Iterative Methods for Large Linear Systems
eBook - PDF

Iterative Methods for Large Linear Systems

  1. 350 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Iterative Methods for Large Linear Systems

Book details
Table of contents
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About This Book

Iterative Methods for Large Linear Systems contains a wide spectrum of research topics related to iterative methods, such as searching for optimum parameters, using hierarchical basis preconditioners, utilizing software as a research tool, and developing algorithms for vector and parallel computers. This book provides an overview of the use of iterative methods for solving sparse linear systems, identifying future research directions in the mainstream of modern scientific computing with an eye to contributions of the past, present, and future. Different iterative algorithms that include the successive overrelaxation (SOR) method, symmetric and unsymmetric SOR methods, local (ad-hoc) SOR scheme, and alternating direction implicit (ADI) method are also discussed. This text likewise covers the block iterative methods, asynchronous iterative procedures, multilevel methods, adaptive algorithms, and domain decomposition algorithms. This publication is a good source for mathematicians and computer scientists interested in iterative methods for large linear systems.

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Yes, you can access Iterative Methods for Large Linear Systems by David R. Kincaid,Linda J. Hayes in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483260204
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Iterative Methods for Large Linear Systems
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Authors of Chapters
  7. Papers Presented at Conference
  8. Professor David M. Young, Jr.
  9. Photographs from Conference
  10. Chapter 1. Fourier Analysis of Two-Level Hierarchical Basis Preconditioners
  11. Chapter 2. An Algebraic Framework for Hierarchical Basis Functions Multilevel Methods or the Search for 'Optimal' Preconditioners
  12. Chapter 3. ELLPACK and ITPACK as Research Tools for Solving Elliptic Problems
  13. Chapter 4. Preconditioned Iterative Methods for Indefinite Symmetric Toeplitz Systems
  14. Chapter 5. A Local Relaxation Scheme (Ad-Hoc SOR) Applied to Nine Pointand Block Difference Equations
  15. Chapter 6. Block Iterative Methods for Cyclically Reduced Non-Self-Adjoint Elliptic Problems
  16. Chapter 7. Toward an Effective Two-Parameter SOR Method
  17. Chapter 8. Relaxation Parameters for the IQE Iterative Procedure for Solving Semi-Implicit Navier-Stokes Difference Equations
  18. Chapter 9. Hodie Approximation of Boundary Conditions
  19. Chapter 10. Iterative Methods for Nonsymmetric Linear Systems
  20. Chapter 11. Solution of Three-Dimensional Generalized Poisson Equations on Vector Computers
  21. Chapter 12. Multi-Level Asynchronous Iteration for PDEs
  22. Chapter 13. An Adaptive Algorithm for Richardson's Method
  23. Chapter 14. A Note on the SSOR and USSOR Iterative Methods Applied to p-Cyclic Matrices
  24. Chapter 15. The ADI Minimax Problem for Complex Spectra
  25. Chapter 16. Some Domain Decomposition Algorithms for Elliptic Problems
  26. Chapter 17. The Search for Omega
  27. Index