L Index Page
Keyword Index for the NAG Library Manual
NAG Library Manual

Keyword : Linear

D02GBF   Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general linear problem
D02JAF   Ordinary differential equations, boundary value problem, collocation and least squares, single nth-order linear equation
D02JBF   Ordinary differential equations, boundary value problem, collocation and least squares, system of first-order linear equations
D02NSF   Ordinary differential equations, initial value problem, for use with D02M–N routines, full Jacobian, linear algebra set up
D02NTF   Ordinary differential equations, initial value problem, for use with D02M–N routines, banded Jacobian, linear algebra set up
D02NUF   Ordinary differential equations, initial value problem, for use with D02M–N routines, sparse Jacobian, linear algebra set up
D02NXF   Ordinary differential equations, initial value problem, sparse Jacobian, linear algebra diagnostics, for use with D02M–N routines
D02TGF   nth-order linear ordinary differential equations, boundary value problem, collocation and least squares
D05AAF   Linear nonsingular Fredholm integral equation, second kind, split kernel
D05ABF   Linear nonsingular Fredholm integral equation, second kind, smooth kernel
E02GAF   L1-approximation by general linear function
E02GBF   L1-approximation by general linear function subject to linear inequality constraints
E02GCF   L-approximation by general linear function
E04NCF   Convex QP problem or linearly-constrained linear least squares problem (dense)
E04PCF   Computes the least squares solution to a set of linear equations subject to fixed upper and lower bounds on the variables. An option is provided to return a minimal length solution if a solution is not unique
F04ABF   Solution of real symmetric positive definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box)
F04AEF   Solution of real simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box)
F04ASF   Solution of real symmetric positive definite simultaneous linear equations, one right-hand side using iterative refinement (Black Box)
F04ATF   Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black Box)
F04AXF   Solution of real sparse simultaneous linear equations (coefficient matrix already factorized)
F04BAF   Computes the solution and error-bound to a real system of linear equations
F04BBF   Computes the solution and error-bound to a real banded system of linear equations
F04BCF   Computes the solution and error-bound to a real tridiagonal system of linear equations
F04BDF   Computes the solution and error-bound to a real symmetric positive definite system of linear equations
F04BEF   Computes the solution and error-bound to a real symmetric positive definite system of linear equations, packed storage
F04BFF   Computes the solution and error-bound to a real symmetric positive definite banded system of linear equations
F04BGF   Computes the solution and error-bound to a real symmetric positive definite tridiagonal system of linear equations
F04BHF   Computes the solution and error-bound to a real symmetric system of linear equations
F04BJF   Computes the solution and error-bound to a real symmetric system of linear equations, packed storage
F04CAF   Computes the solution and error-bound to a complex system of linear equations
F04CBF   Computes the solution and error-bound to a complex banded system of linear equations
F04CCF   Computes the solution and error-bound to a complex tridiagonal system of linear equations
F04CDF   Computes the solution and error-bound to a complex Hermitian positive definite system of linear equations
F04CEF   Computes the solution and error-bound to a complex Hermitian positive definite system of linear equations, packed storage
F04CFF   Computes the solution and error-bound to a complex Hermitian positive definite banded system of linear equations
F04CGF   Computes the solution and error-bound to a complex Hermitian positive definite tridiagonal system of linear equations
F04CHF   Computes the solution and error-bound to a complex Hermitian system of linear equations
F04CJF   Computes the solution and error-bound to a complex Hermitian system of linear equations, packed storage
F04DHF   Computes the solution and error-bound to a complex symmetric system of linear equations
F04DJF   Computes the solution and error-bound to a complex symmetric system of linear equations, packed storage
F04LEF   Solution of real tridiagonal simultaneous linear equations (coefficient matrix already factorized by F01LEF)
F04LHF   Solution of real almost block diagonal simultaneous linear equations (coefficient matrix already factorized by F01LHF)
F04MCF   Solution of real symmetric positive definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF)
F04QAF   Sparse linear least squares problem, m real equations in n unknowns
F04YAF   Covariance matrix for linear least squares problems, m real equations in n unknowns
F07AAF   Computes the solution to a real system of linear equations
F07ABF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations
F07ACF   Mixed precision real system solver
F07AEF   Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by F07ADF
F07AHF   Refined solution with error bounds of real system of linear equations, multiple right-hand sides
F07ANF   Computes the solution to a complex system of linear equations
F07APF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations
F07AQF   Mixed precision complex system solver
F07ASF   Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by F07ARF
F07AVF   Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
F07BAF   Computes the solution to a real banded system of linear equations
F07BBF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations
F07BEF   Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by F07BDF
F07BHF   Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
F07BNF   Computes the solution to a complex banded system of linear equations
F07BPF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
F07BSF   Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by F07BRF
F07BVF   Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
F07CAF   Computes the solution to a real tridiagonal system of linear equations
F07CBF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations
F07CEF   Solves a real tridiagonal system of linear equations using the LU factorization computed by F07CDF
F07CHF   Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides
F07CNF   Computes the solution to a complex tridiagonal system of linear equations
F07CPF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations
F07CSF   Solves a complex tridiagonal system of linear equations using the LU factorization computed by F07CDF
F07CVF   Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides
F07FAF   Computes the solution to a real symmetric positive definite system of linear equations
F07FBF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations
F07FCF   Uses the Cholesky factorization to compute the solution for a real symmetric positive definite system of linear equations
F07FEF   Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FDF
F07FHF   Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides
F07FNF   Computes the solution to a complex Hermitian positive definite system of linear equations
F07FPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations
F07FQF   Uses the Cholesky factorization to compute the solution for a complex Hermitian positive definite system of linear equations
F07FSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FRF
F07FVF   Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides
F07GAF   Computes the solution to a real symmetric positive definite system of linear equations, packed storage
F07GBF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations, packed storage
F07GEF   Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GDF, packed storage
F07GHF   Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage
F07GNF   Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage
F07GPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations, packed storage
F07GSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GRF, packed storage
F07GVF   Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage
F07HAF   Computes the solution to a real symmetric positive definite banded system of linear equations
F07HBF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations
F07HEF   Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HDF
F07HHF   Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides
F07HNF   Computes the solution to a complex Hermitian positive definite banded system of linear equations
F07HPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations
F07HSF   Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HRF
F07HVF   Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides
F07JAF   Computes the solution to a real symmetric positive definite tridiagonal system of linear equations
F07JBF   Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations
F07JHF   Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides
F07JNF   Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
F07JPF   Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations
F07JVF   Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides
F07MAF   Computes the solution to a real symmetric system of linear equations
F07MBF   Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations
F07MEF   Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MDF
F07MHF   Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
F07MNF   Computes the solution to a complex Hermitian system of linear equations
F07MPF   Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
F07MSF   Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MRF
F07MVF   Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
F07NNF   Computes the solution to a complex symmetric system of linear equations
F07NPF   Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
F07NSF   Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07NRF
F07NVF   Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
F07PAF   Computes the solution to a real symmetric system of linear equations, packed storage
F07PBF   Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage
F07PEF   Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PDF, packed storage
F07PHF   Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
F07PNF   Computes the solution to a complex Hermitian system of linear equations, packed storage
F07PPF   Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage
F07PSF   Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PRF, packed storage
F07PVF   Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
F07QNF   Computes the solution to a complex symmetric system of linear equations, packed storage
F07QPF   Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage
F07QSF   Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07QRF, packed storage
F07QVF   Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
F07TEF   Solution of real triangular system of linear equations, multiple right-hand sides
F07THF   Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
F07TSF   Solution of complex triangular system of linear equations, multiple right-hand sides
F07TVF   Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
F07UEF   Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
F07UHF   Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
F07USF   Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
F07UVF   Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
F07VEF   Solution of real band triangular system of linear equations, multiple right-hand sides
F07VHF   Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
F07VSF   Solution of complex band triangular system of linear equations, multiple right-hand sides
F07VVF   Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides
F07WEF   Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by F07WDF, Rectangular Full Packed format
F07WSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by F07WRF, Rectangular Full Packed format
F11BDF   Real sparse nonsymmetric linear systems, setup for F11BEF
F11BEF   Real sparse nonsymmetric linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method
F11BFF   Real sparse nonsymmetric linear systems, diagnostic for F11BEF
F11BRF   Complex sparse non-Hermitian linear systems, setup for F11BSF
F11BSF   Complex sparse non-Hermitian linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method
F11BTF   Complex sparse non-Hermitian linear systems, diagnostic for F11BSF
F11DAF   Real sparse nonsymmetric linear systems, incomplete LU factorization
F11DBF   Solution of linear system involving incomplete LU preconditioning matrix generated by F11DAF
F11DCF   Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by F11DAF
F11DDF   Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse nonsymmetric matrix
F11DEF   Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB, or TFQMR method, Jacobi or SSOR preconditioner (Black Box)
F11DFF   Real sparse nonsymmetric linear system, incomplete LU factorization of local or overlapping diagonal blocks
F11DGF   Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete LU block diagonal preconditioner computed by F11DFF
F11DKF   Real sparse nonsymmetric linear systems, line Jacobi preconditioner
F11DNF   Complex sparse non-Hermitian linear systems, incomplete LU factorization
F11DPF   Solution of complex linear system involving incomplete LU preconditioning matrix generated by F11DNF
F11DQF   Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by F11DNF (Black Box)
F11DRF   Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse non-Hermitian matrix
F11DSF   Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, Jacobi or SSOR preconditioner Black Box
F11DUF   Solution of complex sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete LU block diagonal preconditioner computed by F11DTF
F11DXF   Complex sparse nonsymmetric linear systems, line Jacobi preconditioner
F11GDF   Real sparse symmetric linear systems, setup for F11GEF
F11GEF   Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos method or the MINRES algorithm
F11GFF   Real sparse symmetric linear systems, diagnostic for F11GEF
F11GRF   Complex sparse Hermitian linear systems, setup for F11GSF
F11GSF   Complex sparse Hermitian linear systems, preconditioned conjugate gradient or Lanczos
F11GTF   Complex sparse Hermitian linear systems, diagnostic for F11GSF
F11JBF   Solution of linear system involving incomplete Cholesky preconditioning matrix generated by F11JAF
F11JCF   Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JAF (Black Box)
F11JDF   Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix
F11JEF   Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box)
F11JPF   Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by F11JNF
F11JQF   Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JNF (Black Box)
F11JRF   Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse Hermitian matrix
F11JSF   Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box)
F11MDF   Real sparse nonsymmetric linear systems, setup for F11MEF
F11MFF   Solution of real sparse simultaneous linear equations (coefficient matrix already factorized)
F11MHF   Refined solution with error bounds of real system of linear equations, multiple right-hand sides
F11MMF   Real sparse nonsymmetric linear systems, diagnostic for F11MEF
G01JCF   Computes probability for a positive linear combination of χ2 variables
G01JDF   Computes lower tail probability for a linear combination of (central) χ2 variables
G02CAF   Simple linear regression with constant term, no missing values
G02CBF   Simple linear regression without constant term, no missing values
G02CCF   Simple linear regression with constant term, missing values
G02CDF   Simple linear regression without constant term, missing values
G02CEF   Service routine for multiple linear regression, select elements from vectors and matrices
G02CFF   Service routine for multiple linear regression, re-order elements of vectors and matrices
G02CGF   Multiple linear regression, from correlation coefficients, with constant term
G02CHF   Multiple linear regression, from correlation-like coefficients, without constant term
G02DAF   Fits a general (multiple) linear regression model
G02DCF   Add/delete an observation to/from a general linear regression model
G02DDF   Estimates of linear parameters and general linear regression model from updated model
G02DEF   Add a new independent variable to a general linear regression model
G02DFF   Delete an independent variable from a general linear regression model
G02DGF   Fits a general linear regression model to new dependent variable
G02DKF   Estimates and standard errors of parameters of a general linear regression model for given constraints
G02DNF   Computes estimable function of a general linear regression model and its standard error
G02EAF   Computes residual sums of squares for all possible linear regressions for a set of independent variables
G02EEF   Fits a linear regression model by forward selection
G02EFF   Stepwise linear regression
G02GAF   Fits a generalized linear model with Normal errors
G02GBF   Fits a generalized linear model with binomial errors
G02GCF   Fits a generalized linear model with Poisson errors
G02GDF   Fits a generalized linear model with gamma errors
G02GKF   Estimates and standard errors of parameters of a general linear model for given constraints
G02GNF   Computes estimable function of a generalized linear model and its standard error
G02GPF   Computes a predicted value and its associated standard error based on a previously fitted generalized linear model
G02JAF   Linear mixed effects regression using Restricted Maximum Likelihood (REML)
G02JBF   Linear mixed effects regression using Maximum Likelihood (ML)
G02QFF   Linear quantile regression, simple interface, independent, identically distributed (IID) errors
G02QGF   Linear quantile regression, comprehensive interface

L Index Page
Keyword Index for the NAG Library Manual
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford UK. 2013