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· 제목 : Scalapack Users' Guide (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 선형대수학
· ISBN : 9780898713978
· 쪽수 : 351쪽
· 출판일 : 1987-01-01
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 선형대수학
· ISBN : 9780898713978
· 쪽수 : 351쪽
· 출판일 : 1987-01-01
목차
- 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.
