nag/A00AAF Library identification, details of implementation and mark nag/A02AAF Square root of a complex number nag/A02ABF Modulus of a complex number nag/A02ACF Quotient of two complex numbers nag/C02ADF All zeros of polynomial, Grant and Hitchins' method, complex coefficients nag/C02AEF All zeros of polynomial, Grant and Hitchins' method, real coefficients nag/C05ADF Zero of continuous function of one variable, in a given interval, Bus & Dekker algorithm nag/C05AGF Zero of continuous function of one variable, from a given starting value, searching for interval and Bus & Dekker algorithm nag/C05AJF Zero of continuous function of one variable, from a given starting value, continuation method nag/C05AVF Zero of continuous function of one variable, search for interval containing zero (reverse communication) nag/C05AXF Zero of continuous function of one variable, from a given starting value, continuation method (reverse communication) nag/C05AZF Zero of continuous function of one variable, in a given interval, Bus & Dekker algorithm (reverse communication) nag/C05NBF Solution of a system of non-linear equations (easy-to-use), using function values only nag/C05NCF Solution of a system of non-linear equations (comprehensive), using function values only nag/C05PBF Solution of a system of non-linear equations (easy-to-use), using first derivatives nag/C05PCF Solution of a system of non-linear equations (comprehensive), using first derivatives nag/C05ZAF Check user's routine for calculating first derivatives nag/C06BAF Acceleration of convergence of a sequence, by epsilon algorithm nag/C06DBF Sum of a Chebyshev series nag/C06EAF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, single transform, no extra workspace, real data nag/C06EBF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, single transform, no extra workspace, complex data, Hermitian sequence nag/C06ECF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, single transform, no extra workspace, complex data, general sequence nag/C06EKF Convolution or correlation of two real vectors, no extra workspace nag/C06FAF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, single transform, extra workspace for greater speed, real data nag/C06FBF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, single transform, extra workspace for greater speed, complex data, Hermitian sequence nag/C06FCF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, single transform, extra workspace for greater speed, complex data, general sequence nag/C06FFF Discrete Fourier transform, F.F.T. algorithm, multi-dimensional data, one-dimensional transform, complex data nag/C06FJF Discrete Fourier transform, F.F.T. algorithm, multi-dimensional data, multi-dimensional transform, complex data nag/C06FKF Convolution or correlation of two real vectors, extra workspace for greater speed nag/C06FPF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, multiple transforms, real data nag/C06FQF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, multiple transforms, complex data, Hermitian sequences nag/C06FRF Discrete Fourier transform, F.F.T. algorithm, one-dimensional data, multiple transforms, complex data, general sequences nag/C06GBF Complex conjugate, complex data, Hermitian sequence nag/C06GCF Complex conjugate, complex data, general sequence nag/C06GQF Complex conjugate, complex data, multiple Hermitian sequences nag/C06GSF Convert Hermitian sequences to general complex sequences nag/C06LAF Inverse Laplace transforms nag/D01AHF One-dimensional quadrature, adaptive integration over a finite interval, strategy due to Patterson, suitable for well-behaved integrands nag/D01AJF One-dimensional quadrature, adaptive integration over a finite interval, strategy due to Piessens & de Doncker, allowing for badly-behaved integrands nag/D01AKF One-dimensional quadrature, adaptive integration over a finite interval, method suitable for oscillating functions nag/D01ALF One-dimensional quadrature, adaptive integration over a finite interval, allowing for singularities at user-specified points nag/D01AMF One-dimensional quadrature, adaptive integration over an infinite or semi-infinite interval nag/D01ANF One-dimensional quadrature, adaptive integration over a finite interval, weight function cos(wx) or sin(wx) nag/D01APF One-dimensional quadrature, adaptive integration over a finite interval, weight function with end-point singularities of algebraico-logarithmic type nag/D01AQF One-dimensional quadrature, adaptive integration over a finite interval, weight function 1/(x-c) (Hilbert transform) nag/D01ARF One-dimensional quadrature, non-adaptive integration over a finite interval with provision for indefinite integrals also nag/D01BAF One-dimensional quadrature, Gaussian quadrature rule-evaluation nag/D01BBF Weights and abscissae for Gaussian quadrature rules, restricted choice of rule, using pre-computed weights and abscissae nag/D01BCF Weights and abscissae for Gaussian quadrature rules, more general choice of rule, calculating the weights and abscissae nag/D01BDF One-dimensional quadrature, non-adaptive integration over a finite interval nag/D01DAF Two-dimensional quadrature over a finite region nag/D01EAF Multi-dimensional quadrature, over a hyper-rectangle, adaptive method, multiple integrands nag/D01FBF Multi-dimensional quadrature, over a hyper-rectangle, Gaussian quadrature rule-evaluation nag/D01FCF Multi-dimensional quadrature, over a hyper-rectangle, adaptive method nag/D01FDF Multi-dimensional quadrature, over a general product region, Sag-Szekeres method (also over n-sphere) nag/D01GAF One-dimensional quadrature, integration of a function defined by data values only nag/D01GBF Multi-dimensional quadrature, over a hyper-rectangle, Monte-Carlo method nag/D01GCF Multi-dimensional quadrature, over a general product region, number-theoretic method nag/D01GYF Korobov optimal coefficients for use in D01GCF, when number of points is prime nag/D01GZF Korobov optimal coefficients for use in D01GCF, when number of points is a product of 2 primes nag/D01JAF Multi-dimensional quadrature, over an n-sphere (n<=4), allowing for badly behaved integrands nag/D01PAF Multi-dimensional quadrature, over an n-simplex nag/D02AGF System of ordinary differential equations, boundary value problem, shooting and matching technique, general parameters to be determined, allowing interior matching-point nag/D02BAF System of ordinary differential equations, initial value problem, Runge-Kutta-Merson method, (simple driver), over a range nag/D02BBF System of ordinary differential equations, initial value problem, Runge-Kutta-Merson method, (simple driver), over a range with intermediate output nag/D02BDF System of ordinary differential equations, initial value problem, Runge-Kutta-Merson method, (simple driver), over a range with global error estimate and stiffness check nag/D02BGF System of ordinary differential equations, initial value problem, Runge-Kutta-Merson method, (simple driver), until a component of the solution attains a given value nag/D02BHF System of ordinary differential equations, initial value problem, Runge-Kutta-Merson method, (simple driver), until a function of the solution is zero nag/D02CAF System of ordinary differential equations, initial value problem, variable-order variable-step Adams method, (simple driver), over a range nag/D02CBF System of ordinary differential equations, initial value problem, variable-order variable-step Adams method, (simple driver), over a range with intermediate output nag/D02CGF System of ordinary differential equations, initial value problem, variable-order variable-step Adams method, (simple driver), until a component of the solution attains a given value nag/D02CHF System of ordinary differential equations, initial value problem, variable-order variable-step Adams method, (simple driver), until a function of the solution is zero nag/D02EAF System of ordinary differential equations, initial value problem, variable-order variable-step BDF method for stiff systems, (simple driver), over a range nag/D02EBF System of ordinary differential equations, initial value problem, variable-order variable-step BDF method for stiff systems, (simple driver), over a range with intermediate output nag/D02EGF System of ordinary differential equations, initial value problem, variable-order variable-step BDF method for stiff systems, (simple driver), until a component of the solution attains a given value nag/D02EHF System of ordinary differential equations, initial value problem, variable-order variable-step BDF method for stiff systems, (simple driver), until a function of the solution is zero nag/D02EJF System of ordinary differential equations, initial value problem, variable-order variable-step BDF method for stiff systems, (simple driver), until a function of the solution is zero, with intermediate output nag/D02GAF System of ordinary differential equations, boundary value problem, finite difference technique with deferred correction, simple non-linear problem nag/D02GBF System of ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general linear problem nag/D02HAF System of ordinary differential equations, boundary value problem, shooting and matching technique, boundary values to be determined nag/D02HBF System of ordinary differential equations, boundary value problem, shooting and matching technique, general parameters to be determined nag/D02JAF System of ordinary differential equations, boundary value problem, collocation and least-squares, single N-th order linear equation nag/D02JBF System of ordinary differential equations, boundary value problem, collocation and least-squares, system of 1st order linear equations nag/D02KAF Second-order Sturm-Liouville problem, regular system, finite range, eigenvalue only nag/D02KDF Second-order Sturm-Liouville problem, regular/singular system, finite/infinite range, eigenvalue only nag/D02KEF Second-order Sturm-Liouville problem, regular/singular system, finite/infinite range, eigenvalue and eigenfunction nag/D02NBF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, explicit O.D.E.s, full Jacobian nag/D02NCF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, explicit O.D.E.s, banded Jacobian nag/D02NDF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, explicit O.D.E.s, sparse Jacobian nag/D02NGF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, implicit O.D.E.s coupled with algebraic equations, full Jacobian nag/D02NHF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, implicit O.D.E.s coupled with algebraic equations, banded Jacobian nag/D02NJF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, implicit O.D.E.s coupled with algebraic equations, sparse Jacobian nag/D02NMF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, explicit O.D.E.s (reverse communication) nag/D02NNF System of ordinary differential equations, initial value problem, comprehensive integrator for stiff systems, implicit O.D.E.s coupled with algebraic equations (reverse communication) nag/D02NRF System of ordinary differential equations, initial value problem, for use with D02N- routines, enquiry routine, sparse Jacobian nag/D02NSF System of ordinary differential equations, initial value problem, for use with D02N- routines, linear algebra set-up, full Jacobian nag/D02NTF System of ordinary differential equations, initial value problem, for use with D02N- routines, linear algebra set-up, banded Jacobian nag/D02NUF System of ordinary differential equations, initial value problem, for use with D02N- routines, linear algebra set-up, sparse Jacobian nag/D02NVF System of ordinary differential equations, initial value problem, for use with D02N- routines, integrator set-up, BDF method nag/D02NWF System of ordinary differential equations, initial value problem, for use with D02N- routines, integrator set-up, Blend method nag/D02NXF System of ordinary differential equations, initial value problem, for use with D02N- routines, linear algebra diagnostics, sparse Jacobian nag/D02NYF System of ordinary differential equations, initial value problem, for use with D02N- routines, integrator diagnostics nag/D02NZF System of ordinary differential equations, initial value problem, for use with D02N- routines, set-up for continuation calls to integrator nag/D02PAF System of ordinary differential equations, initial value problem, (comprehensive), Runge-Kutta-Merson method nag/D02QAF System of ordinary differential equations, initial value problem, (comprehensive), variable-order variable-step Adams method nag/D02QDF System of ordinary differential equations, initial value problem, (comprehensive), variable-order variable-step BDF method for stiff systems nag/D02QQF System of ordinary differential equations, initial value problem, interrupts set-up for D02QDF nag/D02RAF System of ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general non-linear problem, with continuation facility nag/D02SAF System of ordinary differential equations, boundary value problem, shooting and matching technique, general parameters to be determined, subject to extra algebraic equations nag/D02TGF System of ordinary differential equations, boundary value problem, collocation and least-squares, system of N-th order linear equations nag/D02XAF System of ordinary differential equations, initial value problem, interpolation of solution produced by D02PAF, all components nag/D02XBF System of ordinary differential equations, initial value problem, interpolation of solution produced by D02PAF, one component nag/D02XGF System of ordinary differential equations, initial value problem, interpolation of solution produced by D02QAF or D02QBF, all components nag/D02XHF System of ordinary differential equations, initial value problem, interpolation of solution produced by D02QAF or D02QBF, one component nag/D02XJF System of ordinary differential equations, initial value problem, interpolation of solution produced by D02N- routines, natural interpolant nag/D02XKF System of ordinary differential equations, initial value problem, interpolation of solution produced by D02N- routines, C1 interpolant nag/D02YAF System of ordinary differential equations, initial value problem, Runge-Kutta-Merson method for integration over one step nag/D02ZAF System of ordinary differential equations, initial value problem, for use with D02N- routines, compute weighted norm of local error estimate nag/D03EAF Partial differential equations, elliptic, Laplace's equation in 2-D for an arbitrary domain nag/D03EBF Partial differential equations, elliptic, solution of finite difference equations by Strongly Implicit Procedure, for 5-point 2-D molecule, iterate to convergence nag/D03ECF Partial differential equations, elliptic, solution of finite difference equations by Strongly Implicit Procedure, for 7-point 3-D molecule, iterate to convergence nag/D03EDF Partial differential equations, elliptic, solution of finite difference equations by a multigrid technique nag/D03MAF Triangulation of a plane region nag/D03PAF Partial differential equations, parabolic, one space variable, method of lines, single equation nag/D03PBF Partial differential equations, parabolic, one space variable, method of lines, simple system nag/D03PGF Partial differential equations, parabolic, one space variable, method of lines, general system nag/D03UAF Partial differential equations, elliptic, solution of finite difference equations by Strongly Implicit Procedure, for 5-point 2-D molecule, one iteration nag/D03UBF Partial differential equations, elliptic, solution of finite difference equations by Strongly Implicit Procedure, for 7-point 3-D molecule, one iteration nag/D04AAF Numerical differentiation of a function of one real variable, derivatives up to order 14 nag/D05AAF Linear non-singular Fredholm integral equation, 2nd kind, split kernel nag/D05ABF Linear non-singular Fredholm integral equation, 2nd kind, smooth kernel nag/E01AAF Interpolated values, one variable, data at unequally spaced points, Aitken's technique nag/E01ABF Interpolated values, one variable, data at equally spaced points, Everett's formula nag/E01ACF Interpolated values, two variables, data on rectangular grid, fitting bicubic spline nag/E01AEF Interpolating functions, polynomial interpolant, data may include derivative values nag/E01BAF Interpolating functions, cubic spline interpolant nag/E01RAF Interpolating functions, rational interpolant nag/E01RBF Interpolated values, evaluate rational interpolant computed by E01RAF nag/E02ACF Minimax curve fit by polynomials nag/E02ADF Least-squares curve fit, by polynomials, arbitrary data points nag/E02AEF Evaluation of fitted functions, polynomial in one variable, from Chebyshev series form (simplified parameter list) nag/E02AFF Least-squares curve fit, by polynomials, special data points (including interpolation) nag/E02AGF Least-squares curve fit, by polynomials, arbitrary data points, values and derivatives may be constrained nag/E02AHF Derivative of fitted polynomial in Chebyshev series form nag/E02AJF Integral of fitted polynomial in Chebyshev series form nag/E02AKF Evaluation of fitted functions, polynomial in one variable, from Chebyshev series form nag/E02BAF Least-squares curve fit, by cubic splines (including interpolation) nag/E02BBF Evaluation of fitted functions, cubic spline as computed by E02BAF, function only nag/E02BCF Evaluation of fitted functions, cubic spline as computed by E02BAF, function and derivatives nag/E02BDF Evaluation of fitted functions, cubic spline as computed by E02BAF, definite integral nag/E02CAF Least-squares surface fit, by polynomials, for data on lines nag/E02CBF Evaluation of fitted functions, polynomial in 2 variables as computed by E02CAF nag/E02DAF Least-squares surface fit, by bicubic splines nag/E02DBF Evaluation of fitted functions, bicubic spline as computed by E02DAF nag/E02GAF L(1)-approximation by general linear function nag/E02GBF L(1)-approximation by general linear function subject to linear inequality constraints nag/E02GCF L(infinity)-approximation by general linear function nag/E02RAF Pade-approximants nag/E02RBF Evaluation of fitted functions, rational function as computed by E02RAF nag/E02ZAF Sort 2-D data into panels for fitting or evaluating bicubic splines nag/E04ABF Minimum, function of one variable, using function values only nag/E04BBF Minimum, function of one variable, using first derivative nag/E04CCF Unconstrained minimum, function of several variables, (comprehensive), using function values only, simplex algorithm nag/E04DGF Unconstrained minimum, function of several variables, (comprehensive), using first derivatives, pre-conditioned conjugate gradient algorithm nag/E04DJF Read optional parameter values for E04DGF from external file nag/E04DKF Supply optional parameter values to E04DGF nag/E04FCF Unconstrained minimum of a sum of squares, (comprehensive), using function values only, combined Gauss-Newton and modified Newton algorithm nag/E04FDF Unconstrained minimum of a sum of squares, (easy-to-use), using function values only, combined Gauss-Newton and modified Newton algorithm nag/E04GBF Unconstrained minimum of a sum of squares, (comprehensive), using first derivatives, combined Gauss-Newton and quasi-Newton algorithm nag/E04GCF Unconstrained minimum of a sum of squares, (easy-to-use), using first derivatives, combined Gauss-Newton and quasi-Newton algorithm nag/E04GDF Unconstrained minimum of a sum of squares, (comprehensive), using first derivatives, combined Gauss-Newton and modified Newton algorithm nag/E04GEF Unconstrained minimum of a sum of squares, (easy-to-use), using first derivatives, combined Gauss-Newton and modified Newton algorithm nag/E04HCF Check user's routine for calculating first derivatives of function nag/E04HDF Check user's routine for calculating second derivatives of function nag/E04HEF Unconstrained minimum of a sum of squares, (comprehensive), using second derivatives, combined Gauss-Newton and modified Newton algorithm nag/E04HFF Unconstrained minimum of a sum of squares, (easy-to-use), using second derivatives, combined Gauss-Newton and modified Newton algorithm nag/E04JAF Minimum, function of several variables, simple bounds, (easy-to-use), using function values only, quasi-Newton algorithm nag/E04KAF Minimum, function of several variables, simple bounds, (easy-to-use), using first derivatives, quasi-Newton algorithm nag/E04KCF Minimum, function of several variables, simple bounds, (easy-to-use), using first derivatives, modified Newton algorithm nag/E04KDF Minimum, function of several variables, simple bounds, (comprehensive), using first derivatives, modified Newton algorithm nag/E04LAF Minimum, function of several variables, simple bounds, (easy-to-use), using first and second derivatives, modified Newton algorithm nag/E04LBF Minimum, function of several variables, simple bounds, (comprehensive), using first and second derivatives, modified Newton algorithm nag/E04MBF Linear programming problem (easy-to-use) nag/E04NAF Quadratic programming problem (comprehensive) nag/E04NCF Convex QP problem or linearly-constrained linear least squares problem nag/E04NDF Read optional parameter values for E04NCF from external file nag/E04NEF Supply optional parameter values to E04NCF nag/E04UCF Minimum, function of several variables, non-linear constraints, (comprehensive), using function values and optionally first derivatives, sequential QP method nag/E04UDF Read optional parameter values for E04UCF from external file nag/E04UEF Supply optional parameter values to E04UCF nag/E04VCF Minimum, function of several variables, non-linear constraints, (comprehensive), using first derivatives, sequential QP method nag/E04VDF Minimum, function of several variables, non-linear constraints, (easy-to-use), using first derivatives, sequential QP method nag/E04XAF Estimate gradient and/or Hessian of a function nag/E04YAF Check user's routine for calculating Jacobian of first derivatives nag/E04YBF Check user's routine for calculating Hessian of a sum of squares nag/E04YCF Covariance matrix for non-linear least squares problem nag/E04ZCF Check user's routines for calculating first derivatives of function and constraints nag/F01AAF Real matrix, approximate inverse nag/F01ABF Real symmetric positive-definite matrix, accurate inverse (simplified parameter list) nag/F01ACF Real symmetric positive-definite matrix, accurate inverse nag/F01ADF Real symmetric positive-definite matrix, approximate inverse nag/F01AEF Reduction to standard form, generalised real symmetric eigenproblem, Ax=kBx with B positive-definite nag/F01AFF Backtransformation of eigenvectors from those of reduced forms, real symmetric eigenproblem Ax=kBx or ABx=kx, after reduction to standard nag/F01AGF Reduction by similarity transformations, real symmetric matrix to tridiagonal form, full storage nag/F01AHF Backtransformation of eigenvectors from those of reduced forms, real symmetric matrix, after reduction to tridiagonal, full storage nag/F01AJF Reduction by similarity transformations, real symmetric matrix to tridiagonal form, full storage, accumulating product of transformations nag/F01AKF Reduction by similarity transformations, real matrix to upper Hessenberg form nag/F01ALF Backtransformation of eigenvectors from those of reduced forms, real matrix, after reduction to upper Hessenberg nag/F01AMF Reduction by similarity transformations, complex matrix to upper Hessenberg form nag/F01ANF Backtransformation of eigenvectors from those of reduced forms, complex matrix, after reduction to upper Hessenberg nag/F01APF Reduction by similarity transformations, accumulation of product of transformations generated by F01AKF nag/F01ATF Balancing by diagonal similarity transformations, real matrix nag/F01AUF Backtransformation of eigenvectors from those of reduced forms, real matrix, after balancing nag/F01AVF Balancing by diagonal similarity transformations, complex matrix nag/F01AWF Backtransformation of eigenvectors from those of reduced forms, complex matrix, after balancing nag/F01AXF QR-factorisation, real m x n matrix (m>=n) with column pivoting nag/F01AYF Reduction by similarity transformations, real symmetric matrix to tridiagonal form, packed storage nag/F01AZF Backtransformation of eigenvectors from those of reduced forms, real symmetric matrix, after reduction to tridiagonal, packed storage nag/F01BCF Reduction by similarity transformations, complex Hermitian matrix to real tridiagonal form nag/F01BDF Reduction to standard form, generalised real symmetric eigenproblem, ABx=kx or BAx=kx with B positive-definite nag/F01BEF Backtransformation of eigenvectors from those of reduced forms, real symmetric eigenproblem BAx=kx, after reduction to standard nag/F01BLF Pseudo-inverse and rank of a real m x n matrix (m>=n) nag/F01BNF LL*-factorisation, complex Hermitian positive-definite matrix nag/F01BPF Complex Hermitian positive-definite matrix nag/F01BQF LDL*-factorisation of A+E, with A symmetric and E diagonal, packed storage nag/F01BRF LU-factorisation, real sparse matrix nag/F01BSF LU-factorisation, real sparse matrix with known sparsity pattern nag/F01BTF LU-factorisation, real matrix nag/F01BUF ULDL*U*-factorisation, real symmetric positive-definite band matrix nag/F01BVF Reduction to standard form, generalised real symmetric eigenproblem, Ax=kBx with A and B band matrices and B positive-definite nag/F01BWF Reduction by similarity transformations, real symmetric band matrix to tridiagonal form nag/F01BXF LL*-factorisation, real symmetric positive-definite matrix nag/F01CAF Null matrix initialisation nag/F01CBF Unit matrix initialisation nag/F01CDF Matrix addition nag/F01CEF Matrix subtraction nag/F01CFF Partial matrix copy nag/F01CGF Partial matrix addition nag/F01CHF Partial matrix subtraction nag/F01CKF Matrix multiplication nag/F01CLF Matrix multiplication by transpose nag/F01CMF Matrix copy nag/F01CRF Matrix transposition nag/F01LBF LU-factorisation, real band matrix nag/F01LEF LU-factorisation, real tridiagonal matrix nag/F01LZF Reduction by similarity transformations, real matrix to bidiagonal form nag/F01MAF LL*-factorisation, real sparse symmetric positive-definite matrix nag/F01MCF LDL*-factorisation, real symmetric positive-definite variable-bandwidth matrix nag/F01NAF LU-factorisation, complex band matrix nag/F01QAF QR-factorisation, real m x n matrix (m>=n) nag/F01QBF RQ-factorisation, real m x n matrix (m<=n) nag/F02AAF Real symmetric matrix, (black box), all eigenvalues nag/F02ABF Real symmetric matrix, (black box), all eigenvalues and eigenvectors nag/F02ADF Generalised real symmetric eigenproblem Ax=kBx with B positive-definite, (black box), all eigenvalues nag/F02AEF Generalised real symmetric eigenproblem Ax=kBx with B positive-definite, (black box), all eigenvalues and eigenvectors nag/F02AFF Real matrix, (black box), all eigenvalues nag/F02AGF Real matrix, (black box), all eigenvalues and eigenvectors nag/F02AJF Complex matrix, (black box), all eigenvalues nag/F02AKF Complex matrix, (black box), all eigenvalues and eigenvectors nag/F02AMF Real symmetric matrix, after reduction to tridiagonal form by F01AJF, all eigenvalues and eigenvectors, QL algorithm nag/F02ANF Complex upper Hessenberg matrix, all eigenvalues, LR algorithm nag/F02APF Real upper Hessenberg matrix, all eigenvalues, QR algorithm nag/F02AQF Real matrix, after reduction to upper Hessenberg form by F01AKF & F01APF, all eigenvalues and eigenvectors, QR algorithm nag/F02ARF Complex matrix, after reduction to upper Hessenberg form by F01AMF, all eigenvalues and eigenvectors, LR algorithm nag/F02AVF Real symmetric tridiagonal matrix, all eigenvalues, QL algorithm nag/F02AWF Complex Hermitian matrix, (black box), all eigenvalues nag/F02AXF Complex Hermitian matrix, (black box), all eigenvalues and eigenvectors nag/F02AYF Complex Hermitian matrix, after reduction to real tridiagonal form by F01BCF, all eigenvalues and eigenvectors, QL algorithm nag/F02BBF Real symmetric matrix, (black box), selected eigenvalues and eigenvectors nag/F02BCF Real matrix, (black box), selected eigenvalues and eigenvectors nag/F02BDF Complex matrix, (black box), selected eigenvalues and eigenvectors nag/F02BEF Real symmetric tridiagonal matrix, selected eigenvalues and eigenvectors, bisection and inverse iteration nag/F02BFF Real symmetric tridiagonal matrix, selected eigenvalues, bisection nag/F02BJF Generalised eigenproblem Ax=kBx, QZ algorithm, real matrices, (black box), all eigenvalues and (optionally) eigenvectors nag/F02BKF Real upper Hessenberg matrix, selected eigenvectors, inverse iteration nag/F02BLF Complex upper Hessenberg matrix, selected eigenvectors, inverse iteration nag/F02FHF Generalised banded real symmetric eigenproblem Ax=kBx with B positive-definite, (black box), all eigenvalues nag/F02FJF Sparse symmetric eigenproblems, (black box), selected eigenvalues and eigenvectors nag/F02GJF Generalised eigenproblem Ax=kBx, QZ algorithm, complex matrices, (black box), all eigenvalues and (optionally) eigenvectors nag/F02SDF Generalised real eigenproblem Ax=kBx, with A and B band matrices, eigenvector by inverse iteration nag/F02SZF Singular value decomposition of a real bidiagonal matrix nag/F02WAF Singular value decomposition of a real m x n matrix, singular values and right singular vectors, (m>=n) nag/F02WBF Singular value decomposition of a real m x n matrix, singular values and right singular vectors, (m<=n) nag/F02WCF Singular value decomposition of a real m x n matrix, singular values and left and right singular vectors nag/F02WDF QU-factorisation, possibly followed by singular value decomposition nag/F03AAF Determinant, (black box), real matrix nag/F03ABF Determinant, (black box), real symmetric positive-definite matrix nag/F03ACF Determinant, (black box), real symmetric positive-definite band matrix nag/F03ADF Determinant, (black box), complex matrix nag/F03AEF LL*-factorisation and determinant, real symmetric positive-definite matrix nag/F03AFF LU-factorisation and determinant, real matrix nag/F03AGF LL*-factorisation and determinant, real symmetric positive-definite band matrix nag/F03AHF LU-factorisation and determinant, complex matrix nag/F03AMF Determinant of a complex Hermitian positive-definite matrix, after factorisation by F01BNF nag/F04AAF Simultaneous linear equations, (black box), real matrix, approximate solution, multiple right hand sides nag/F04ABF Simultaneous linear equations, (black box), real symmetric positive-definite matrix, accurate solution, multiple right hand sides nag/F04ACF Simultaneous linear equations, (black box), real symmetric positive-definite band matrix, approximate solution, multiple right hand sides nag/F04ADF Simultaneous linear equations, (black box), complex matrix, approximate solution, multiple right hand sides nag/F04AEF Simultaneous linear equations, (black box), real matrix, accurate solution, multiple right hand sides nag/F04AFF Simultaneous linear equations, (coefficient matrix already factorised), real symmetric positive definite matrix, accurate solution nag/F04AGF Simultaneous linear equations, (coefficient matrix already factorised), real symmetric positive-definite matrix, approximate solution (factorisation by F03AEF) nag/F04AHF Simultaneous linear equations, (coefficient matrix already factorised), real matrix, accurate solution nag/F04AJF Simultaneous linear equations, (coefficient matrix already factorised), real matrix, approximate solution (factorisation by F03AFF) nag/F04AKF Simultaneous linear equations, (coefficient matrix already factorised), complex matrix, approximate solution nag/F04ALF Simultaneous linear equations, (coefficient matrix already factorised), real symmetric positive-definite band matrix, approximate solution nag/F04AMF Least-squares, m real equations in n unknowns, rank =n, m>=n, accurate solution (black box) nag/F04ANF Least-squares, m real equations in n unknowns, rank =n, m>=n, approximate solution (after factorisation by F01AXF) nag/F04AQF Simultaneous linear equations, (coefficient matrix already factorised), real symmetric positive-definite matrix, approximate solution (factorisation by F01BQF) nag/F04ARF Simultaneous linear equations, (black box), real matrix, approximate solution, one right hand side nag/F04ASF Simultaneous linear equations, (black box), real symmetric positive-definite matrix, accurate solution, one right hand side nag/F04ATF Simultaneous linear equations, (black box), real matrix, accurate solution, one right hand side nag/F04AWF Simultaneous linear equations, (coefficient matrix already factorised), complex Hermitian positive-definite matrix, approximate solution nag/F04AXF Simultaneous linear equations, (coefficient matrix already factorised), real sparse matrix, approximate solution nag/F04AYF Simultaneous linear equations, (coefficient matrix already factorised), real matrix, approximate solution (factorisation by F01BTF) nag/F04AZF Simultaneous linear equations, (coefficient matrix already factorised), real symmetric positive-definite matrix, approximate solution (factorisation by F01BXF) nag/F04EAF Simultaneous linear equations, (black box), real tridiagonal matrix, approximate solution, one right hand side nag/F04FAF Simultaneous linear equations, (black box), real symmetric positive-definite tridiagonal matrix, approximate solutions, one right hand side nag/F04JAF Least-squares, m real equations in n unknowns, rank<=n, m>=n, minimal least-squares solution nag/F04JDF Least-squares, m real equations in n unknowns, rank<=n, m<=n, minimal least-squares solution nag/F04JGF Least-squares, m real equations in n unknowns, rank<=n, m>=n, least-squares solution if rank=n, otherwise minimal least-squares solution nag/F04LDF Simultaneous linear equations, (coefficient matrix already factorised), real band matrix, approximate solution nag/F04LEF Simultaneous linear equations, (coefficient matrix already factorised), real tridiagonal matrix, approximate solution nag/F04MAF Simultaneous linear equations, (coefficient matrix already factorised), real sparse symmetric positive-definite matrix nag/F04MBF Simultaneous linear equations, real sparse symmetric matrix nag/F04MCF Simultaneous linear equations, (coefficient matrix already factorised), real symmetric positive-definite variable-bandwidth matrix, approximate solution nag/F04NAF Simultaneous linear equations, (coefficient matrix already factorised), complex band matrix, approximate solution nag/F04QAF Least-squares, m real equations in n unknowns, sparse linear least-squares problem nag/F04YAF Least-squares, m real equations in n unknowns, covariance matrix for linear least-squares problems nag/F05AAF Schmidt orthogonalisation of N vectors of order M nag/F06AAF Generate real plane rotation [SROTG/DROTG] nag/F06BAF Generate real plane rotation, storing tangent nag/F06BCF Recover cosine and sine from given real tangent nag/F06BEF Generate real Jacobi plane rotation nag/F06BHF Apply real similarity rotation to 2-by-2 symmetric matrix nag/F06BLF Compute quotient of two real scalars, with overflow flag nag/F06BMF Compute Euclidean norm from scaled form nag/F06BNF Compute square root of (a*a + b*b), real a and b nag/F06BPF Compute eigenvalue of 2-by-2 real symmetric matrix nag/F06CAF Generate complex plane rotation, storing tangent, real cosine nag/F06CBF Generate complex plane rotation, storing tangent, real sine nag/F06CCF Recover cosine and sine from given complex tangent, real cosine nag/F06CDF Recover cosine and sine from given complex tangent, real sine nag/F06CHF Apply complex similarity rotation to 2-by-2 Hermitian matrix nag/F06CLF Compute quotient of two complex scalars, with overflow flag nag/F06DBF Broadcast scalar into integer vector nag/F06DFF Copy integer vector nag/F06EAF Dot product of two real vectors [SDOT/DDOT] nag/F06ECF Add scalar times real vector to real vector [SAXPY/DAXPY] nag/F06EDF Multiply real vector by scalar [SSCAL/DSCAL] nag/F06EFF Copy real vector [SCOPY/DCOPY] nag/F06EGF Swap two real vectors [SSWAP/DSWAP] nag/F06EJF Compute Euclidean norm of real vector [SNRM2/DNRM2] nag/F06EKF Sum the absolute values of real vector elements [SASUM/DASUM] nag/F06EPF Apply real plane rotation [SROT/DROT] nag/F06FAF Compute cosine of angle between two real vectors nag/F06FBF Broadcast scalar into real vector nag/F06FCF Multiply real vector by diagonal matrix nag/F06FDF Multiply real vector by scalar, preserving input vector nag/F06FGF Negate real vector nag/F06FJF Update Euclidean norm of real vector in scaled form nag/F06FKF Compute weighted Euclidean norm of real vector nag/F06FLF Elements of real vector with largest and smallest absolute value nag/F06FPF Apply real symmetric plane rotation to two vectors nag/F06FQF Generate sequence of real plane rotations nag/F06FRF Generate real elementary reflection, NAG style nag/F06FSF Generate real elementary reflection, LINPACK style nag/F06FTF Apply real elementary reflection, NAG style nag/F06FUF Apply real elementary reflection, LINPACK style nag/F06GAF Dot product of two complex vectors, unconjugated [CDOTU/ZDOTU] nag/F06GBF Dot product of two complex vectors, conjugated [CDOTC/ZDOTC] nag/F06GCF Add scalar times complex vector to complex vector [CAXPY/ZAXPY] nag/F06GDF Multiply complex vector by complex scalar [CSCAL/ZSCAL] nag/F06GFF Copy complex vector [CCOPY/ZCOPY] nag/F06GGF Swap two complex vectors [CSWAP/ZSWAP] nag/F06HBF Broadcast scalar into complex vector nag/F06HCF Multiply complex vector by complex diagonal matrix nag/F06HDF Multiply complex vector by complex scalar, preserving input vector nag/F06HGF Negate complex vector nag/F06HPF Apply complex plane rotation nag/F06HQF Generate sequence of complex plane rotations nag/F06HRF Generate complex elementary reflection nag/F06HTF Apply complex elementary reflection nag/F06JDF Multiply complex vector by real scalar [CSSCAL/ZDSCAL] nag/F06JJF Compute Euclidean norm of complex vector [SCNRM2/DZNRM2] nag/F06JKF Sum the absolute values of complex vector elements [SCASUM/DZASUM] nag/F06JLF Index, real vector element with largest absolute value [ISAMAX/IDAMAX] nag/F06JMF Index, complex vector element with largest absolute value [ICAMAX/IZAMAX] nag/F06KCF Multiply complex vector by real diagonal matrix nag/F06KDF Multiply complex vector by real scalar, preserving input vector nag/F06KFF Copy real vector to complex vector nag/F06KJF Update Euclidean norm of complex vector in scaled form nag/F06KLF Last non-negligible element of real vector nag/F06KPF Apply real plane rotation to two complex vectors nag/F06PAF Matrix-vector product, real general matrix [SGEMV/DGEMV] nag/F06PBF Matrix-vector product, real general band matrix [SGBMV/DGBMV] nag/F06PCF Matrix-vector product, real symmetric matrix [SSYMV/DSYMV] nag/F06PDF Matrix-vector product, real symmetric band matrix [SSBMV/DSBMV] nag/F06PEF Matrix-vector product, real symmetric packed matrix [SSPMV/DSPMV] nag/F06PFF Matrix-vector product, real triangular matrix [STRMV/DTRMV] nag/F06PGF Matrix-vector product, real triangular band matrix [STBMV/DTBMV] nag/F06PHF Matrix-vector product, real triangular packed matrix [STPMV/DTPMV] nag/F06PJF System of equations, real triangular matrix [STRSV/DTRSV] nag/F06PKF System of equations, real triangular band matrix [STBSV/DTBSV] nag/F06PLF System of equations, real triangular packed matrix [STPSV/DTPSV] nag/F06PMF Rank-1 update, real general matrix [SGER/DGER] nag/F06PPF Rank-1 update, real symmetric matrix [SSYR/DSYR] nag/F06PQF Rank-1 update, real symmetric packed matrix [SSPR/DSPR] nag/F06PRF Rank-2 update, real symmetric matrix [SSYR2/DSYR2] nag/F06PSF Rank-2 update, real symmetric packed matrix [SSPR2/DSPR2] nag/F06SAF Matrix-vector product, complex general matrix [CGEMV/ZGEMV] nag/F06SBF Matrix-vector product, complex general band matrix [CGBMV/ZGBMV] nag/F06SCF Matrix-vector product, complex Hermitian matrix [CHEMV/ZHEMV] nag/F06SDF Matrix-vector product, complex Hermitian band matrix [CHBMV/ZHBMV] nag/F06SEF Matrix-vector product, complex Hermitian packed matrix [CHPMV/ZHPMV] nag/F06SFF Matrix-vector product, complex triangular matrix [CTRMV/ZTRMV] nag/F06SGF Matrix-vector product, complex triangular band matrix [CTBMV/ZTBMV] nag/F06SHF Matrix-vector product, complex triangular packed matrix [CTPMV/ZTPMV] nag/F06SJF System of equations, complex triangular matrix [CTRSV/ZTRSV] nag/F06SKF System of equations, complex triangular band matrix [CTBSV/ZTBSV] nag/F06SLF System of equations, complex triangular packed matrix [CTPSV/ZTPSV] nag/F06SMF Rank-1 update, complex general matrix, unconjugated vector [CGERU/ZGERU] nag/F06SNF Rank-1 update, complex general matrix, conjugated vector [CGERC/ZGERC] nag/F06SPF Rank-1 update, complex Hermitian matrix [CHER/ZHER] nag/F06SQF Rank-1 update, complex Hermitian packed matrix [CHPR/ZHPR] nag/F06SRF Rank-2 update, complex Hermitian matrix [CHER2/ZHER2] nag/F06SSF Rank-2 update, complex Hermitian packed matrix [CHPR2/ZHPR2] nag/G01AAF Simple descriptive statistics, 1 variable, from raw data nag/G01ABF Simple descriptive statistics, 2 variables, from raw data nag/G01ADF Simple descriptive statistics, 1 variable, from frequency table nag/G01AEF Frequency table from raw data nag/G01AFF Two-way contingency table analysis nag/G01AGF Lineprinter scatterplot of 2 variables nag/G01AHF Lineprinter scatterplot of 1 variable against Normal scores nag/G01AJF Lineprinter histogram of 1 variable nag/G01BAF Student's t-distribution nag/G01BBF F (variance ratio) distribution nag/G01BCF Chi-square distribution nag/G01BDF Beta distribution of 1st kind nag/G01CAF Inverse Student's t-distribution nag/G01CBF Inverse F (variance ratio) distribution nag/G01CCF Inverse Chi-square distribution nag/G01CDF Inverse Beta distribution of 1st kind nag/G01CEF Inverse Normal distribution nag/G01DAF Normal scores, accurate values nag/G01DBF Normal scores, approximate values nag/G01DCF Normal scores, approximate variance-covariance matrix nag/G01DDF Shapiro and Wilk's W test for Normality nag/G02BAF Pearson product-moment correlation coefficients, all variables, no missing values nag/G02BBF Pearson product-moment correlation coefficients, all variables, casewise treatment of missing values nag/G02BCF Pearson product-moment correlation coefficients, all variables, pairwise treatment of missing values nag/G02BDF "Correlation-like" coefficients (about zero), all variables, no missing values nag/G02BEF "Correlation-like" coefficients (about zero), all variables, casewise treatment of missing values nag/G02BFF "Correlation-like" coefficients (about zero), all variables, pairwise treatment of missing values nag/G02BGF Pearson product-moment correlation coefficients, subset of variables, no missing values nag/G02BHF Pearson product-moment correlation coefficients, subset of variables, casewise treatment of missing values nag/G02BJF Pearson product-moment correlation coefficients, subset of variables, pairwise treatment of missing values nag/G02BKF "Correlation-like" coefficients (about zero), subset of variables, no missing values nag/G02BLF "Correlation-like" coefficients (about zero), subset of variables, casewise treatment of missing values nag/G02BMF "Correlation-like" coefficients (about zero), subset of variables, pairwise treatment of missing values nag/G02BNF Kendall/Spearman non-parametric rank correlation coefficients, no missing values, overwriting input data nag/G02BPF Kendall/Spearman non-parametric rank correlation coefficients, casewise treatment of missing values, overwriting input data nag/G02BQF Kendall/Spearman non-parametric rank correlation coefficients, no missing values, preserving input data nag/G02BRF Kendall/Spearman non-parametric rank correlation coefficients, casewise treatment of missing values, preserving input data nag/G02BSF Kendall/Spearman non-parametric rank correlation coefficients, pairwise treatment of missing values nag/G02CAF Simple linear regression with constant term, no missing values nag/G02CBF Simple linear regression without constant term, no missing values nag/G02CCF Simple linear regression with constant term, missing values nag/G02CDF Simple linear regression without constant term, missing values nag/G02CEF Service routines for multiple linear regression, select elements from vectors and matrices nag/G02CFF Service routines for multiple linear regression, re-order elements of vectors and matrices nag/G02CGF Multiple linear regression, from correlation coefficients, with constant term nag/G02CHF Multiple linear regression, from "correlation-like" coefficients, without constant term nag/G02CJF Multiple linear regression, from original data, several dependent variables nag/G04ADF Three-way analysis of variance, Latin square design nag/G04AEF One-way analysis of variance, subgroups of unequal size nag/G04AFF Two-way analysis of variance, cross-classification, subgroups of equal size nag/G04AGF Two-way analysis of variance, hierarchial classification, subgroups of unequal size nag/G05CAF Pseudo-random real numbers, uniform distribution over (0.0,1.0) nag/G05CBF Initialise random number generating routines, to give a repeatable sequence nag/G05CCF Initialise random number generating routines, to give non-repeatable sequence nag/G05CFF Save state of random number generating routines nag/G05CGF Restore state of random number generating routines nag/G05DAF Pseudo-random real numbers, uniform distribution over (A,B) nag/G05DBF Pseudo-random real numbers, exponential distribution nag/G05DCF Pseudo-random real numbers, logistic distribution nag/G05DDF Pseudo-random real numbers, Normal distribution nag/G05DEF Pseudo-random real numbers, lognormal distribution nag/G05DFF Pseudo-random real numbers, Cauchy distribution nag/G05DGF Pseudo-random real numbers, Gamma distribution nag/G05DHF Pseudo-random real numbers, Chi-square distribution nag/G05DJF Pseudo-random real numbers, Student's t-distribution nag/G05DKF Pseudo-random real numbers, Snedecor's F-distribution nag/G05DLF Pseudo-random real numbers, Beta distribution of the 1st kind nag/G05DMF Pseudo-random real numbers, Beta distribution of the 2nd kind nag/G05DPF Pseudo-random real numbers, Weibull distribution nag/G05DYF Pseudo-random integer from uniform distribution nag/G05DZF Pseudo-random logical value nag/G05EAF Set up reference vector for multivariate Normal distribution nag/G05EBF Set up reference vector for generating pseudo-random integers, uniform distribution nag/G05ECF Set up reference vector for generating pseudo-random integers, Poisson distribution nag/G05EDF Set up reference vector for generating pseudo-random integers, binomial distribution nag/G05EEF Set up reference vector for generating pseudo-random integers, negative binomial distribution nag/G05EFF Set up reference vector for generating pseudo-random integers, hypergeometric distribution nag/G05EGF Set up reference vector for univariate ARMA time-series model nag/G05EHF Pseudo-random permutation of an integer vector nag/G05EJF Pseudo-random sample from an integer vector nag/G05EWF Generate next term from reference vector for ARMA time-series model nag/G05EXF Set up reference vector from supplied cumulative distribution function or probability distribution function nag/G05EYF Pseudo-random integer from reference vector nag/G05EZF Pseudo-random multivariate Normal vector from reference vector nag/G08AAF Sign test on two paired samples nag/G08ABF Wilcoxon matched pairs signed ranks test on two paired samples nag/G08ACF Median test on two samples of unequal size nag/G08ADF Mann-Whitney U-test on two samples of unequal size nag/G08AEF Friedman two-way analysis of variance on k matched samples nag/G08AFF Kruskal-Wallis one-way analysis of variance on k samples of unequal size nag/G08BAF Mood's and David's tests on two samples of unequal size nag/G08CAF Kolmogorov-Smirnov one-sample distribution test nag/G08DAF Kendall's coefficient of concordance nag/G08RAF Regression using ranks, uncensored data nag/G08RBF Regression using ranks, right-censored data nag/G11SAF Contingency table, latent variable model for dichotomous data nag/G11SBF Frequency count for G11SAF nag/G13AAF Univariate time series, seasonal and non-seasonal differencing nag/G13ABF Univariate time series, sample autocorrelation function nag/G13ACF Univariate time series, partial autocorrelations from autocorrelations nag/G13ADF Univariate time series, preliminary estimation, ARIMA model nag/G13AEF Univariate time series, estimation, seasonal ARIMA model (comprehensive) nag/G13AFF Univariate time series, estimation, seasonal ARIMA model (easy-to-use) nag/G13AGF Univariate time series, update state set for forecasting nag/G13AHF Univariate time series, forecasting from state set nag/G13AJF Univariate time series, state set and forecasts, from fully specified seasonal ARIMA model nag/G13BAF Multivariate time series, filtering by an ARIMA model nag/G13BBF Multivariate time series, filtering by a TF model nag/G13BCF Multivariate time series, cross correlations nag/G13BDF Multivariate time series, preliminary estimation, transfer function model nag/G13BEF Multivariate time series, estimation, multi-input model nag/G13BGF Multivariate time series, update state set for forecasting from multi-input model nag/G13BHF Multivariate time series, forecasting from state set of multi-input model nag/G13BJF Multivariate time series, state set and forecasts from fully specified multi-input model nag/G13CAF Univariate time series, smoothed sample spectrum, using rectangular, Bartlett, Tukey or Parzen lag window nag/G13CBF Univariate time series, smoothed sample spectrum, using spectral smoothing by the trapezium frequency (Daniell) window nag/G13CCF Multivariate time series, smoothed sample cross spectrum, using rectangular, Bartlett, Tukey or Parzen lag window nag/G13CDF Multivariate time series, smoothed sample cross spectrum, using spectral smoothing by the trapezium frequency (Daniell) window nag/G13CEF Multivariate time series, cross amplitude spectrum, squared coherency, bounds, univariate and bivariate (cross) spectra nag/G13CFF Multivariate time series, gain, phase, bounds, univariate and bivariate (cross) spectra nag/G13CGF Multivariate time series, noise spectrum, bounds, impulse response function and its standard error nag/G13DAF Multivariate time series, multivariate cross covariance or correlation function nag/G13DBF Multivariate time series, multivariate partial autocorrelation function nag/G13DCF Multivariate time series, estimation, VARMA model nag/H02BAF Integer linear programming, Gomory's method with Wilson's cuts nag/H03ABF Transportation problem nag/J06AAF - Pair of axes for the current data region, automatic annotation nag/J06ABF - Pair of axes for the current data region, user-specifiable annotation nag/J06ACF - Grid for the current data region, automatic annotation nag/J06ADF - Grid for the current data region, user-specifiable annotation nag/J06AEF - Scaled border for the current data region, automatic annotation nag/J06AFF - Scaled border for the current data region, user-specifiable annotation nag/J06AGF - Single axis under user control nag/J06AHF - Plot title, centred at the top of the current data region nag/J06AJF - Axis title, centred at the side or bottom of the current data region nag/J06AKF - Pair of logarithmic axes for the current data region, automatic annotation nag/J06ALF - Logarithmic grid for the current data region, automatic annotation nag/J06AMF - Logarithmic border for the current data region, automatic annotation nag/J06ANF - Single logarithmic axis under user control nag/J06BAF - Plot data points with optional straight lines and markers nag/J06BBF - Linear regression graph using output from G02CAF, G02CBF, G02CCF or G02CDF nag/J06BYF - Key to current NAG pen styles nag/J06BZF - Key to current line styles and/or markers nag/J06CAF - Plot single-valued curve through data points nag/J06CBF - Plot single-valued curve through data points, called point-wise nag/J06CCF - Plot possibly multi-valued curve through data points nag/J06CDF - Plot possibly multi-valued curve through data points, called point-wise nag/J06EAF - Plot user-supplied function over specified range nag/J06EBF - Plot user-supplied function over specified range, called point-wise nag/J06FAF - Plot cubic spline in an interval, from its B-spline representation nag/J06FBF - Plot polynomial represented in Chebyshev f, using output from E02ADF or E02AFF nag/J06GAF - Contour map, (easy-to-use), data on regular rectangular grid nag/J06GBF - Contour map, (comprehensive), data on regular rectangular grid nag/J06GCF - Contour map, (easy-to-use), data on irregular rectangular grid nag/J06GDF - Contour map, (comprehensive), data on irregular rectangular grid nag/J06GEF - Contour map, (easy-to-use), user-supplied function nag/J06GFF - Contour map, (comprehensive), user-supplied function nag/J06GZF - Key to contour plot nag/J06HAF - Isometric surface view, (easy-to-use), data on regular rectangular grid nag/J06HBF - Isometric surface view, (comprehensive) data on regular rectangular grid nag/J06HCF - Perspective surface view, data on regular rectangular grid nag/J06HDF - Perspective surface view, (easy-to-use), data on irregular rectangular grid nag/J06HEF - Perspective surface view, (comprehensive), data on irregular rectangular grid nag/J06HFF - Perspective surface view, sections parallel to either horizontal axis nag/J06HGF - Perspective view of a 3-Dimensional histogram nag/J06HHF - Annotate data points on a perspective surface view, produced by J06HCF, J06HDF, J06HEF or J06HFF nag/J06HJF - Annotate individual data blocks on a 3-Dimensional histogram, as produced by J06HGF nag/J06JAF - Shaded bar chart, vertical, various styles (easy-to-use) nag/J06JBF - Shaded bar chart, vertical, various styles (comprehensive) nag/J06JCF - Shaded bar chart, variable width bars nag/J06JDF - Shaded bar chart, horizontal, various styles (easy-to-use) nag/J06JEF - Shaded bar chart, horizontal, various styles (comprehensive) nag/J06JFF - Shaded block chart, variable width and height blocks nag/J06JGF - Marker diagram, sorts data into bins nag/J06JHF - Marker diagram, subdivision of bins nag/J06JKF - Shaded pie chart, (easy-to-use) nag/J06JLF - Shaded pie chart, (comprehensive) nag/J06JMF - Shaded bar chart, vertical or horizontal, no subdivision of bins (easy-to-use) nag/J06JNF - Frequency distribution diagram, various styles, integer grid input nag/J06JPF - Frequency distribution diagram and scatter plot, various styles, x,y input data nag/J06JYF - Key to numeric values nag/J06JZF - Key to area fill styles nag/M01CAF Sort a vector, real numbers nag/M01CBF Sort a vector, integer numbers nag/M01CCF Sort a vector, character data nag/M01DAF Rank a vector, real numbers nag/M01DBF Rank a vector, integer numbers nag/M01DCF Rank a vector, character data nag/M01DEF Rank rows of a matrix, real numbers nag/M01DFF Rank rows of a matrix, integer numbers nag/M01DJF Rank columns of a matrix, real numbers nag/M01DKF Rank columns of a matrix, integer numbers nag/M01DZF Rank arbitrary data nag/M01EAF Rearrange a vector according to given ranks, real numbers nag/M01EBF Rearrange a vector according to given ranks, integer numbers nag/M01ECF Rearrange a vector according to given ranks, character data nag/M01ZAF Invert a permutation nag/M01ZBF Check validity of a permutation nag/M01ZCF Decompose a permutation into cycles nag/P01ABF Return value of error indicator/terminate with error message nag/S07AAF Tan(x) nag/S09AAF Arcsin(x) nag/S09ABF Arccos(x) nag/S10AAF Tanh(x) nag/S10ABF Sinh(x) nag/S10ACF Cosh(x) nag/S11AAF Arctanh(x) nag/S11ABF Arcsinh(x) nag/S11ACF Arccosh(x) nag/S13AAF Exponential integral, E1(x) nag/S13ACF Cosine integral, Ci(x) nag/S13ADF Sine integral, Si(x) nag/S14AAF Gamma function nag/S14ABF Log Gamma function nag/S15ABF Cumulative normal distribution function, P(x) nag/S15ACF Complement of cumulative normal distribution function, Q(x) nag/S15ADF Complement of error function, erfc(x) nag/S15AEF Error function, erf(x) nag/S15AFF Dawson's integral nag/S17ACF Bessel functions, Y0(x) nag/S17ADF Bessel functions, Y1(x) nag/S17AEF Bessel functions, J0(x) nag/S17AFF Bessel functions, J1(x) nag/S17AGF Airy functions, Ai(x) nag/S17AHF Airy functions, Bi(x) nag/S17AJF Airy functions, Ai'(x) nag/S17AKF Airy functions, Bi'(x) nag/S18ACF Modified Bessel functions, K0(x) nag/S18ADF Modified Bessel functions, K1(x) nag/S18AEF Modified Bessel functions, I0(x) nag/S18AFF Modified Bessel functions, I1(x) nag/S18CCF Modified Bessel functions, exp(x)*K0(x) nag/S18CDF Modified Bessel functions, exp(x)*K1(x) nag/S18CEF Modified Bessel functions, exp(-abs(x))*I0(x) nag/S18CFF Modified Bessel functions, exp(-abs(x))*I1(x) nag/S19AAF Kelvin functions, ber x nag/S19ABF Kelvin functions, bei x nag/S19ACF Kelvin functions, ker x nag/S19ADF Kelvin functions, kei x nag/S20ACF Fresnel integrals, S(x) nag/S20ADF Fresnel integrals, C(x) nag/S21BAF Elliptic integrals, degenerate symmetrised integral of 1st kind, Rc(x,y) nag/S21BBF Elliptic integrals, symmetrised integral of 1st kind, Rf(x,y,z) nag/S21BCF Elliptic integrals, symmetrised integral of 2nd kind, Rd(x,y,z) nag/S21BDF Elliptic integrals, symmetrised integral of 3rd kind, Rj(x,y,z,r) nag/X01AAF Pi nag/X01ABF Euler's constant, Gamma nag/X02AHF Largest permissible argument for SIN and COS nag/X02AJF Derived parameter of floating-point arithmetic model, machine precision nag/X02AKF Derived parameter of floating-point arithmetic model, smallest positive model number nag/X02ALF Derived parameter of floating-point arithmetic model, largest positive model number nag/X02AMF Derived parameter of floating-point arithmetic model, safe range nag/X02BBF Largest representable integer nag/X02BEF Maximum number of decimal digits that can be represented nag/X02BHF Parameter of floating-point arithmetic model, B nag/X02BJF Parameter of floating-point arithmetic model, P nag/X02BKF Parameter of floating-point arithmetic model, EMIN nag/X02BLF Parameter of floating-point arithmetic model, EMAX nag/X02CAF Estimate of active-set size (for paged virtual store machines) nag/X02DAF Switch for taking precautions to avoid underflow nag/X02DJF Parameter of floating-point arithmetic model, ROUNDS nag/X03AAF Real innerproduct added to initial value, basic/additional precision nag/X03ABF Complex innerproduct added to initial value, basic/additional precision nag/X04AAF Return or set unit number for error messages nag/X04ABF Return or set unit number for advisory messages nag/X04BAF Write formatted record to external file nag/X04BBF Read formatted record from external file