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ScaLAPACK Users' Guide: (Software Environments and Tools)

ScaLAPACK Users' Guide: (Software Environments and Tools)


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About the Book

ScaLAPACK is an acronym for Scalable Linear Algebra Package or Scalable LAPACK. It is a library of high-performance linear algebra routines for distributed memory message-passing MIMD computers and networks of workstations supporting parallel virtual machine (PVM) and/or message passing interface (MPI). It is a continuation of the LAPACK project, which designed and produced analogous software for workstations, vector supercomputers, and shared memory parallel computers. Both libraries contain routines for solving systems of linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency, scalability, reliability, portability, flexibility, and ease of use. ScaLAPACK includes routines for the solution of dense, band, and tridiagonal linear systems of equations, condition estimation and iterative refinement, for LU and Cholesky factorization, matrix inversion, full-rank linear least squares problems, orthogonal and generalized orthogonal factorizations, orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal and tridiagonal form, reduction of a symmetric-definite/ Hermitian-definite generalized eigenproblem to standard form, the symmetric/Hermitian, generalized symmetric/Hermitian, and nonsymmetric eigenproblem, and the singular value decomposition. Prototype codes are provided for out-of-core linear solvers for LU, Cholesky, and QR, the matrix sign function for eigenproblems, an HPF interface to a subset of ScaLAPACK routines, and SuperLU. Software is available in single-precision real, double-precision real, single-precision complex, and double-precision complex. The software has been written to be portable across a wide range of distributed-memory environments such as the Cray T3, IBM SP, Intel series, TM CM-5, networks of workstations, and any system for which PVM or MPI is available. Each Users' Guide includes a CD-ROM containing the HTML version of the ScaLAPACK Users' Guide, the source code for ScaLAPACK and LAPACK, 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. Chapter 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 Chapter 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 Chapter 3: Contents of ScaLAPACK. Structure of ScaLAPACK Driver Routines Computational Routines Orthogonal or Unitary Matrices Algorithmic Differences between LAPACK and ScaLAPACK Chapter 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 Chapter 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 Chapter 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 Chapter 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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Product Details
  • ISBN-13: 9780898713978
  • Publisher: Society for Industrial & Applied Mathematics,U.S.
  • Publisher Imprint: Society for Industrial & Applied Mathematics,U.S.
  • Height: 229 mm
  • No of Pages: 341
  • Series Title: Software Environments and Tools
  • Weight: 902 gr
  • ISBN-10: 0898713978
  • Publisher Date: 31 Jul 1997
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Spine Width: 28 mm
  • Width: 152 mm


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