lapack_d

lapack_d, a Fortran90 code which is a standard linear algebra package for solving linear systems, computing matrix factorizations, and solving eigenvalue problems. This version uses double precision arithmetic, and assumes the matrix and vector data is real.

The code includes routines to

• Solve a linear system;
• Solve an under- or over-determined linear system;
• Compute the determinant of a square matrix;
• Compute the inverse of a square matrix;
• Compute the condition number of a square matrix;
• Compute the singular value decomposition of a square or rectangular matrix;
• Compute the QR decomposition of a square or rectangular matrix;
• Compute the eigenvalues and eigenvectors of a square matrix;

The source code and documentation is available through the NETLIB web site.

Licensing:

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

Languages:

lapack_d is available in a Fortran90 version.

Related Data and Programs:

lapack_d_test

lapack_test, a Fortran90 code which calls lapack(), which is a standard linear algebra package for solving linear systems, computing matrix factorizations, and solving eigenvalue problems. A precompiled copy of the lapack() library is often available on most scientific computing systems.

linear_algebra, a Fortran90 code which carries out various linear algebra operations for matrices stored in a variety of formats.

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.

Source code:

• lapack_d.f90, the source code.
• lapack_d.sh, compiles the source code.