ScaLAPACK user's guide.

ScaLAPACK user's guide.

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Bibliographic Details
Imprint:[Place of publication not identified] SIAM 1997.
Description:1 online resource.
Language:English
Series:Software, environments, tools
Software, environments, tools.
Subject:
Algebras, Linear -- Data processing.
Subroutines (Computer programs)
Algebras, Linear -- Data processing.
Subroutines (Computer programs)
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12577620
Hidden Bibliographic Details
Other authors / contributors:Blackford, L. S, Contributor.
Society for Industrial and Applied Mathematics, Content Provider.
ISBN:0898713978
9780898713978
0898714001
9780898714005
089871401X
9780898714012
Notes:Includes bibliographical references (pages 305-313) and indexes.
English.
Summary:Accompanying CD-ROM includes HTML version of the ScaLAPACK User's Guide, the source code for the package, testing and timing programs, prebuilt versions of the library for a number of computers, example programs, and the full set of LAPACK working notes.
Table of Contents:
  • 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

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