lapack_eigen_test

lapack_eigen_test, a Fortran77 code which tests a few lapack() eigenvalue routines.

The code demonstrates the double precision LAPACK drivers DSYEV and DSYEVD on a real symmetric matrix. Random problems of size 4, 16, 64, 256 and 1024 are generated and solved, and the setup and solution times are reported. The TEST_EIGEN package is called to generate the random test matrices.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

lapack_eigen_test is available in a Fortran77 version and a Fortran90 version.

Related Data and Programs:

BLAS, a Fortran90 library which contains the Basic Linear Algebra Subprograms (BLAS) for level 1 (vector-vector operations), level 2 (matrix-vector operations) and level 3 (matrix-matrix operations), for single precision real arithmetic, double precision real arithmetic, single precision complex arithmetic, and double precision complex arithmetic.

EISPACK, a Fortran90 library which carries out eigenvalue computations; superseded by LAPACK;

LAPACK_EXAMPLES, a Fortran90 program which demonstrates the use of the LAPACK linear algebra library.

LAPACK_EXAMPLES_OSX, a Fortran90 program which demonstrates the use of the LAPACK linear algebra library available on Macintosh OSX systems, using the "-framework veclib" compiler option.

LINPACK_D, a Fortran90 library which solves linear systems using double precision real arithmetic;

LINPLUS, a Fortran90 library which carries out simple manipulations of matrices in a variety of formats.

QR_SOLVE, a Fortran90 library which computes the least squares solution of a linear system A*x=b.

TEST_EIGEN, a Fortran90 library which defines various eigenvalue test cases.

TEST_MAT, a Fortran90 library which defines test matrices, some of which have known determinants, eigenvalues and eigenvectors, inverses, and so on.

Reference:

1. Edward Anderson, Zhaojun Bai, Christian Bischof, Susan Blackford, James Demmel, Jack Dongarra, Jeremy DuCroz, Anne Greenbaum, Sven Hammarling, Alan McKenney, Danny Sorensen,
   LAPACK User's Guide,
   Third Edition,
   SIAM, 1999,
   ISBN: 0898714478,
   LC: QA76.73.F25L36
2. Vincent Barker, Susan Blackford, Jack Dongarra, Jeremy Du Croz, Sven Hammarling, Minka Marinova, Jerzy Wasniewski, Plamen Yalamov,
   LAPACK95 User's Guide,
   SIAM, 2001,
   ISBN13: 978-0-898715-04-0,
   LC: QA76.73.F25.L36.

Examples and Tests:

• lapack_eigen_test.f90/a>, the source code for the tests.
• lapack_eigen_test.txt, the output file;

You can go up one level to the Fortran90 source codes.