LINPACKC - Complex Linear Algebra Routines

LINPACKC is the complex version of the LINPACK linear algebra library. LINPACK was developed by Dongarra, Moler, Bunch and Stewart.

LINPACK has officially been superseded by the LAPACK library. However, one drawback to the LAPACK library is its extraordinary complexity; a single subroutine may require 10 or 20 utility routines and the effort to achieve efficiency can make the code difficult to follow.

Versions of LINPACK in various arithmetic precisions are available through the NETLIB web site.

Files you may copy include:

• blah.f90, the source code.
• linpackc_prb.f90, a sample problem.
• linpackc_prb.out, sample problem output.

The list of routines includes:

• C_SWAP swaps two complex values.
• CCHDC computes the Cholesky decomposition of a positive definite matrix.
• CCHDD downdates an augmented Cholesky decomposition.
• CCHEX updates a Cholesky factorization.
• CCHUD updates an augmented Cholesky decomposition.
• CGBCO factors a complex band matrix by gaussian
• CGBDI computes the determinant of a band matrix factored by CGBCO or CGBFA.
• CGBFA factors a complex band matrix by elimination.
• CGBSL solves the complex band system
• CGECO factors a complex matrix by gaussian elimination
• CGEDI computes the determinant and inverse of a matrix
• CGEFA factors a complex matrix by Gaussian elimination.
• CGESL solves a complex system factored by CGECO or CGEFA.
• CGTSL solves a linear system involving a complex general tridiagonal matrix.
• CHICO factors a complex hermitian matrix by elimination with
• CHIDI computes the determinant and inverse of a matrix factored by CHIFA.
• CHIFA factors a complex hermitian matrix.
• CHISL solves a complex hermitian system factored by CHIFA.
• CHPCO factors a complex hermitian matrix stored in packed
• CHPDI computes the determinant, inertia and inverse
• CHPFA factors a complex hermitian matrix stored in
• CHPSL solves a complex hermitian system factored by CHPFA.
• CPBCO factors a complex hermitian positive definite matrix
• CPBDI computes the determinant
• CPBFA factors a complex hermitian positive definite band matrix.
• CPBSL solves the complex hermitian positive definite band
• CPOCO factors a complex hermitian positive definite matrix
• CPODI computes the determinant and inverse of a certain
• CPOFA factors a complex hermitian positive definite matrix.
• CPOSL solves the complex hermitian positive definite system
• CPPCO factors a complex hermitian positive definite matrix
• CPPDI computes the determinant and inverse
• CPPFA factors a complex hermitian positive definite matrix
• CPPSL solves the complex hermitian positive definite system
• CPTSL given a positive definite tridiagonal matrix and a right
• CQRDC uses householder transformations to compute the qr
• CQRSL applies the output of cqrdc to compute coordinate
• CSICO factors a complex symmetric matrix by elimination with
• CSIDI computes the determinant and inverse
• CSIFA factors a complex symmetric matrix by elimination
• CSISL solves a complex symmetric system that was factored by CSIFA.
• CSPCO factors a complex symmetric matrix stored in packed
• CSPDI computes the determinant and inverse
• CSPFA factors a complex symmetric matrix stored in
• CSPSL solves the complex symmetric system
• CSVDC is a subroutine to reduce a complex nxp matrix x by
• CTRCO estimates the condition of a complex triangular matrix.
• CTRDI computes the determinant and inverse of a complex triangular matrix.
• CTRSL solves systems of the form
• TIMESTAMP prints the current YMDHMS date as a time stamp.

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