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 $n$ th-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	$n$ th-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	$L_{1}$ -approximation by general linear function
E02GBF	$L_{1}$ -approximation by general linear function subject to linear inequality constraints
E02GCF	$L_{\infty}$ -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 $L U$ 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 $L U$ 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 $L U$ 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 $L U$ 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 $L U$ 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 $L U$ 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 $L U$ 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 $L U$ 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 $L U$ factorization
F11DBF	Solution of linear system involving incomplete $L U$ 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 $L U$ factorization of local or overlapping diagonal blocks
F11DGF	Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, incomplete $L U$ block diagonal preconditioner computed by F11DFF
F11DKF	Real sparse nonsymmetric linear systems, line Jacobi preconditioner
F11DNF	Complex sparse non-Hermitian linear systems, incomplete $L U$ factorization
F11DPF	Solution of complex linear system involving incomplete $L U$ 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 $L U$ 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 $χ^{2}$ variables
G01JDF	Computes lower tail probability for a linear combination of (central) $χ^{2}$ 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