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Class D2b2 ... Solution of systems of linear equations, including matrix inverses, and LU and related factorizations (real symmetric positive definite banded matrices)

Subclasses

D2b2a

Tridiagonal

Modules for class D2b2

Package CLAPACK at NETLIB

DPBCON.C (SPBCON.C) Estimates the reciprocal of the condition number of a real symmetric positive de ...
DPBEQU.C (SPBEQU.C) Computes row and column scalings to equilibrate a real symmetric positive defini ...
DPBRFS.C (SPBRFS.C) Improves the computed solution to a real symmetric positive definite banded syst ...
DPBSV.C (SPBSV.C) Solves a real symmetric positive definite banded system of linear equations AX=B ...
DPBSVX.C (SPBSVX.C) Solves a real symmetric positive definite banded system of linear equations AX=B ...
DPBTRF.C (SPBTRF.C) Computes the Cholesky factorization of a real symmetric positive definite band m ...
DPBTRS.C (SPBTRS.C) Solves a real symmetric positive definite banded system of linear equations AX=B ...
SPBCON.C (DPBCON.C) Estimates the reciprocal of the condition number of a real symmetric positive de ...
SPBEQU.C (DPBEQU.C) Computes row and column scalings to equilibrate a real symmetric positive defini ...
SPBRFS.C (DPBRFS.C) Improves the computed solution to a real symmetric positive definite banded syst ...
SPBSV.C (DPBSV.C) Solves a real symmetric positive definite banded system of linear equations AX=B ...
SPBSVX.C (DPBSVX.C) Solves a real symmetric positive definite banded system of linear equations AX=B ...
SPBTRF.C (DPBTRF.C) Computes the Cholesky factorization of a real symmetric positive definite band m ...
SPBTRS.C (DPBTRS.C) Solves a real symmetric positive definite banded system of linear equations AX=B ...

Package CMLIB at ITL|ARNO

DPBCO (SPBCO) Compute LU factorization of double precision positive definite band matrix and e ...
DPBFA (SPBFA) Computes LU factorization of double precision positive definite band matrix.
DPBSL (SPBSL) Uses LU factorization of double precision positive definite band matrix to solve ...
SPBCO (DPBCO) Uses Cholesky algorithm to compute factorization of real positive definite band ...
SPBFA (DPBFA) Uses Cholesky algorithm to compute factorization of real positive definite band ...
SPBSL (DPBSL) Uses factorization of real positive definite band matrix to solve systems.

Package IMSLM at ITL

DLFCQS (LFCQS) Compute the Cholesky factorization of a real symmetric positive definite matrix ...
DLFDQS (LFDQS) Compute the determinant of a real symmetric positive definite matrix in band sym ...
DLFIQS (LFIQS) Use iterative refinement to improve the solution of a real symmetric positive de ...
DLFSQS (LFSQS) Solve a real symmetric positive definite system of linear equations given the fa ...
DLFTQS (LFTQS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
DLSAQS (LSAQS) Solve a real symmetric positive definite system of linear equations in band symm ...
DLSLPB (LSLPB) Compute the trans(R)*D*R Cholesky factorization of a real symmetric positive def ...
DLSLQS (LSLQS) Solve a real symmetric positive definite system of linear equations in band symm ...
LFCQS (DLFCQS) Compute the Cholesky factorization of a real symmetric positive definite matrix ...
LFDQS (DLFDQS) Compute the determinant of a real symmetric positive definite matrix in band sym ...
LFIQS (DLFIQS) Use iterative refinement to improve the solution of a real symmetric positive de ...
LFSQS (DLFSQS) Solve a real symmetric positive definite system of linear equations given the fa ...
LFTQS (DLFTQS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
LSAQS (DLSAQS) Solve a real symmetric positive definite system of linear equations in band symm ...
LSLPB (DLSLPB) Compute the trans(R)*D*R Cholesky factorization of a real symmetric positive def ...
LSLQS (DLSLQS) Solve a real symmetric positive definite system of linear equations in band symm ...

Package LAPACK at NETLIB|ITL|ARNO

DPBCON (SPBCON) Estimates the reciprocal of the condition number of a real symmetric positive de ...
DPBEQU (SPBEQU) Computes row and column scalings to equilibrate a real symmetric positive defini ...
DPBRFS (SPBRFS) Improves the computed solution to a real symmetric positive definite banded syst ...
DPBSV (SPBSV) Solves a real symmetric positive definite banded system of linear equations AX=B ...
DPBSVX (SPBSVX) Solves a real symmetric positive definite banded system of linear equations AX=B ...
DPBTRF (SPBTRF) Computes the Cholesky factorization of a real symmetric positive definite band m ...
DPBTRS (SPBTRS) Solves a real symmetric positive definite banded system of linear equations AX=B ...
SPBCON (DPBCON) Estimates the reciprocal of the condition number of a real symmetric positive de ...
SPBEQU (DPBEQU) Computes row and column scalings to equilibrate a real symmetric positive defini ...
SPBRFS (DPBRFS) Improves the computed solution to a real symmetric positive definite banded syst ...
SPBSV (DPBSV) Solves a real symmetric positive definite banded system of linear equations AX=B ...
SPBSVX (DPBSVX) Solves a real symmetric positive definite banded system of linear equations AX=B ...
SPBTRF (DPBTRF) Computes the Cholesky factorization of a real symmetric positive definite band m ...
SPBTRS (DPBTRS) Solves a real symmetric positive definite banded system of linear equations AX=B ...

Package LINPACK at NETLIB|ARNO

DPBCO (SPBCO) Compute LU factorization of double precision positive definite band matrix and e ...
DPBFA (SPBFA) Computes LU factorization of double precision positive definite band matrix.
DPBSL (SPBSL) Uses LU factorization of double precision positive definite band matrix to solve ...
SPBCO (DPBCO) Uses Cholesky algorithm to compute factorization of real positive definite band ...
SPBFA (DPBFA) Uses Cholesky algorithm to compute factorization of real positive definite band ...
SPBSL (DPBSL) Uses factorization of real positive definite band matrix to solve systems.

Package NAG at ITL|AIX

F01MCF Computes the Cholesky factorisation of a symmetric, positive-definite, variable- ...
F04ACF Calculates the approximate solution of a set of real symmetric positive definite ...
F04MCF Computes the approximate solution of a system of real linear equations with mult ...
F07HDF (SPBTRF/DPBTRF) computes the Cholesky factorization of a real symmetric positive ...
F07HEF (SPBTRS/DPBTRS) solves a real symmetric positive-definite band system of linear ...
F07HGF (SPBCON/DPBCON) estimates the condition number of a real symmetric positive-defi ...
F07HHF (SPBRFS/DPBRFS) returns error bounds for the solution of a real symmetric positi ...
F08UFF Computes a split Cholesky factorization of a real symmetric positive-definite ba ...
F08UTF Computes a split Cholesky factorization of a complex Hermitian positive-definite ...

Package NAGC at ITL

NAG_REAL_CHOLESKY_SKYLINE_SOLVE Computes the approximate solution of a system of real linear equations with mult ...
NAG_REAL_CHOLESKY_SKYLINE Computes the Cholesky factorization of a real symmetric positive-definite variab ...

Package NAPACK at NETLIB

HCON Estimates the 1-norm condition number of a symmetric band matrix. The matrix mus ...
HFACT Factors a symmetric band matrix without pivoting.
HVERT Inverts a symmetric band matrix. The matrix must first be factored using NAPACK ...

Package SLATEC at ITL|ARNO

DPBCO (SPBCO) Factor a real symmetric positive definite matrix stored in band form and estimat ...
DPBFA (SPBFA) Factor a real symmetric positive definite matrix stored in in band form.
DPBSL (SPBSL) Solve a real symmetric positive definite band system using the factors computed ...
SPBCO (DPBCO) Factor a real symmetric positive definite matrix stored in band form and estimat ...
SPBFA (DPBFA) Factor a real symmetric positive definite matrix stored in band form.
SPBSL (DPBSL) Solve a real symmetric positive definite band system using the factors computed ...

Package TOMS at NETLIB

512 FACTOR, RHS, and SOLVE: Fortran subroutines for solving symmetric positive defin ...

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This page was generated on Tue Sep 16, 2008 at 12:23:38 UTC