ARPACK users' guide : solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods /
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Author / Creator: | Lehoucq, R. B. (Richard B.) |
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Imprint: | Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1998. |
Description: | 1 online resource (xv, 142 pages) : illustrations, digital file |
Language: | English |
Series: | Software, environments, tools ; 6 Software, environments, tools ; 6. |
Subject: | ARPACK (Computer file) ARPACK (Computer file) Eigenvalues -- Data processing. Eigenvalues -- Data processing. Electronic books. |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12577296 |
Table of Contents:
- 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.