ScaLAPACK Users' Guide

Whaley R. C. Walker D. Stanley K. Petitet A. Henry G. Hammarling S. Dongarra J. Dhillon I. Demmel J. D'Azevedo E. Cleary A. Choi J. Blackford L. S.

ISBN 10: 0898713978 / ISBN 13: 9780898713978

Editore: Society for Industrial & Applied Mathematics, 1987

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Codice articolo 181988611

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Titolo: ScaLAPACK Users' Guide

Casa editrice: Society for Industrial & Applied Mathematics

Data di pubblicazione: 1987

Legatura: Brossura

Condizione: New

Descrizione articolo

Riassunto:

ScaLAPACK is a library of linear algebra routines for MIMD computers and networks of workstations supporting PVM and/or MPI.

Contenuti:

List of figures; List of tables; Preface; Suggestions for reading; List of notation; Part I. Guide: 1. Essentials. ScaLAPACK; Structure and Functionality; Software Components; Efficiency and Portability; Availability; Commercial Use; Installation; Documentation; Support; Errata; Related Projects; Contents of the CD-ROM; 2. Getting Started with ScaLAPACK. How to Run an Example Program Using MPI; Source Code for Example Program #1; Details of Example Program #1; Four Basic Steps Required to Call a ScaLAPACK Routine; 3. Contents of ScaLAPACK. Structure of ScaLAPACK; Driver Routines; Computational Routines; Orthogonal or Unitary Matrices; Algorithmic Differences between LAPACK and ScaLAPACK; 4. Data Distribution and Software Conventions. Basics; Array Descriptors; In-Core Dense Matrices; In-Core Narrow Band and Tridiagonal Matrices; Out-of-Core Matrices; Design and Documentation of Argument Lists; Extensions; 5. Performance of ScaLAPACK. Achieving High Performance with ScaLAPACK; Performance, Portability and Scalability; Performance Evaluation; Performance Improvement; Performance of Banded and Out-of-Core Drivers; 6. Accuracy and Stability. Sources of Error in Numerical Calculations; New Sources of Error in Parallel Numerical Computations; How to Measure Errors; Further Details: How Error Bounds are Derived; Error Bounds for Linear Equation Solving; Error Bounds for Linear Least Squares Problems; Error Bounds for the Symmetric Eigenproblem; Error Bounds for the Singular Value Decomposition; Error Bounds for the Generalized Symmetric Definite Eigenproblem; 7. Troubleshooting. Installation Debugging Hints; Application Debugging Hints; Common Errors in Calling ScaLAPACK Routines; Failures Detected by ScaLAPACK Routines; Wrong Results; Error Handling in the PBLAS; Error Handling in the BLACS; System Error Messages; Poor Performance; Appendix A. Index of ScaLAPACK Routines. Index of Driver and Computational Routines; Index of Auxiliary Routines; Matrix Redistribution/Copy Routines; Appendix B. Call Conversion: LAPACK to ScaLAPACK and BLAS to PBLAS. Translating BLAS-based programs to the PBLAS; Translating LAPACK-based programs to ScaLAPACK; Appendix C. Example Programs. Example Program #2; HPF Interface to ScaLAPACK; Appendix D. Quick Reference Guides. ScaLAPACK Quick Reference Guide; Quick Reference Guide to the PBLAS; Quick Reference Guide to the BLACS; Glossary; Part II. Specifications of Routines: Bibliography; Index by keyword; Index by routine name.