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kincaid d iterative methods large linear systems 1990

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Textbook in PDF format 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

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Kincaid D. Iterative Methods for Large Linear Systems 1990.pdf 12.7 MB

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kincaid d iterative methods large linear systems 1990

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