate condition number of complex symmetric matrix, matrix already factorized by F07NRF |

F07NVF |
(CSYRFS/ZSYRFS) Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides |

F07NWF |
(CSYTRI/ZSYTRI) Inverse of complex symmetric matrix, matrix already factorized by F07NRF |

F07PDF |
(SSPTRF/DSPTRF) Bunch--Kaufman factorization of real symmetric indefinite matrix, packed storage |

F07PEF |
(SSPTRS/DSPTRS) Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PDF, packed storage |

F07PGF |
(SSPCON/DSPCON) Estimate condition number of real symmetric indefinite matrix, matrix already factorized by F07PDF, packed storage |

F07PHF |
(SSPRFS/DSPRFS) Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage |

F07PJF |
(SSPTRI/DSPTRI) Inverse of real symmetric indefinite matrix, matrix already factorized by F07PDF, packed storage |

F07PRF |
(CHPTRF/ZHPTRF) Bunch--Kaufman factorization of complex Hermitian indefinite matrix, packed storage |

F07PSF |
(CHPTRS/ZHPTRS) Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PRF, packed storage |

F07PUF |
(CHPCON/ZHPCON) Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07PRF, packed storage |

F07PVF |
(CHPRFS/ZHPRFS) Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage |

F07PWF |
(CHPTRI/ZHPTRI) Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07PRF, packed storage |

F07QRF |
(CSPTRF/ZSPTRF) Bunch--Kaufman factorization of complex symmetric matrix, packed storage |

F07QSF |
(CSPTRS/ZSPTRS) Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07QRF, packed storage |

F07QUF |
(CSPCON/ZSPCON) Estimate condition number of complex symmetric matrix, matrix already factorized by F07QRF, packed storage |

F07QVF |
(CSPRFS/ZSPRFS) Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage |

F07QWF |
(CSPTRI/ZSPTRI) Inverse of complex symmetric matrix, matrix already factorized by F07QRF, packed storage |

F07TEF |
(STRTRS/DTRTRS) Solution of real triangular system of linear equations, multiple right-hand sides |

F07TGF |
(STRCON/DTRCON) Estimate condition number of real triangular matrix |

F07THF |
(STRRFS/DTRRFS) Error bounds for solution of real triangular system of linear equations, multiple right-hand sides |

F07TJF |
(STRTRI/DTRTRI) Inverse of real triangular matrix |

F07TSF |
(CTRTRS/ZTRTRS) Solution of complex triangular system of linear equations, multiple right-hand sides |

F07TUF |
(CTRCON/ZTRCON) Estimate condition number of complex triangular matrix |

F07TVF |
(CTRRFS/ZTRRFS) Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides |

F07TWF |
(CTRTRI/ZTRTRI) Inverse of complex triangular matrix |

F07UEF |
(STPTRS/DTPTRS) Solution of real triangular system of linear equations, multiple right-hand sides, packed storage |

F07UGF |
(STPCON/DTPCON) Estimate condition number of real triangular matrix, packed storage |

F07UHF |
(STPRFS/DTPRFS) Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage |

F07UJF |
(STPTRI/DTPTRI) Inverse of real triangular matrix, packed storage |

F07USF |
(CTPTRS/ZTPTRS) Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage |

F07UUF |
(CTPCON/ZTPCON) Estimate condition number of complex triangular matrix, packed storage |

F07UVF |
(CTPRFS/ZTPRFS) Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage |

F07UWF |
(CTPTRI/ZTPTRI) Inverse of complex triangular matrix, packed storage |

F07VEF |
(STBTRS/DTBTRS) Solution of real band triangular system of linear equations, multiple right-hand sides |

F07VGF |
(STBCON/DTBCON) Estimate condition number of real band triangular matrix |

F07VHF |
(STBRFS/DTBRFS) Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides |

F07VSF |
(CTBTRS/ZTBTRS) Solution of complex band triangular system of linear equations, multiple right-hand sides |

F07VUF |
(CTBCON/ZTBCON) Estimate condition number of complex band triangular matrix |

F07VVF |
(CTBRFS/ZTBRFS) Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides |

F08AEF |
(SGEQRF/DGEQRF) QR factorization of real general rectangular matrix |

F08AFF |
(SORGQR/DORGQR) Form all or part of orthogonal Q from QR factorization determined by F08AEF or F08BEF |

F08AGF |
(SORMQR/DORMQR) Apply orthogonal transformation determined by F08AEF or F08BEF |

F08AHF |
(SGELQF/DGELQF) LQ factorization of real general rectangular matrix |

F08AJF |
(SORGLQ/DORGLQ) Form all or part of orthogonal Q from LQ factorization determined by F08AHF |

F08AKF |
(SORMLQ/DORMLQ) Apply orthogonal transformation determined by F08AHF |

F08ASF |
(CGEQRF/ZGEQRF) QR factorization of complex general rectangular matrix |

F08ATF |
(CUNGQR/ZUNGQR) Form all or part of unitary Q from QR factorization determined by F08ASF or F08BSF |

F08AUF |
(CUNMQR/ZUNMQR) Apply unitary transformation determined by F08ASF or F08BSF |

F08AVF |
(CGELQF/ZGELQF) LQ factorization of complex general rectangular matrix |

F08AWF |
(CUNGLQ/ZUNGLQ) Form all or part of unitary Q from LQ factorization determined by F08AVF |

F08AXF |
(CUNMLQ/ZUNMLQ) Apply unitary transformation determined by F08AVF |

F08BEF |
(SGEQPF/DGEQPF) QR factorization of real general rectangular matrix with column pivoting |

F08BSF |
(CGEQPF/ZGEQPF) QR factorization of complex general rectangular matrix with column pivoting |

F08FCF |
(SSYEVD/DSYEVD) All eigenvalues and optionally all eigenvectors of real symmetric matrix, using divide and conquer |

F08FEF |
(SSYTRD/DSYTRD) Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |

F08FFF |
(SORGTR/DORGTR) Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08FEF |

F08FGF |
(SORMTR/DORMTR) Apply orthogonal transformation determined by F08FEF |

F08FQF |
(CHEEVD/ZHEEVD) All eigenvalues and optionally all eigenvectors of complex Hermitian matrix, using divide and conquer |

F08FSF |
(CHETRD/ZHETRD) Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form |

F08FTF |
(CUNGTR/ZUNGTR) Generate unitary transformation matrix from reduction to tridiagonal form determined by F08FSF |

F08FUF |
(CUNMTR/ZUNMTR) Apply unitary transformation matrix determined by F08FSF |

F08GCF |
(SSPEVD/DSPEVD) All eigenvalues and optionally all eigenvectors of real symmetric matrix, packed storage, using divide and conquer |

F08GEF |
(SSPTRD/DSPTRD) Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |

F08GFF |
(SOPGTR/DOPGTR) Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08GEF |

F08GGF |
(SOPMTR/DOPMTR) Apply orthogonal transformation determined by F08GEF |

F08GQF |
(CHPEVD/ZHPEVD) All eigenvalues and optionally all eigenvectors of complex Hermitian matrix, packed storage, using divide and conquer |

F08GSF |
(CHPTRD/ZHPTRD) Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage |

F08GTF |
(CUPGTR/ZUPGTR) Generate unitary transformation matrix from reduction to tridiagonal form determined by F08GSF |

F08GUF |
(CUPMTR/ZUPMTR) Apply unitary transformation matrix determined by F08GSF |

F08HCF |
(SSBEVD/DSBEVD) All eigenvalues and optionally all eigenvectors of real symmetric band matrix, using divide and conquer |

F08HEF |
(SSBTRD/DSBTRD) Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |

F08HQF |
(CHBEVD/ZHBEVD) All eigenvalues and optionally all eigenvectors of complex Hermitian band matrix, using divide and conquer |

F08HSF |
(CHBTRD/ZHBTRD) Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |

F08JCF |
(SSTEVD/DSTEVD) All eigenvalues and optionally all eigenvectors of real symmetric tridiagonal matrix, using divide and conquer |

F08JEF |
(SSTEQR/DSTEQR) All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using implicit QL or QR |

F08JFF |
(SSTERF/DSTERF) All eigenvalues of real symmetric tridiagonal matrix, root-free variant of QL or QR |

F08JGF |
(SPTEQR/DPTEQR) All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from real symmetric positive-definite matrix |

F08JJF |
(SSTEBZ/DSTEBZ) Selected eigenvalues of real symmetric tridiagonal matrix by bisection |

F08JKF |
(SSTEIN/DSTEIN) Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array |

F08JSF |
(CSTEQR/ZSTEQR) All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using implicit QL or QR |

F08JUF |
(CPTEQR/ZPTEQR) All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from complex Hermitian positive-definite matrix |

F08JXF |
(CSTEIN/ZSTEIN) Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array |

F08KEF |
(SGEBRD/DGEBRD) Orthogonal reduction of real general rectangular matrix to bidiagonal form |

F08KFF |
(SORGBR/DORGBR) Generate orthogonal transformation matrices from reduction to bidiagonal form determined by F08KEF |

F08KGF |
(SORMBR/DORMBR) Apply orthogonal transformations from reduction to bidiagonal form determined by F08KEF |

F08KSF |
(CGEBRD/ZGEBRD) Unitary reduction of complex general rectangular matrix to bidiagonal form |

F08KTF |
(CUNGBR/ZUNGBR) Generate unitary transformation matrices from reduction to bidiagonal form determined by F08KSF |

F08KUF |
(CUNMBR/ZUNMBR) Apply unitary transformations from reduction to bidiagonal form determined by F08KSF |

F08LEF |
(SGBBRD/DGBBRD) Reduction of real rectangular band matrix to upper bidiagonal form |

F08LSF |
(CGBBRD/ZGBBRD) Reduction of complex rectangular band matrix to upper bidiagonal form |

F08MEF |
(SBDSQR/DBDSQR) SVD of real bidiagonal matrix reduced from real general matrix |

F08MSF |
(CBDSQR/ZBDSQR) SVD of real bidiagonal matrix reduced from complex general matrix |

F08NEF |
(SGEHRD/DGEHRD) Orthogonal reduction of real general matrix to upper Hessenberg form |

F08NFF |
(SORGHR/DORGHR) Generate orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |

F08NGF |
(SORMHR/DORMHR) Apply orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |

F08NHF |
(SGEBAL/DGEBAL) Balance real general matrix |

F08NJF |
(SGEBAK/DGEBAK) Transform eigenvectors of real balanced matrix to those of original matrix supplied to F08NHF |

F08NSF |
(CGEHRD/ZGEHRD) Unitary reduction of complex general matrix to upper Hessenberg form |

F08NTF |
(CUNGHR/ZUNGHR) Generate unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |

F08NUF |
(CUNMHR/ZUNMHR) Apply unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |

F08NVF |
(CGEBAL/ZGEBAL) Balance complex general matrix |

F08NWF |
(CGEBAK/ZGEBAK) Transform eigenvectors of complex balanced matrix to those of original matrix supplied to F08NVF |

F08PEF |
(SHSEQR/DHSEQR) Eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |

F08PKF |
(SHSEIN/DHSEIN) Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration |

F08PSF |
(CHSEQR/ZHSEQR) Eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |

F08PXF |
(CHSEIN/ZHSEIN) Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration |

F08QFF |
(STREXC/DTREXC) Reorder Schur factorization of real matrix using orthogonal similarity transformation |

F08QGF |
(STRSEN/DTRSEN) Reorder Schur factorization of real matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |

F08QHF |
(STRSYL/DTRSYL) Solve real Sylvester matrix equation AX + XB = C, A and B are upper quasi-triangular or transposes |

F08QKF |
(STREVC/DTREVC) Left and right eigenvectors of real upper quasi-triangular matrix |

F08QLF |
(STRSNA/DTRSNA) Estimates of sensitivities of selected eigenvalues and eigenvectors of real upper quasi-triangular matrix |

F08QTF |
(CTREXC/ZTREXC) Reorder Schur factorization of complex matrix using unitary similarity transformation |

F08QUF |
(CTRSEN/ZTRSEN) Reorder Schur factorization of complex matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |

F08QVF |
(CTRSYL/ZTRSYL) Solve complex Sylvester matrix equation AX + XB = C, A and B are upper triangular or conjugate-transposes |

F08QXF |
(CTREVC/ZTREVC) Left and right eigenvectors of complex upper triangular matrix |

F08QYF |
(CTRSNA/ZTRSNA) Estimates of sensitivities of selected eigenvalues and eigenvectors of complex upper triangular matrix |

F08SEF |
(SSYGST/DSYGST) Reduction to standard form of real symmetric-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lamda x, B factorized by F07FDF |

F08SSF |
(CHEGST/ZHEGST) Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lambda x, B factorized by F07FRF |

F08TEF |
(SSPGST/DSPGST) Reduction to standard form of real symmetric-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lamda x, packed storage, B factorized by F07GDF |

F08TSF |
(CHPGST/ZHPGST) Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lamda x, packed storage, B factorized by F07GRF |

F08UEF |
(SSBGST/DSBGST) Reduction of real symmetric-definite banded generalized eigenproblem Ax = lamda Bx to standard form Cy = lamda y, such that C has the same bandwidth as A |

F08UFF |
(SPBSTF/DPBSTF) Computes a split Cholesky factorization of real symmetric positive-definite band matrix A |

F08USF |
(CHBGST/ZHBGST) Reduction of complex Hermitian-definite banded generalized eigenproblem Ax = lamda Bx to standard form Cy = lamda y, such that C has the same bandwidth as A |

F08UTF |
(CPBSTF/ZPBSTF) Computes a split Cholesky factorization of complex Hermitian positive-definite band matrix A |

F11BAF |
Real sparse nonsymmetric linear systems, set-up for F11BBF |

F11BBF |
Real sparse nonsymmetric linear systems, preconditioned RGMRES, CGS or Bi-CGSTAB |

F11BCF |
Real sparse nonsymmetric linear systems, diagnostic for F11BBF |

F11BDF |
Real sparse nonsymmetric linear systems, set-up for F11BEF |

F11BEF |
Real sparse nonsymmetric linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method |

F11BFF |
Real sparse nonsymmetric linear systems, diagnostic for F11BEF |

F11BRF |
Complex sparse non-Hermitian linear systems, set-up for F11BSF |

F11BSF |
Complex sparse non-Hermitian linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method |

F11BTF |
Complex sparse non-Hermitian linear systems, diagnostic for F11BSF |

F11DAF |
Real sparse nonsymmetric linear systems, incomplete LU factorization |

F11DBF |
Solution of linear system involving incomplete LU preconditioning matrix generated by F11DAF |

F11DCF |
Solution of real sparse nonsymmetric linear system, RGMRES, CGS or Bi-CGSTAB method, preconditioner computed by F11DAF (Black Box) |

F11DDF |
Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse nonsymmetric matrix |

F11DEF |
Solution of real sparse nonsymmetric linear system, RGMRES, CGS or Bi-CGSTAB method, Jacobi or SSOR preconditioner (Black Box) |

F11DKF |
Real sparse nonsymmetric linear systems, line Jacobi preconditioner |

F11DNF |
Complex sparse non-Hermitian linear systems, incomplete LU factorization |

F11DPF |
Solution of complex linear system involving incomplete LU preconditioning matrix generated by F11DNF |

F11DQF |
Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by F11DNF (Black Box) |

F11DRF |
Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse non-Hermitian matrix |

F11DSF |
Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, Jacobi or SSOR preconditioner (Black Box) |

F11GAF |
Real sparse symmetric linear systems, set-up for F11GBF |

F11GBF |
Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos |

F11GCF |
Real sparse symmetric linear systems, diagnostic for F11GBF |

F11GDF |
Real sparse symmetric linear systems, set-up for F11GEF |

F11GEF |
Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos, threadsafe |

F11GFF |
Real sparse symmetric linear systems, diagnostic for F11GEF |

F11JAF |
Real sparse symmetric matrix, incomplete Cholesky factorization |

F11JBF |
Solution of linear system involving incomplete Cholesky preconditioning matrix generated by F11JAF |

F11JCF |
Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JAF (Black Box) |

F11JDF |
Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix |

F11JEF |
Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |

F11JNF |
Complex sparse Hermitian matrix, incomplete Cholesky factorization |

F11JPF |
Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by F11JNF |

F11JQF |
Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JNF (Black Box) |

F11JRF |
Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse Hermitian matrix |

F11JSF |
Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box) |

F11XAF |
Real sparse nonsymmetric matrix vector multiply |

F11XEF |
Real sparse symmetric matrix vector multiply |

F11XNF |
Complex sparse non-Hermitian matrix vector multiply |

F11XSF |
Complex sparse Hermitian matrix vector multiply |

F11ZAF |
Real sparse nonsymmetric matrix reorder routine |

F11ZBF |
Real sparse symmetric matrix reorder routine |

F11ZNF |
Complex sparse non-Hermitian matrix reorder routine |

F11ZPF |
Complex sparse Hermitian matrix reorder routine |

G01AAF |
Mean, variance, skewness, kurtosis, etc, one variable, from raw data |

G01ABF |
Mean, variance, skewness, kurtosis, etc, two variables, from raw data |

G01ADF |
Mean, variance, skewness, kurtosis, etc, one variable, from frequency table |

G01AEF |
Frequency table from raw data |

G01AFF |
Two-way contingency table analysis, with chi-square/Fisher's exact test |

G01AGF |
Lineprinter scatterplot of two variables |

G01AHF |
Lineprinter scatterplot of one variable against Normal scores |

G01AJF |
Lineprinter histogram of one variable |

G01ALF |
Computes a five-point summary (median, hinges and extremes) |

G01ARF |
Constructs a stem and leaf plot |

G01ASF |
Constructs a box and whisker plot |

G01BJF |
Binomial distribution function |

G01BKF |
Poisson distribution function |

G01BLF |
Hypergeometric distribution function |

G01DAF |
Normal scores, accurate values |

G01DBF |
Normal scores, approximate values |

G01DCF |
Normal scores, approximate variance-covariance matrix |

G01DDF |
Shapiro and Wilk's W test for Normality |

G01DHF |
Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores |

G01EAF |
Computes probabilities for the standard Normal distribution |

G01EBF |
Computes probabilities for Student's t-distribution |

G01ECF |
Computes probabilities for chi-square distribution |

G01EDF |
Computes probabilities for F-distribution |

G01EEF |
Computes upper and lower tail probabilities and probability density function for the beta distribution |

G01EFF |
Computes probabilities for the gamma distribution |

G01EMF |
Computes probability for the Studentized range statistic |

G01EPF |
Computes bounds for the significance of a Durbin--Watson statistic |

G01ERF |
Computes probability for von Mises distribution |

G01EYF |
Computes probabilities for the one-sample Kolmogorov--Smirnov distribution |

G01EZF |
Computes probabilities for the two-sample Kolmogorov--Smirnov distribution |

G01FAF |
Computes deviates for the standard Normal distribution |

G01FBF |
Computes deviates for Student's t-distribution |

G01FCF |
Computes deviates for the chi-square distribution |

G01FDF |
Computes deviates for the F-distribution |

G01FEF |
Computes deviates for the beta distribution |

G01FFF |
Computes deviates for the gamma distribution |

G01FMF |
Computes deviates for the Studentized range statistic |

G01GBF |
Computes probabilities for the non-central Student's t-distribution |

G01GCF |
Computes probabilities for the non-central chi-square distribution |

G01GDF |
Computes probabilities for the non-central F-distribution |

G01GEF |
Computes probabilities for the non-central beta distribution |

G01HAF |
Computes probability for the bivariate Normal distribution |

G01HBF |
Computes probabilities for the multivariate Normal distribution |

G01JCF |
Computes probability for a positive linear combination of chi-square variables |

G01JDF |
Computes lower tail probability for a linear combination of (central) chi-square variables |

G01MBF |
Computes reciprocal of Mills' Ratio |

G01NAF |
Cumulants and moments of quadratic forms in Normal variables |

G01NBF |
Moments of ratios of quadratic forms in Normal variables, and related statistics |

G02BAF |
Pearson product-moment correlation coefficients, all variables, no missing values |

G02BBF |
Pearson product-moment correlation coefficients, all variables, casewise treatment of missing values |

G02BCF |
Pearson product-moment correlation coefficients, all variables, pairwise treatment of missing values |

G02BDF |
Correlation-like coefficients (about zero), all variables, no missing values |

G02BEF |
Correlation-like coefficients (about zero), all variables, casewise treatment of missing values |

G02BFF |
Correlation-like coefficients (about zero), all variables, pairwise treatment of missing values |

G02BGF |
Pearson product-moment correlation coefficients, subset of variables, no missing values |

G02BHF |
Pearson product-moment correlation coefficients, subset of variables, casewise treatment of missing values |

G02BJF |
Pearson product-moment correlation coefficients, subset of variables, pairwise treatment of missing values |

G02BKF |
Correlation-like coefficients (about zero), subset of variables, no missing values |

G02BLF |
Correlation-like coefficients (about zero), subset of variables, casewise treatment of missing values |

G02BMF |
Correlation-like coefficients (about zero), subset of variables, pairwise treatment of missing values |

G02BNF |
Kendall/Spearman non-parametric rank correlation coefficients, no missing values, overwriting input data |

G02BPF |
Kendall/Spearman non-parametric rank correlation coefficients, casewise treatment of missing values, overwriting input data |

G02BQF |
Kendall/Spearman non-parametric rank correlation coefficients, no missing values, preserving input data |

G02BRF |
Kendall/Spearman non-parametric rank correlation coefficients, casewise treatment of missing values, preserving input data |

G02BSF |
Kendall/Spearman non-parametric rank correlation coefficients, pairwise treatment of missing values |

G02BTF |
Update a weighted sum of squares matrix with a new observation |

G02BUF |
Computes a weighted sum of squares matrix |

G02BWF |
Computes a correlation matrix from a sum of squares matrix |

G02BXF |
Computes (optionally weighted) correlation and covariance matrices |

G02BYF |
Computes partial correlation/variance-covariance matrix from correlation/variance-covariance matrix computed by G02BXF |

G02CAF |
Simple linear regression with constant term, no missing values |

G02CBF |
Simple linear regression without constant term, no missing values |

G02CCF |
Simple linear regression with constant term, missing values |

G02CDF |
Simple linear regression without constant term, missing values |

G02CEF |
Service routines for multiple linear regression, select elements from vectors and matrices |

G02CFF |
Service routines for multiple linear regression, re-order elements of vectors and matrices |

G02CGF |
Multiple linear regression, from correlation coefficients, with constant term |

G02CHF |
Multiple linear regression, from correlation-like coefficients, without constant term |

G02DAF |
Fits a general (multiple) linear regression model |

G02DCF |
Add/delete an observation to/from a general linear regression model |

G02DDF |
Estimates of linear parameters and general linear regression model from updated model |

G02DEF |
Add a new variable to a general linear regression model |

G02DFF |
Delete a variable from a general linear regression model |

G02DGF |
Fits a general linear regression model for new dependent variable |

G02DKF |
Estimates and standard errors of parameters of a general linear regression model for given constraints |

G02DNF |
Computes estimable function of a general linear regression model and its standard error |

G02EAF |
Computes residual sums of squares for all possible linear regressions for a set of independent variables |

G02ECF |
Calculates R^{2} and C values from residual sums of squares_{P} |

G02EEF |
Fits a linear regression model by forward selection |

G02FAF |
Calculates standardized residuals and influence statistics |

G02FCF |
Computes Durbin--Watson test statistic |

G02GAF |
Fits a generalized linear model with Normal errors |

G02GBF |
Fits a generalized linear model with binomial errors |

G02GCF |
Fits a generalized linear model with Poisson errors |

G02GDF |
Fits a generalized linear model with gamma errors |

G02GKF |
Estimates and standard errors of parameters of a general linear model for given constraints |

G02GNF |
Computes estimable function of a generalized linear model and its standard error |

G02HAF |
Robust regression, standard M-estimates |

G02HBF |
Robust regression, compute weights for use with G02HDF |

G02HDF |
Robust regression, compute regression with user-supplied functions and weights |

G02HFF |
Robust regression, variance-covariance matrix following G02HDF |

G02HKF |
Calculates a robust estimation of a correlation matrix, Huber's weight function |

G02HLF |
Calculates a robust estimation of a correlation matrix, user-supplied weight function plus derivatives |

G02HMF |
Calculates a robust estimation of a correlation matrix, user-supplied weight function |

G03AAF |
Performs principal component analysis |

G03ACF |
Performs canonical variate analysis |

G03ADF |
Performs canonical correlation analysis |

G03BAF |
Computes orthogonal rotations for loading matrix, generalized orthomax criterion |

G03BCF |
Computes Procrustes rotations |

G03CAF |
Computes maximum likelihood estimates of the parameters of a factor analysis model, factor loadings, communalities and residual correlations |

G03CCF |
Computes factor score coefficients (for use after G03CAF) |

G03DAF |
Computes test statistic for equality of within-group covariance matrices and matrices for discriminant analysis |

G03DBF |
Computes Mahalanobis squared distances for group or pooled variance-covariance matrices (for use after G03DAF) |

G03DCF |
Allocates observations to groups according to selected rules (for use after G03DAF) |

G03EAF |
Computes distance matrix |

G03ECF |
Hierarchical cluster analysis |

G03EFF |
K-means cluster analysis |

G03EHF |
Constructs dendrogram (for use after G03ECF) |

G03EJF |
Computes cluster indicator variable (for use after G03ECF) |

G03FAF |
Performs principal co-ordinate analysis, classical metric scaling |

G03FCF |
Performs non-metric (ordinal) multidimensional scaling |

G03ZAF |
Produces standardized values (z-scores) for a data matrix |

G04AGF |
Two-way analysis of variance, hierarchical classification, subgroups of unequal size |

G04BBF |
Analysis of variance, randomized block or completely randomized design, treatment means and standard errors |

G04BCF |
Analysis of variance, general row and column design, treatment means and standard errors |

G04CAF |
Analysis of variance, complete factorial design, treatment means and standard errors |

G04DAF |
Computes sum of squares for contrast between means |

G04DBF |
Computes confidence intervals for differences between means computed by G04BBF or G04BCF |

G04EAF |
Computes orthogonal polynomials or dummy variables for factor/classification variable |

G05CAF |
Pseudo-random real numbers, uniform distribution over (0,1) |

G05CBF |
Initialise random number generating routines to give repeatable sequence |

G05CCF |
Initialise random number generating routines to give non-repeatable sequence |

G05CFF |
Save state of random number generating routines |

G05CGF |
Restore state of random number generating routines |

G05DAF |
Pseudo-random real numbers, uniform distribution over (a,b) |

G05DBF |
Pseudo-random real numbers, (negative) exponential distribution |

G05DCF |
Pseudo-random real numbers, logistic distribution |

G05DDF |
Pseudo-random real numbers, Normal distribution |

G05DEF |
Pseudo-random real numbers, log-normal distribution |

G05DFF |
Pseudo-random real numbers, Cauchy distribution |

G05DHF |
Pseudo-random real numbers, chi-square distribution |

G05DJF |
Pseudo-random real numbers, Student's t-distribution |

G05DKF |
Pseudo-random real numbers, F-distribution |

G05DPF |
Pseudo-random real numbers, Weibull distribution |

G05DRF |
Pseudo-random integer, Poisson distribution |

G05DYF |
Pseudo-random integer from uniform distribution |

G05DZF |
Pseudo-random logical (boolean) value |

G05EAF |
Set up reference vector for multivariate Normal distribution |

G05EBF |
Set up reference vector for generating pseudo-random integers, uniform distribution |

G05ECF |
Set up reference vector for generating pseudo-random integers, Poisson distribution |

G05EDF |
Set up reference vector for generating pseudo-random integers, binomial distribution |

G05EEF |
Set up reference vector for generating pseudo-random integers, negative binomial distribution |

G05EFF |
Set up reference vector for generating pseudo-random integers, hypergeometric distribution |

G05EGF |
Set up reference vector for univariate ARMA time series model |

G05EHF |
Pseudo-random permutation of an integer vector |

G05EJF |
Pseudo-random sample from an integer vector |

G05EWF |
Generate next term from reference vector for ARMA time series model |

G05EXF |
Set up reference vector from supplied cumulative distribution function or probability distribution function |

G05EYF |
Pseudo-random integer from reference vector |

G05EZF |
Pseudo-random multivariate Normal vector from reference vector |

G05FAF |
Generates a vector of random numbers from a uniform distribution |

G05FBF |
Generates a vector of random numbers from an (negative) exponential distribution |

G05FDF |
Generates a vector of random numbers from a Normal distribution |

G05FEF |
Generates a vector of pseudo-random numbers from a beta distribution |

G05FFF |
Generates a vector of pseudo-random numbers from a gamma distribution |

G05FSF |
Generates a vector of pseudo-random variates from von Mises distribution |

G05GAF |
Computes random orthogonal matrix |

G05GBF |
Computes random correlation matrix |

G05HDF |
Generates a realisation of a multivariate time series from a VARMA model |

G05ZAF |
Selection of basic algorithm random number generator or Wichmann--Hill algorithm generators for subsequent calls to G05 routines |

G07AAF |
Computes confidence interval for the parameter of a binomial distribution |

G07ABF |
Computes confidence interval for the parameter of a Poisson distribution |

G07BBF |
Computes maximum likelihood estimates for parameters of the Normal distribution from grouped and/or censored data |

G07BEF |
Computes maximum likelihood estimates for parameters of the Weibull distribution |

G07CAF |
Computes t-test statistic for a difference in means between two Normal populations, confidence interval |

G07DAF |
Robust estimation, median, median absolute deviation, robust standard deviation |

G07DBF |
Robust estimation, M-estimates for location and scale parameters, standard weight functions |

G07DCF |
Robust estimation, M-estimates for location and scale parameters, user-defined weight functions |

G07DDF |
Computes a trimmed and winsorized mean of a single sample with estimates of their variance |

G07EAF |
Robust confidence intervals, one-sample |

G07EBF |
Robust confidence intervals, two-sample |

G08AAF |
Sign test on two paired samples |

G08ACF |
Median test on two samples of unequal size |

G08AEF |
Friedman two-way analysis of variance on k matched samples |

G08AFF |
Kruskal--Wallis one-way analysis of variance on k samples of unequal size |

G08AGF |
Performs the Wilcoxon one-sample (matched pairs) signed rank test |

G08AHF |
Performs the Mann--Whitney U test on two independent samples |

G08AJF |
Computes the exact probabilities for the Mann--Whitney U statistic, no ties in pooled sample |

G08AKF |
Computes the exact probabilities for the Mann--Whitney U statistic, ties in pooled sample |

G08ALF |
Performs the Cochran Q test on cross-classified binary data |

G08BAF |
Mood's and David's tests on two samples of unequal size |

G08CBF |
Performs the one-sample Kolmogorov--Smirnov test for standard distributions |

G08CCF |
Performs the one-sample Kolmogorov--Smirnov test for a user-supplied distribution |

G08CDF |
Performs the two-sample Kolmogorov--Smirnov test |

G08CGF |
Performs the chi-square goodness of fit test, for standard continuous distributions |

G08DAF |
Kendall's coefficient of concordance |

G08EAF |
Performs the runs up or runs down test for randomness |

G08EBF |
Performs the pairs (serial) test for randomness |

G08ECF |
Performs the triplets test for randomness |

G08EDF |
Performs the gaps test for randomness |

G08RAF |
Regression using ranks, uncensored data |

G08RBF |
Regression using ranks, right-censored data |

G10ABF |
Fit cubic smoothing spline, smoothing parameter given |

G10ACF |
Fit cubic smoothing spline, smoothing parameter estimated |

G10BAF |
Kernel density estimate using Gaussian kernel |

G10CAF |
Compute smoothed data sequence using running median smoothers |

G10ZAF |
Reorder data to give ordered distinct observations |

G11AAF |
chi-square statistics for two-way contingency table |

G11BAF |
Computes multiway table from set of classification factors using selected statistic |

G11BBF |
Computes multiway table from set of classification factors using given percentile/quantile |

G11BCF |
Computes marginal tables for multiway table computed by G11BAF or G11BBF |

G11CAF |
Returns parameter estimates for the conditional analysis of stratified data |

G11SAF |
Contingency table, latent variable model for binary data |

G11SBF |
Frequency count for G11SAF |

G12AAF |
Computes Kaplan--Meier (product-limit) estimates of survival probabilities |

G12BAF |
Fits Cox's proportional hazard model |

G12ZAF |
Creates the risk sets associated with the Cox proportional hazards model for fixed covariates |

G13AAF |
Univariate time series, seasonal and non-seasonal differencing |

G13ABF |
Univariate time series, sample autocorrelation function |

G13ACF |
Univariate time series, partial autocorrelations from autocorrelations |

G13ADF |
Univariate time series, preliminary estimation, seasonal ARIMA model |

G13AEF |
Univariate time series, estimation, seasonal ARIMA model (comprehensive) |

G13AFF |
Univariate time series, estimation, seasonal ARIMA model (easy-to-use) |

G13AGF |
Univariate time series, update state set for forecasting |

G13AHF |
Univariate time series, forecasting from state set |

G13AJF |
Univariate time series, state set and forecasts, from fully specified seasonal ARIMA model |

G13ASF |
Univariate time series, diagnostic checking of residuals, following G13AEF or G13AFF |

G13AUF |
Computes quantities needed for range-mean or standard deviation-mean plot |

G13BAF |
Multivariate time series, filtering (pre-whitening) by an ARIMA model |

G13BBF |
Multivariate time series, filtering by a transfer function model |

G13BCF |
Multivariate time series, cross-correlations |

G13BDF |
Multivariate time series, preliminary estimation of transfer function model |

G13BEF |
Multivariate time series, estimation of multi-input model |

G13BGF |
Multivariate time series, update state set for forecasting from multi-input model |

G13BHF |
Multivariate time series, forecasting from state set of multi-input model |

G13BJF |
Multivariate time series, state set and forecasts from fully specified multi-input model |

G13CAF |
Univariate time series, smoothed sample spectrum using rectangular, Bartlett, Tukey or Parzen lag window |

G13CBF |
Univariate time series, smoothed sample spectrum using spectral smoothing by the trapezium frequency (Daniell) window |

G13CCF |
Multivariate time series, smoothed sample cross spectrum using rectangular, Bartlett, Tukey or Parzen lag window |

G13CDF |
Multivariate time series, smoothed sample cross spectrum using spectral smoothing by the trapezium frequency (Daniell) window |

G13CEF |
Multivariate time series, cross amplitude spectrum, squared coherency, bounds, univariate and bivariate (cross) spectra |

G13CFF |
Multivariate time series, gain, phase, bounds, univariate and bivariate (cross) spectra |

G13CGF |
Multivariate time series, noise spectrum, bounds, impulse response function and its standard error |

G13DBF |
Multivariate time series, multiple squared partial autocorrelations |

G13DCF |
Multivariate time series, estimation of VARMA model |

G13DJF |
Multivariate time series, forecasts and their standard errors |

G13DKF |
Multivariate time series, updates forecasts and their standard errors |

G13DLF |
Multivariate time series, differences and/or transforms (for use before G13DCF) |

G13DMF |
Multivariate time series, sample cross-correlation or cross-covariance matrices |

G13DNF |
Multivariate time series, sample partial lag correlation matrices, chi-square statistics and significance levels |

G13DPF |
Multivariate time series, partial autoregression matrices |

G13DSF |
Multivariate time series, diagnostic checking of residuals, following G13DCF |

G13DXF |
Calculates the zeros of a vector autoregressive (or moving average) operator |

G13EAF |
Combined measurement and time update, one iteration of Kalman filter, time-varying, square root covariance filter |

G13EBF |
Combined measurement and time update, one iteration of Kalman filter, time-invariant, square root covariance filter |

H02BBF |
Integer LP problem (dense) |

H02BFF |
Interpret MPSX data file defining IP or LP problem, optimize and print solution |

H02BUF |
Convert MPSX data file defining IP or LP problem to format required by H02BBF or E04MFF |

H02BVF |
Print IP or LP solutions with user specified names for rows and columns |

H02BZF |
Integer programming solution, supplies further information on solution obtained by H02BBF |

H02CBF |
Integer QP problem (dense) |

H02CCF |
Read optional parameter values for H02CBF from external file |

H02CDF |
Supply optional parameter values to H02CBF |

H02CEF |
Integer LP or QP problem (sparse) |

H02CFF |
Read optional parameter values for H02CEF from external file |

H02CGF |
Supply optional parameter values to H02CEF |

H03ABF |
Transportation problem, modified `stepping stone' method |

H03ADF |
Shortest path problem, Dijkstra's algorithm |

M01CAF |
Sort a vector, real numbers |

M01CBF |
Sort a vector, integer numbers |

M01CCF |
Sort a vector, character data |

M01DAF |
Rank a vector, real numbers |

M01DBF |
Rank a vector, integer numbers |

M01DCF |
Rank a vector, character data |

M01DEF |
Rank rows of a matrix, real numbers |

M01DFF |
Rank rows of a matrix, integer numbers |

M01DJF |
Rank columns of a matrix, real numbers |

M01DKF |
Rank columns of a matrix, integer numbers |

M01DZF |
Rank arbitrary data |

M01EAF |
Rearrange a vector according to given ranks, real numbers |

M01EBF |
Rearrange a vector according to given ranks, integer numbers |

M01ECF |
Rearrange a vector according to given ranks, character data |

M01EDF |
Rearrange a vector according to given ranks, complex numbers |

M01ZAF |
Invert a permutation |

M01ZBF |
Check validity of a permutation |

M01ZCF |
Decompose a permutation into cycles |

P01ABF |
Return value of error indicator/terminate with error message |

S01BAF |
ln(1 + x) |

S01EAF |
Complex exponential, e^{z} |

S07AAF |
tan x |

S09AAF |
arcsin x |

S09ABF |
arccos x |

S10AAF |
tanh x |

S10ABF |
sinh x |

S10ACF |
cosh x |

S11AAF |
arctanh x |

S11ABF |
arcsinh x |

S11ACF |
arccosh x |

S13AAF |
Exponential integral E_{1}(x) |

S13ACF |
Cosine integral Ci(x) |

S13ADF |
Sine integral Si(x) |

S14AAF |
Gamma function |

S14ABF |
Log Gamma function |

S14ACF |
psi (x) - ln x |

S14ADF |
Scaled derivatives of psi (x) |

S14BAF |
Incomplete Gamma functions P(a,x) and Q(a,x) |

S15ABF |
Cumulative normal distribution function P(x) |

S15ACF |
Complement of cumulative normal distribution function Q(x) |

S15ADF |
Complement of error function erfc (x) |

S15AEF |
Error function erf (x) |

S15AFF |
Dawson's integral |

S15DDF |
Scaled complex complement of error function, exp(-z^{2})erfc(-iz) |

S17ACF |
Bessel function Y_{0} (x) |

S17ADF |
Bessel function Y_{1} (x) |

S17AEF |
Bessel function J_{0} (x) |

S17AFF |
Bessel function J_{1} (x) |

S17AGF |
Airy function Ai (x) |

S17AHF |
Airy function Bi (x) |

S17AJF |
Airy function Ai '(x) |

S17AKF |
Airy function Bi '(x) |

S17DCF |
Bessel functions Y_{nu+a}(z), real a >= 0, complex z, nu = 0,1,2,... |

S17DEF |
Bessel functions J_{nu+a}(z), real a >= 0, complex z, nu = 0,1,2,... |

S17DGF |
Airy functions Ai(z) and Ai'(z), complex z} |

S17DHF |
Airy functions Bi(z) and Bi'(z), complex z} |

S17DLF |
Hankel functions H_{nu+a}^{(j)}(z), j = 1,2, real a >= 0, complex z, nu = 0,1,2,... |

S18ACF |
Modified Bessel function K_{0} (x) |

S18ADF |
Modified Bessel function K_{1}(x) |

S18AEF |
Modified Bessel function I_{0}(x) |

S18AFF |
Modified Bessel function I_{1}(x) |

S18CCF |
Modified Bessel function e^{x}K_{0}(x) |

S18CDF |
Modified Bessel function e^{x}K_{1}(x) |

S18CEF |
Modified Bessel function e^{-|x|}I_{0}(x) |

S18CFF |
Modified Bessel function e^{-|x|}I_{1}(x) |

S18DCF |
Modified Bessel functions K_{nu+a}(z), real a >= 0, complex z, nu = 0,1,2,... |

S18DEF |
Modified Bessel functions I_{nu+a}(z), real a >= 0, complex z, nu = 0,1,2,... |

S19AAF |
Kelvin function ber x |

S19ABF |
Kelvin function bei x |

S19ACF |
Kelvin function ker x |

S19ADF |
Kelvin function kei x |

S20ACF |
Fresnel integral S(x) |

S20ADF |
Fresnel integral C(x) |

S21BAF |
Degenerate symmetrised elliptic integral of 1st kind R_{C}(x,y) |

S21BBF |
Symmetrised elliptic integral of 1st kind R_{F}(x,y,z) |

S21BCF |
Symmetrised elliptic integral of 2nd kind R_{D}(x,y,z) |

S21BDF |
Symmetrised elliptic integral of 3rd kind R_{J}(x,y,z,r) |

S21CAF |
Jacobian elliptic functions sn, cn and dn |

X01AAF |
Provides the mathematical constant pi |

X01ABF |
Provides the mathematical constant gamma (Euler's Constant) |

X02AHF |
The largest permissible argument for sin and cos |

X02AJF |
The machine precision |

X02AKF |
The smallest positive model number |

X02ALF |
The largest positive model number |

X02AMF |
The safe range parameter |

X02ANF |
The safe range parameter for complex floating-point arithmetic |

X02BBF |
The largest representable integer |

X02BEF |
The maximum number of decimal digits that can be represented |

X02BHF |
The floating-point model parameter, b |

X02BJF |
The floating-point model parameter, p |

X02BKF |
The floating-point model parameter e_{min} |

X02BLF |
The floating-point model parameter e_{max} |

X02DAF |
Switch for taking precautions to avoid underflow |

X02DJF |
The floating-point model parameter ROUNDS |

X03AAF |
Real inner product added to initial value, basic/additional precision |

X03ABF |
Complex inner product added to initial value, basic/additional precision |

X04AAF |
Return or set unit number for error messages |

X04ABF |
Return or set unit number for advisory messages |

X04ACF |
Open unit number for reading, writing or appending, and associate unit with named file |

X04ADF |
Close file associated with given unit number |

X04BAF |
Write formatted record to external file |

X04BBF |
Read formatted record from external file |

X04CAF |
Print real general matrix (easy-to-use) |

X04CBF |
Print real general matrix (comprehensive) |

X04CCF |
Print real packed triangular matrix (easy-to-use) |

X04CDF |
Print real packed triangular matrix (comprehensive) |

X04CEF |
Print real packed banded matrix (easy-to-use) |

X04CFF |
Print real packed banded matrix (comprehensive) |

X04DAF |
Print complex general matrix (easy-to-use) |

X04DBF |
Print complex general matrix (comprehensive) |

X04DCF |
Print complex packed triangular matrix (easy-to-use) |

X04DDF |
Print complex packed triangular matrix (comprehensive) |

X04DEF |
Print complex packed banded matrix (easy-to-use) |

X04DFF |
Print complex packed banded matrix (comprehensive) |

X04EAF |
Print integer matrix (easy-to-use) |

X04EBF |
Print integer matrix (comprehensive) |

X05AAF |
Return date and time as an array of integers |

X05ABF |
Convert array of integers representing date and time to character string |

X05ACF |
Compare two character strings representing date and time |

X05BAF |
Return the CPU time |

© The Numerical Algorithms Group Ltd, Oxford UK. 2000