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authorrodent <rodent>2013-04-07 20:49:31 +0000
committerrodent <rodent>2013-04-07 20:49:31 +0000
commit5ca67f2f93564feb67aa83240b7235d93601b287 (patch)
tree79de035a23bbb285c8713b492fa4fa499634f7f8 /math/arpack
parent76082ed57bbb1f3f2c474cb3aa30e86dae4bcd69 (diff)
downloadpkgsrc-5ca67f2f93564feb67aa83240b7235d93601b287.tar.gz
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-ARPACK 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 n**2 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.
-
-Important Features:
-
- o Reverse Communication Interface.
- o Single and Double Precision Real Arithmetic Versions for Symmetric,
- Non-symmetric, Standard or Generalized Problems.
- o Single and Double Precision Complex Arithmetic Versions for Standard
- or Generalized Problems.
- o Routines for Banded Matrices - Standard or Generalized Problems.
- o Routines for The Singular Value Decomposition.
- o Example driver routines that may be used as templates to implement
- numerous Shift-Invert strategies for all problem types, data types
- and precision.
+ARPACK 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 n**2
+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. Important Features:
+ o Reverse Communication Interface.
+ o Single and Double Precision Real Arithmetic Versions for Symmetric,
+ Non-symmetric, Standard or Generalized Problems.
+ ...and more!