Category: Libraries-Math-LinearAlgebra
ARPACK (PARPACK) is a collection of Fortran77 subroutines designed to solve large scale eigenvalue problems.
The package is designed to compute a few eigenvalues and corresponding eigenvectors of a general n by n matrix A. It is most appropriate for large sparse or structured matrices A where structured means that a matrix-vector product w <- Av requires order n rather than the usual order n2 floating point operations. This software is based upon an algorithmic variant of the Arnoldi process called the Implicitly Restarted Arnoldi Method (IRAM). When the matrix A is symmetric it reduces to a variant of the Lanczos process called the Implicitly Restarted Lanczos Method (IRLM). These variants may be viewed as a synthesis of the Arnoldi/Lanczos process with the Implicitly Shifted QR technique that is suitable for large scale problems. For many standard problems, a matrix factorization is not required. Only the action of the matrix on a vector is needed.
ARPACK software is capable of solving large scale symmetric, nonsymmetric, and generalized eigenproblems from significant application areas. The software is designed to compute a few (k) eigenvalues with user specified features such as those of largest real part or largest magnitude. Storage requirements are on the order of n*k locations. No auxiliary storage is required. A set of Schur basis vectors for the desired k-dimensional eigen-space is computed which is numerically orthogonal to working precision. Numerically accurate eigenvectors are available on request.
A parallel version of the ARPACK library, PARPACK, is also availible. The message passing layers currently supported are BLACS and MPI . Parallel ARPACK (PARPACK) is provided as an extension to the current ARPACK library (Release 2.1).
For further information, see the ARPACK/PARPACK home page.
To use the serial version of ARPACK:
module load arpack ftn test.f90 -larpack"or to use the parallel version of ARPACK (PARPACK):
module load arpack ftn test.f90 -lparpack"
The arpack module must be reloaded if you change the PrgEnv or you must issue a 'module update' command.
This package has the following support level : Supported
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pgi | pathscale | gnu | Other | |||||||
2008.03.11 |
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