A Survey Of Preconditioned Iterative Methods
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A Survey Of Preconditioned Iterative Methods
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Author : Are Magnus Bruaset
language : en
Publisher: Routledge
Release Date : 2018-12-13
A Survey Of Preconditioned Iterative Methods written by Are Magnus Bruaset and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-13 with Mathematics categories.
The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w
A Survey Of Preconditioned Iterative Methods
DOWNLOAD
FREE 30 Days
Author : Are Magnus Bruaset
language : en
Publisher: Routledge
Release Date : 2018-12-13
A Survey Of Preconditioned Iterative Methods written by Are Magnus Bruaset and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-13 with Mathematics categories.
The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w
Preconditioned Iterative Methods
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Author :
language : en
Publisher:
Release Date : 1992
Preconditioned Iterative Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Preconditioned Iterative Methods
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Author : David J. Evans
language : en
Publisher: Gordon & Breach Science Pub
Release Date : 1994
Preconditioned Iterative Methods written by David J. Evans and has been published by Gordon & Breach Science Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
Precondition Gradient Methods emerged in the early 1970s as the most impressive algorithm for the large sparse definite problems. The method has gained large acceptance throughout the world since then and undergone rapid development. The method has been generalized to non-symmetric and indefinite problems, domain decomposition, eigenvalue problems, and many other application areas. The analysis of the preconditioning strategy is both a mathematically fascinating and complex topic. Since the topic appears to be expanding in importance, it was felt opportune to present this volume containing papers on preconditioned iterative methods, Incomplete Factorisation and SSOR preconditioning and the Preconditioned Conjugate Gradient Method covering symmetric and non-symmetric systems on computers (vector and parallel) for finite element and computational fluid dynamic applications. This volume serves as a useful companion volume to the previously published "Preconditioning Methods: Theory and Application"
Iterative Methods And Preconditioning For Large And Sparse Linear Systems With Applications
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Author : Daniele Bertaccini
language : en
Publisher: CRC Press
Release Date : 2018-02-19
Iterative Methods And Preconditioning For Large And Sparse Linear Systems With Applications written by Daniele Bertaccini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-19 with Mathematics categories.
This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.
Iterative Methods For Sparse Linear Systems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2003-04-01
Iterative Methods For Sparse Linear Systems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-01 with Mathematics categories.
Mathematics of Computing -- General.
Iterative Methods For Linear Systems
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Author : Maxim A. Olshanskii
language : en
Publisher: SIAM
Release Date : 2014-07-21
Iterative Methods For Linear Systems written by Maxim A. Olshanskii and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Mathematics categories.
Iterative Methods for Linear Systems?offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.??
Iterative Methods For Large Linear Systems
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Author : David R. Kincaid
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Iterative Methods For Large Linear Systems written by David R. Kincaid and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
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.
Iterative Methods And Preconditioners For Systems Of Linear Equations
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Author : Gabriele Ciaramella
language : en
Publisher:
Release Date : 2022
Iterative Methods And Preconditioners For Systems Of Linear Equations written by Gabriele Ciaramella and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Control theory categories.
"This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations (PDEs) and optimal control problems governed by elliptic PDEs, for which the use of matrix-free procedures is crucial"--
Iterative Methods For Solving Linear Systems
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Author : Anne Greenbaum
language : en
Publisher: SIAM
Release Date : 1997-01-01
Iterative Methods For Solving Linear Systems written by Anne Greenbaum and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
Much recent research has concentrated on the efficient solution of large sparse or structured linear systems using iterative methods. A language loaded with acronyms for a thousand different algorithms has developed, and it is often difficult even for specialists to identify the basic principles involved. Here is a book that focuses on the analysis of iterative methods. The author includes the most useful algorithms from a practical point of view and discusses the mathematical principles behind their derivation and analysis. Several questions are emphasized throughout: Does the method converge? If so, how fast? Is it optimal, among a certain class? If not, can it be shown to be near-optimal? The answers are presented clearly, when they are known, and remaining important open questions are laid out for further study. Greenbaum includes important material on the effect of rounding errors on iterative methods that has not appeared in other books on this subject. Additional important topics include a discussion of the open problem of finding a provably near-optimal short recurrence for non-Hermitian linear systems; the relation of matrix properties such as the field of values and the pseudospectrum to the convergence rate of iterative methods; comparison theorems for preconditioners and discussion of optimal preconditioners of specified forms; introductory material on the analysis of incomplete Cholesky, multigrid, and domain decomposition preconditioners, using the diffusion equation and the neutron transport equation as example problems. A small set of recommended algorithms and implementations is included.