LINPACK_Z
Linear Algebra Library
Double Precision Complex


LINPACK_Z is a MATLAB library which solves systems of linear equations for a variety of matrix types and storage modes, by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.

MATLAB already provides a wide set of linear equation solvers. This (partial) set of LINPACK routines is provided just for testing and comparison.

LINPACK has officially been superseded by the LAPACK library. The LAPACK library uses more modern algorithms and code structure. However, the LAPACK library can be extraordinarily complex; what is done in a single LINPACK routine may correspond to 10 or 20 utility routines in LAPACK. This is fine if you treat LAPACK as a black box. But if you wish to learn how the algorithm works, or to adapt it, or to convert the code to another language, this is a real drawback. This is one reason I still keep a copy of LINPACK around.

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

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

LINPACK_Z is available in a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BLAS1_Z, a MATLAB library which contains basic linear algebra routines for vector-vector operations, using double precision complex arithmetic.

LAPACK_EXAMPLES, a FORTRAN90 program which demonstrates the use of the LAPACK linear algebra library.

LINPACK_C, a MATLAB library which solves linear systems using sihgle precision complex arithmetic;

LINPACK_D, a MATLAB library which solves linear systems using double precision real arithmetic;

LINPACK_S, a MATLAB library which solves linear systems using single precision real arithmetic;

LINPLUS, a MATLAB library which carries out simple manipulations of matrices in a variety of formats.

TEST_MAT, a MATLAB library which defines test matrices.

TEST_MATRIX, a MATLAB library which contains a collection of test matrices by Nick Higham.

Author:

Original FORTRAN77 version by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart. MATLAB version by John Burkardt.

Reference:

  1. Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,
    LINPACK User's Guide,
    SIAM, 1979,
    ISBN13: 978-0-898711-72-1,
    LC: QA214.L56.
  2. Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,
    Algorithm 539, Basic Linear Algebra Subprograms for Fortran Usage,
    ACM Transactions on Mathematical Software,
    Volume 5, Number 3, September 1979, pages 308-323.

Source Code:

Examples and Tests:

You can go up one level to the MATLAB source codes.


Last revised on 04 January 2011.