Table of Contents

About the authors; Preface; Introduction; 1. High performance computing; 2. Overview of current high-performance computers; 3. Implementation details and overhead; 4. Performance: analysis, modeling, and measurements; 5. Building blocks in linear algebra; 6. Direct solution of sparse linear systems; 7. Krylov subspaces: projection; 8. Iterative methods for linear systems; 9. Preconditioning and parallel preconditioning; 10. Linear Eigenvalue problems Ax=lx; 11. The generalized Eigenproblem; Appendix A. Acquiring mathematical software; Appendix B. Glossary; Appendix C. Level 1, 2, and 3 BLAS quick reference; Appendix D. Operation counts for various BLAS and decompositions; Bibliography; Index.

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Provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.