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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.
Copyright
Authors of Chapters
Papers Presented at Conference
Professor David M. Young, Jr.
Fourier Analysis of Two–Level Hierarchical Basis Preconditioners
An Algebraic Framework for Hierarchical Basis Functions Multilevel Methods or the Search for ‘Optimal’ Preconditioners
ELLPACK and ITPACK as Research Tools for Solving Elliptic Problems
Preconditioned Iterative Methods for Indefinite Symmetric Toeplitz Systems
A Local Relaxation Scheme (Ad-Hoc SOR) Applied to Nine Point and Block Difference Equations
Block Iterative Methods for Cyclically Reduced Non-Self-Adjoint Elliptic Problems
Toward an Effective Two-Parameter SOR Method
Relaxation Parameters for the IQE Iterative Procedure for Solving Semi-Implicit Navier-Stokes Difference Equations
Hodie Approximation of Boundary Conditions
Iterative Methods for Nonsymmetric Linear Systems
Solution of Three-Dimensional Generalized Poisson Equations on Vector Computers
Multi-Level Asynchronous Iteration for PDEs
An Adaptive Algorithm for Richardson's Method
A Note on the SSOR and USSOR Iterative Methods Applied to p-Cyclic Matrices
The ADI Minimax Problem for Complex Spectra
Some Domain Decomposition Algorithms for Elliptic Problems
The Search for Omega