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