ScaLAPACK Users' Guide

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.