عنوان

ARPACK users' guide

(Number (ISBN

9780898719628 (electronic bk.)

Erroneous ISBN

0898714079 (print)

Erroneous ISBN

9780898714074 (print)

Number

b503371

Publisher's Number

SE06

Title Proper

ARPACK users' guide

General Material Designation

[Book]

Other Title Information

solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods /

First Statement of Responsibility

R.B. Lehoucq, D.C. Sorensen, C. Yang.

Place of Publication, Distribution, etc.

Philadelphia, Pa. :

Name of Publisher, Distributor, etc.

Society for Industrial and Applied Mathematics,

Date of Publication, Distribution, etc.

1998.

Specific Material Designation and Extent of Item

1 online resource (xv, 142 p.) :

Other Physical Details

ill.

Series Title

Software, environments, tools ;

Volume Designation

6.

Text of Note

Includes bibliographical references (p. 133-136) and index.

Text of Note

List of figures -- List of tables -- Preface -- 1. Introduction to ARPACK -- Important features -- Getting started -- Reverse communication interface -- Availability -- Installation -- Documentation -- Dependence on LAPACK and BLAS -- Expected performance -- P_ARPACK -- Contributed additions -- Trouble shooting and problems -- 2. Getting started with ARPACK -- Directory structure and contents -- Getting started -- An example for a symmetric eigenvalue problem -- 3. General use of ARPACK -- Naming conventions, precisions, and types -- Shift and invert spectral transformation mode -- Reverse communication structure for shift-invert -- Using the computational modes -- Computational modes for real symmetric problems -- Postprocessing for eigenvectors using dseupd -- Computational modes for real nonsymmetric problems -- Postprocessing for eigenvectors using dneupd -- Computational modes for complex problems -- Postprocessing for eigenvectors using zneupd -- 4. The implicitly restarted Arnoldi method -- Structure of the eigenvalue problem -- Krylov subspaces and projection methods -- The Arnoldi factorization -- Restarting the Arnoldi method -- The generalized eigenvalue problem -- Stopping criterion -- 5. Computational routines -- ARPACK subroutines -- LAPACK routines used by ARPACK -- BLAS routines used by ARPACK -- Appendix A. Templates and driver routines -- Symmetric Drivers -- Real nonsymmetric drivers -- Complex divers -- Band drivers -- The singular value decomposition -- Appendix B. Tracking the progress of ARPACK -- Obtaining trace output -- Check-pointing ARPACK -- Appendix C. The XYaupd ARPACK routines -- DSAUPD -- DNAUPD -- ZNAUPD -- Bibliography -- Index.

0

Text of Note

This book is a guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. The software described is based on the implicitly restarted Arnoldi method, which has been heralded as one of the three most important advances in large scale eigenanalysis in the past ten years. The book explains the acquisition, installation, capabilities, and detailed use of the software for computing a desired subset of the eigenvalues and eigenvectors of large (sparse) standard or generalized eigenproblems. It also discusses the underlying theory and algorithmic background at a level that is accessible to the general practitioner.

International Standard Book Number

9780898714074

ARPACK (Computer file)

Eigenvalues-- Data processing.

Number

Edition

Class number

Book number

Lehoucq, R. B., (Richard B.)

Sorensen, D. C., (Danny C.)

Yang, C., (Chao)

Society for Industrial and Applied Mathematics.

Date of Transaction

20110114003154.0

Electronic name

[Book]

Y