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Class D2a1 ... Solution of systems of linear equations, including matrix inverses, and LU and related factorizations (general real nonsymmetric matrices)

Modules for class D2a1

Package C at NETLIB

SGE A C version of the LINPACK routines SGECO (estimation of matrix condition number ...

Package C++ at NETLIB

LIN_ALG C++ classes and procedures for numerical mathematics. Includes matrix and vector ...

Package CEPHES at NETLIB

LINALG C routines for performing matrix operations, solving linear systems, finding eig ...

Package CLAPACK at NETLIB

DGECON.C (SGECON.C) Estimates the reciprocal of the condition number of a general matrix, in either ...
DGEEQU.C (SGEEQU.C) Computes row and column scalings to equilibrate a general rectangular matrix and ...
DGERFS.C (SGERFS.C) Improves the computed solution to a real general system of linear equations AX=B ...
DGESV.C (SGESV.C) Solves a real general system of linear equations AX=B. (Simple driver.). [C vers ...
DGESVX.C (SGESVX.C) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, and ...
DGETRF.C (SGETRF.C) Computes an LU factorization of a real general matrix, using partial pivoting wi ...
DGETRI.C (SGETRI.C) Computes the inverse of a real general matrix, using the LU factorization comput ...
DGETRS.C (SGETRS.C) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, usi ...
SGECON.C (DGECON.C) Estimates the reciprocal of the condition number of a general matrix, in either ...
SGEEQU.C (DGEEQU.C) Computes row and column scalings to equilibrate a general rectangular matrix and ...
SGERFS.C (DGERFS.C) Improves the computed solution to a real general system of linear equations AX=B ...
SGESV.C (DGESV.C) Solves a real general system of linear equations AX=B. (Simple driver.). [C vers ...
SGESVX.C (DGESVX.C) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, and ...
SGETRF.C (DGETRF.C) Computes an LU factorization of a real general matrix, using partial pivoting wi ...
SGETRI.C (DGETRI.C) Computes the inverse of a real general matrix, using the LU factorization comput ...
SGETRS.C (DGETRS.C) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, usi ...

Package CMLIB at ITL|ARNO

DGECO (SGECO) Compute LU factorization of general double precision matrix and estimate its con ...
DGEDI (SGEDI) Uses LU factorization of general double precision matrix to compute its determin ...
DGEFA (SGEFA) Compute LU factorization of general double precision matrix.
DGEFS (SGEFS) Factors and solves a general n-by-n double precision system of linear equations.
DGESL (SGESL) Uses LU factorization of general double precision matrix to solve systems.
DQRSL (SQRSL) Applies the output of DQRDC to compute coordinate transformations, projections, ...
SGECO (DGECO) Computes LU factorization of real general matrix and estimates its condition.
SGEDI (DGEDI) Uses LU factorization of real general matrix to compute its determinant and/or i ...
SGEFA (DGEFA) Computes LU factorization of real general matrix.
SGEFS (DGEFS) Factors and solves a general n-by-n single precision system of linear equations.
SGEIR Factors and solves a general single precision system of linear equations and est ...
SGESL (DGESL) Uses LU factorization of real general matrix to solve systems.
SQRSL (DQRSL) Applies the output of SQRDC to compute coordinate transformations, projections, ...

Package IMSLM at ITL

DLFCRG (LFCRG) Compute the LU factorization of a real general matrix and estimate its L1 condit ...
DLFIRG (LFIRG) Use iterative refinement to improve the solution of a real general system of lin ...
DLFSRG (LFSRG) Solve a real general system of linear equations given the LU factorization of th ...
DLFTRG (LFTRG) Compute the LU factorization of a real general matrix.
DLINRG (LINRG) Compute the inverse of a real general matrix.
DLSARG (LSARG) Solve a real general system of linear equations with iterative refinement.
DLSLRG (LSLRG) Solve a real general system of linear equations without iterative refinement.
LFCRG (DLFCRG) Compute the LU factorization of a real general matrix and estimate its L1 condit ...
LFIRG (DLFIRG) Use iterative refinement to improve the solution of a real general system of lin ...
LFSRG (DLFSRG) Solve a real general system of linear equations given the LU factorization of th ...
LFTRG (DLFTRG) Compute the LU factorization of a real general matrix.
LINRG (DLINRG) Compute the inverse of a real general matrix.
LSARG (DLSARG) Solve a real general system of linear equations with iterative refinement.
LSLRG (DLSLRG) Solve a real general system of linear equations without iterative refinement.

Package IMSLS at ITL

DLFSRG (LFSRG) Solve a real general system of linear equations given the LU factorization of th ...
DLFTRG (LFTRG) Compute the LU factorization of a real general matrix.
DLINRG (LINRG) Compute the inverse of a real general matrix.
DLSLRG (LSLRG) Solve a real general system of linear equations without iterative refinement.
LFSRG (DLFSRG) Solve a real general system of linear equations given the LU factorization of th ...
LFTRG (DLFTRG) Compute the LU factorization of a real general matrix.
LINRG (DLINRG) Compute the inverse of a real general matrix.
LSLRG (DLSLRG) Solve a real general system of linear equations without iterative refinement.

Package LAPACK at NETLIB|ITL|ARNO

DGECON (SGECON) Estimates the reciprocal of the condition number of a general matrix, in either ...
DGEEQU (SGEEQU) Computes row and column scalings to equilibrate a general rectangular matrix and ...
DGERFS (SGERFS) Improves the computed solution to a real general system of linear equations AX=B ...
DGESV (SGESV) Solves a real general system of linear equations AX=B. (Simple driver.).
DGESVX (SGESVX) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, and ...
DGETRF (SGETRF) Computes an LU factorization of a real general matrix, using partial pivoting wi ...
DGETRI (SGETRI) Computes the inverse of a real general matrix, using the LU factorization comput ...
DGETRS (SGETRS) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, usi ...
SGECON (DGECON) Estimates the reciprocal of the condition number of a general matrix, in either ...
SGEEQU (DGEEQU) Computes row and column scalings to equilibrate a general rectangular matrix and ...
SGERFS (DGERFS) Improves the computed solution to a real general system of linear equations AX=B ...
SGESV (DGESV) Solves a real general system of linear equations AX=B. (Simple driver.).
SGESVX (DGESVX) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, and ...
SGETRF (DGETRF) Computes an LU factorization of a real general matrix, using partial pivoting wi ...
SGETRI (DGETRI) Computes the inverse of a real general matrix, using the LU factorization comput ...
SGETRS (DGETRS) Solves a real general system of linear equations AX=B, A**T X=B or A**H X=B, usi ...

Package LINALG at NETLIB

BINARY-LU Performs LU decomposition of a binary matrix in binary arithmetic. (Developed by ...
CG Distributed Iterative Linear System Solvers using PVM. Solves large sparse symme ...
LALQMR Computes eigenvalues of matrices using a version of the look-ahead Lanczos algor ...
LINPACKC++ A C++ interface to LINPACK routines SGECO, SGEFA, SGESL, and SGEDI. (Developed b ...
SGEFAC A C translation of the Fortran LINPACK routines SGEFA and SGESL for solving syst ...

Package LINPACK at NETLIB|ARNO

DGECO (SGECO) Compute LU factorization of general double precision matrix and estimate its con ...
DGEDI (SGEDI) Uses LU factorization of general double precision matrix to compute its determin ...
DGEFA (SGEFA) Compute LU factorization of general double precision matrix.
DGESL (SGESL) Uses LU factorization of general double precision matrix to solve systems.
DQRSL (SQRSL) Applies the output of DQRDC to compute coordinate transformations, projections, ...
SGECO (DGECO) Computes LU factorization of real general matrix and estimates its condition.
SGEDI (DGEDI) Uses LU factorization of real general matrix to compute its determinant and/or i ...
SGEFA (DGEFA) Computes LU factorization of real general matrix.
SGESL (DGESL) Uses LU factorization of real general matrix to solve systems.
SQRSL (DQRSL) Applies the output of SQRDC to compute coordinate transformations, projections, ...

Package NAG at ITL|AIX

F03AFF Decomposes a real matrix into triangular factor matrices LU by Crout's method an ...
F04AAF Calculates the approximate solution of a set of real linear equations with multi ...
F04AEF Calculates the accurate solution of a set of real linear equations with multiple ...
F04AHF Calculates the accurate solution of a set of real linear equations with multiple ...
F04AJF Calculates the approximate solution of a set of real linear equations with multi ...
F04ARF Calculates the approximate solution of a set of real linear equations with a sin ...
F04ATF Calculates the accurate solution of a set of real linear equations with a single ...
F07ADF (SGETRF/DGETRF) computes the LU factorization of a real m by n matrix.
F07AEF (SGETRS/DGETRS) solves a real system of linear equations with multiple right-han ...
F07AGF (SGECON/DGECON) estimates the condition number of a real matrix A, where A has b ...
F07AHF (SGERFS/DGERFS) returns error bounds for the solution of a real system of linear ...
F07AJF (SGETRI/DGETRI) computes the inverse of a real matrix A, where A has been factor ...

Package NAGC at ITL

NAG_REAL_LIN_EQN Calculates the approximate solution of a set of real linear equations with a sin ...
NAG_REAL_LU Computes an LU factorization of a real matrix, with partial pivoting, and evalua ...
NAG_REAL_LU_SOLVE_MULT_RHS Calculates the approximate solution of a set of real linear equations with multi ...

Package NAPACK at NETLIB

CON Estimates the 1-norm condition number of a matrix. The matrix must first be fact ...
EFACT Factors an upper Hessenberg matrix using partial pivoting.
ESOLVE Solves a system of linear equations, where the coefficient matrix is upper Hesse ...
ETRANS Solves the transpose of a factored system, for an upper Hessenberg matrix. The m ...
EVERT Inverts an upper Hessenberg matrix.
FACT Factors a matrix using partial pivoting.
KCON Estimates the 1-norm condition number of a matrix. The matrix must first be fact ...
KFACT Factors a matrix using complete pivoting.
KSOLVE Solves a system of linear equations. The coefficient matrix must first be factor ...
KTRANS Solves the transpose of a factored system. The matrix must first be factored usi ...
KVERT Inverts a matrix, with complete pivoting.
SOLVE Solves a system of linear equations. The coefficient matrix must first be factor ...
TRANS Solves the transpose of a factored system. The matrix must first be factored usi ...
VERT Inverts a matrix.

Package NASHLIB at ITL

A5A6 Perform Gaussian elimination with partial pivoting on a general system of linear ...

Package NMS at ITL

DGEFS (SGEFS) Solves n-by-n system AX=B; returns the solutions in B, the number of correct dig ...
SGEFS (DGEFS) Solves n-by-n system AX=B; returns the solutions in B, the number of correct dig ...

Package SCRUNCH at ITL

DECOMP Decomposes a matrix using Gaussian elimination into a lower and upper triangular ...

Package SLATEC at ITL|ARNO

DGECO (SGECO) Factor a matrix using Gaussian elimination and estimate the condition number of ...
DGEDI (SGEDI) Compute the determinant and inverse of a matrix using the factors computed by DG ...
DGEFA (SGEFA) Factor a matrix using Gaussian elimination.
DGEFS (SGEFS) Solve a general system of linear equations.
DGESL (SGESL) Solve the real system A*X=B or TRANS(A)*X=B using the factors computed by DGECO ...
DQRSL (SQRSL) Apply the output of DQRDC to compute coordinate transformations, projections, an ...
SGECO (DGECO) Factor a matrix using Gaussian elimination and estimate the condition number of ...
SGEDI (DGEDI) Compute the determinant and inverse of a matrix using the factors computed by SG ...
SGEFA (DGEFA) Factor a matrix using Gaussian elimination.
SGEFS (DGEFS) Solve a general system of linear equations.
SGEIR Solve a general system of linear equations. Iterative refinement is used to obta ...
SGESL (DGESL) Solve the real system A*X=B or TRANS(A)*X=B using the factors of SGECO or SGEFA.
SQRSL (DQRSL) Apply the output of SQRDC to compute coordinate transformations, projections, an ...

Package TOMS at NETLIB

522 ESOLVE: a Fortran subroutines for the exact solution of systems of linear equati ...
576 MODGE and REFINE: Fortran subroutines for solving an n-by-n system of (possibly ...
578 Fortran subroutines for solving real linear equations in a paged virtual store. ...
641 EXSOLG: a Fortran subprogram for the exact solution of general (m-by-n) systems ...

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This page was generated on Tue Sep 16, 2008 at 12:27:58 UTC