Based on extensive research by Henk van der Vorst, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. Van der Vorst demonstrates how these methods can be derived from basic iteration formulas and how they are related. Focusing on
Iterative Methods for Large Linear Systems
β Scribed by David R. Kincaid, Linda J. Hayes
- Publisher
- Elsevier Inc, Academic Press
- Year
- 1990
- Tongue
- English
- Leaves
- 327
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Front Matter, Page iii
Copyright, Page iv
Preface, Pages v-vi, David R. Kincaid, Linda J. Hayes
Authors of Chapters, Pages vii-viii
Papers Presented at Conference, Pages ix-xii,xiv
Professor David M. Young, Jr., Pages xv-xxiv
Chapter 1 - Fourier Analysis of TwoβLevel Hierarchical Basis Preconditioners, Pages 1-16, LOYCE M. ADAMS
Chapter 2 - An Algebraic Framework for Hierarchical Basis Functions Multilevel Methods or the Search for βOptimalβ Preconditioners, Pages 17-40, OWE AXELSSON
Chapter 3 - ELLPACK and ITPACK as Research Tools for Solving Elliptic Problems, Pages 41-63, GARRETT BIRKHOFF, ROBERT E. LYNCH
Chapter 4 - Preconditioned Iterative Methods for Indefinite Symmetric Toeplitz Systems, Pages 65-79, PAUL CONCUS, PAUL E. SAYLOR
Chapter 5 - A Local Relaxation Scheme (Ad-Hoc SOR) Applied to Nine Point and Block Difference Equations, Pages 81-90, L.W. EHRLICH
Chapter 6 - Block Iterative Methods for Cyclically Reduced Non-Self-Adjoint Elliptic Problems, Pages 91-105, HOWARD C. ELMAN, GENE H. GOLUB
Chapter 7 - Toward an Effective Two-Parameter SOR Method, Pages 107-119, GENE H. GOLUB, JOHN E. DE PILLIS
Chapter 8 - Relaxation Parameters for the IQE Iterative Procedure for Solving Semi-Implicit Navier-Stokes Difference Equations, Pages 121-134, LOUIS A. HAGEMAN
Chapter 9 - Hodie Approximation of Boundary Conditions, Pages 135-147, ROBERT E. LYNCH
Chapter 10 - Iterative Methods for Nonsymmetric Linear Systems, Pages 149-171, WAYNE D. JOUBERT, THOMAS A. MANTEUFFEL
Chapter 11 - Solution of Three-Dimensional Generalized Poisson Equations on Vector Computers, Pages 173-191, DAVID L. HARRAR II, JAMES M. ORTEGA
Chapter 12 - Multi-Level Asynchronous Iteration for PDEs, Pages 193-213, D.C. MARINESCU, J.R. RICE
Chapter 13 - An Adaptive Algorithm for Richardson's Method, Pages 215-233, PAUL E. SAYLOR
Chapter 14 - A Note on the SSOR and USSOR Iterative Methods Applied to p-Cyclic Matrices, Pages 235-249, XIEZHANG LI, RICHARD S. VARGA
Chapter 15 - The ADI Minimax Problem for Complex Spectra, Pages 251-271, EUGENE L. WACHSPRESS
Chapter 16 - Some Domain Decomposition Algorithms for Elliptic Problems, Pages 273-291, MAKSYMILIAN DRYJA, OLOF B. WIDLUND
Chapter 17 - The Search for Omega, Pages 293-311, DAVID M. YOUNG, TSUN-ZEE MAI
Index, Pages 313-319
π SIMILAR VOLUMES
Based on extensive research by Henk van der Vorst, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. Van der Vorst demonstrates how these methods can be derived from basic iteration formulas and how they are related. Focusing on
Based on extensive research by Henk van der Vorst, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. Van der Vorst demonstrates how these methods can be derived from basic iteration formulas and how they are related. Focusing on
Totally awesome and well organized contents are in this material. Nice book to get the knowledge of numerical linear algebra!!!