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Library Contents

Chapter A00 - Library Identification

A00AAF Prints details of the NAG Fortran Library implementation

Chapter A02 - Complex Arithmetic

A02AAF Square root of complex number
A02ABF Modulus of complex number
A02ACF Quotient of two complex numbers

Chapter C02 - Zeros of Polynomials

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

Chapter C05 - Roots of One or More Transcendental Equations

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

Chapter C06 - Summation of Series

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)

Chapter D01 - Quadrature

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

Chapter D02 - Ordinary Differential Equations

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, C1 interpolant
D02ZAF ODEs, IVP, weighted norm of local error estimate for D02M--N routines

Chapter D03 - Partial Differential Equations

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 C0 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 C0 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

Chapter D04 - Numerical Differentiation

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

Chapter D05 - Integral Equations

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

Chapter E01 - Interpolation

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

Chapter E02 - Curve and Surface Fitting

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 L1-approximation by general linear function
E02GBF L1-approximation by general linear function subject to linear inequality constraints
E02GCF Linfinity-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

Chapter E04 - Minimizing or Maximizing a Function

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

Chapter F01 - Matrix Factorizations

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 ULDLTUT factorization of real symmetric positive-definite band matrix
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 LDLT factorization of real symmetric positive-definite variable-bandwidth matrix
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

Chapter F02 - Eigenvalues and Eigenvectors

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)

Chapter F03 - Determinants

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 LLT factorization and determinant of real symmetric positive-definite matrix
F03AFF LU factorization and determinant of real matrix

Chapter F04 - Simultaneous Linear Equations

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

Chapter F05 - Orthogonalisation

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

Chapter F06 - Linear Algebra Support Routines

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 (a2 + b2), 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

Chapter F07 - Linear Equations (LAPACK)

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