SCALAPACK
Parallel Linear Algebra Routines

SCALAPACK is a linear algebra library for parallel computers.

Routines are available to solve the linear system A*x=b, or to find the matrix eigensystem, for a variety of matrix types. SCALAPACK is automatically available on many high performance computing systems such as the Cray T3E and the IBM SP-2, SP-3 and SP-4.

SCALAPACK is a parallel implementation of the block-oriented LAPACK linear algebra library, adding the PBLACS special set of communication routines to copy blocks of data between processors as needed, and the PBLAS Parallel Basic Linear Algebra Subprograms. As with LAPACK, a single subroutine call typically carries out the requested computation.

SCALAPACK requires the the user to configure the processors and distribute the matrix data, before the problem can be solved. A beginning user may find these tasks daunting.

Related Data and Programs:

BLACS is a FORTRAN90 example directory which illustrates how to use the Basic Linear Algebra Communication Subroutines for linear algebra computations on a distributed memory machine.

LAPACK is the original non-parallel linear algebra library.

MPI is a FORTRAN90 example directory which demonstrates the use of MPI for parallel computing in distributed memory systems.

OPEN_MP is a directory of FORTRAN90 examples which illustrate the use of the OpenMP application program interface for carrying out parallel computations in a shared memory environment.

PBLAS is a FORTRAN90 example directory which illustrates how to use the PBLAS or parallel Basic Linear Algebra Subroutines, a package that is used by SCALAPACK.

PESSL is a FORTRAN90 example directory which demonstrates the use of PESSL, the parallel mathematics library developed exclusively for use with IBM systems and compilers.

PETSC is a FORTRAN90 example directory which demonstrates the use of the PETSC scientific library for parallel computations.

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. Susan Blackford, Jaeyoung Choi, Andrew Cleary, Eduardo D'Azevedo, James Demmel, Inderjit Dhillon, Jack Dongarra, Sven Hammarling, Greg Henry, Antoine Petitet, Ken Stanley, David Walker, Clinton Whaley,
   The ScaLAPACK User's Guide,
   SIAM, 1997,
   ISBN13: 978-0-898713-97-8.
3. http://www.netlib.org/scalacpack The ScaLAPACK web page.
4. ../../html/scalapack.html a brief introduction to ScaLAPACK.

Examples and Tests:

LAPACK_PRB is a sample program that sets up and solves a linear system using LAPACK. Files you may copy include:

• lapack_prb.f90, the source code that defines the problem;
• lapack_prb.csh, the commands needed to link the test code with LAPACK and run it;
• lapack_prb_output.txt, the output file;

SCALAPACK_PRB1 is a demonstration of the use of SCALAPACK:

• scalapack_prb1.f90, solving a linear system with SCALAPACK;
• scalapack_prb1.csh, commands to compile, link and run the test problem;

SCALAPACK_PRB2 is a demonstration of the use of SCALAPACK:

• scalapack_prb2.f90, a second example;
• scalapack_prb2.csh, commands to compile, link and run the test problem;

You can go up one level to the FORTRAN90 source codes.