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Author :
Publisher : Springer-Verlag
ISBN 13 : 3663111083
Total Pages : 283 pages
Book Rating : 4.6/5 (631 download)
Download or read book Polynomial Based Iteration Methods for Symmetric Linear Systems written by and published by Springer-Verlag. This book was released on 2013-07-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernd Fischer
Publisher : SIAM
ISBN 13 : 1611971918
Total Pages : 284 pages
Book Rating : 4.6/5 (119 download)
Download or read book Polynomial Based Iteration Methods for Symmetric Linear Systems written by Bernd Fischer and published by SIAM. This book was released on 2011-07-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Chichester; New York: Wiley; Stuttgart: Teubner, c1996.
Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.8/5 (987 download)
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Author : Dominique Orban
Publisher : SIAM
ISBN 13 : 1611974720
Total Pages : 101 pages
Book Rating : 4.6/5 (119 download)
Download or read book Iterative Solution of Symmetric Quasi-Definite Linear Systems written by Dominique Orban and published by SIAM. This book was released on 2017-04-07 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous applications, including computational optimization and fluid dynamics, give rise to block linear systems of equations said to have the quasi-definite structure. In practical situations, the size or density of those systems can preclude a factorization approach, leaving only iterative methods as the solution technique. Known iterative methods, however, are not specifically designed to take advantage of the quasi-definite structure. This book discusses the connection between quasi-definite systems and linear least-squares problems, the most common and best understood problems in applied mathematics, and explains how quasi-definite systems can be solved using tailored iterative methods for linear least squares (with half as much work!). To encourage researchers and students to use the software, it is provided in MATLAB, Python, and Julia. The authors provide a concise account of the most well-known methods for symmetric systems and least-squares problems, research-level advances in the solution of problems with specific illustrations in optimization and fluid dynamics, and a website that hosts software in three languages.
Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 9780898718003
Total Pages : 546 pages
Book Rating : 4.7/5 (18 download)
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-01-01 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first edition of this book was published in 1996, tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of the new generation of linear and nonlinear systems arising in typical applications has grown. Solving the three-dimensional models of these problems using direct solvers is no longer effective. At the same time, parallel computing has penetrated these application areas as it became less expensive and standardized. Iterative methods are easier than direct solvers to implement on parallel computers but require approaches and solution algorithms that are different from classical methods. Iterative Methods for Sparse Linear Systems, Second Edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. These equations can number in the millions and are sparse in the sense that each involves only a small number of unknowns. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.
Author : Richard Barrett
Publisher : SIAM
ISBN 13 : 0898713285
Total Pages : 130 pages
Book Rating : 4.8/5 (987 download)
Download or read book Templates for the Solution of Linear Systems written by Richard Barrett and published by SIAM. This book was released on 1994-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Anne Greenbaum
Publisher : SIAM
ISBN 13 : 089871396X
Total Pages : 225 pages
Book Rating : 4.8/5 (987 download)
Download or read book Iterative Methods for Solving Linear Systems written by Anne Greenbaum and published by SIAM. This book was released on 1997-01-01 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Are Magnus Bruaset
Publisher : Routledge
ISBN 13 : 1351469371
Total Pages : 175 pages
Book Rating : 4.3/5 (514 download)
Download or read book A Survey of Preconditioned Iterative Methods written by Are Magnus Bruaset and published by Routledge. This book was released on 2018-12-13 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Dominique Orban
Publisher : SIAM
ISBN 13 : 1611974739
Total Pages : 93 pages
Book Rating : 4.6/5 (119 download)
Download or read book Iterative Solution of Symmetric Quasi-definite Linear Systems written by Dominique Orban and published by SIAM. This book was released on 2017-04-07 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous applications, including computational optimization and fluid dynamics, give rise to block linear systems of equations said to have the quasi-definite structure. In practical situations, the size or density of those systems can preclude a factorization approach, leaving only iterative methods as the solution technique. Known iterative methods, however, are not specifically designed to take advantage of the quasi-definite structure.÷ This book discusses the connection between quasi-definite systems and linear least-squares problems, the most common and best understood problems in applied mathematics, and explains how quasi-definite systems can be solved using tailored iterative methods for linear least squares (with half as much work!). To encourage researchers and students to use the software, it is provided in MATLAB, Python, and Julia.÷ The authors provide a concise account of the most well-known methods for symmetric systems and least-squares problems, research-level advances in the solution of problems with specific illustrations in optimization and fluid dynamics, and a website that hosts software in three languages.÷
Author : Y. Saad
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (227 download)
Download or read book Iterative Solution of Indefinite Symmetric Systems by Methods Using Orthogonal Polynomials Over Two Disjoint Intervals written by Y. Saad and published by . This book was released on 1981 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is shown in this paper that certain orthogonal polynomials over two disjoint intervals can be particularly useful for solving large symmetric indefinite linear systems or for finding a few interior eigenvalues of a large symmetric matrix. There are several advantages of the proposed approach over the techniques which are based upon the polynomials having the least uniform norm in two intervals. While a theoretical comparison will show that the norms of the minimal polynomial of degree n in the least squares sense differs from the minimax polynomial of the same degree by a factor not exceeding 2(n+1)to the 0.5 power, the least squares polynomials are by far easier to compute and to use thanks to their three term recurrence relation. A number of suggestions will be made for the problem of estimating the optimal parameters and several numerical experiments will be reported. (Author).
Author : Maxim A. Olshanskii
Publisher : SIAM
ISBN 13 : 1611973465
Total Pages : 257 pages
Book Rating : 4.6/5 (119 download)
Download or read book Iterative Methods for Linear Systems written by Maxim A. Olshanskii and published by SIAM. This book was released on 2014-07-21 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.??
Author : David R. Kincaid
Publisher : Academic Press
ISBN 13 : 1483260208
Total Pages : 350 pages
Book Rating : 4.4/5 (832 download)
Download or read book Iterative Methods for Large Linear Systems written by David R. Kincaid and published by Academic Press. This book was released on 2014-05-10 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : H. A. van der Vorst
Publisher : Cambridge University Press
ISBN 13 : 9780521818285
Total Pages : 242 pages
Book Rating : 4.8/5 (182 download)
Download or read book Iterative Krylov Methods for Large Linear Systems written by H. A. van der Vorst and published by Cambridge University Press. This book was released on 2003-04-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Author : Rizos Sakellariou
Publisher : Springer
ISBN 13 : 3540446818
Total Pages : 950 pages
Book Rating : 4.5/5 (44 download)
Download or read book Euro-Par 2001 Parallel Processing written by Rizos Sakellariou and published by Springer. This book was released on 2003-06-30 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euro-Par – the European Conference on Parallel Computing – is an international conference series dedicated to the promotion and advancement of all aspects of parallel computing. The major themes can be divided into the broad categories of hardware, software, algorithms, and applications for parallel computing. The objective of Euro-Par is to provide a forum within which to promote the dev- opment of parallel computing both as an industrial technique and an academic discipline, extending the frontiers of both the state of the art and the state of the practice. This is particularlyimportant at a time when parallel computing is undergoing strong and sustained development and experiencing real ind- trial take up. The main audience for and participants in Euro-Par are seen as researchers in academic departments, government laboratories, and industrial organisations. Euro-Par aims to become the primarychoice of such professionals for the presentation of new results in their speci?c areas. Euro-Par is also int- ested in applications that demonstrate the e?ectiveness of the main Euro-Par themes. Euro-Par has its own Internet domain with a permanent web site where the historyof the conference series is described: http://www. euro-par. org. The Euro-Par conference series is sponsored bythe Association of Computer Machineryand the International Federation of Information Processing. Euro-Par 2001 Euro-Par 2001 was organised bythe Universityof Manchester and UMIST.
Author : Robert E. O'Malley
Publisher : SIAM
ISBN 13 : 9780898713022
Total Pages : 424 pages
Book Rating : 4.7/5 (13 download)
Download or read book ICIAM 91 written by Robert E. O'Malley and published by SIAM. This book was released on 1992-01-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Computer Arithmetic, Algebra, OOP.
Author : E. J. Hannan
Publisher : SIAM
ISBN 13 : 1611972183
Total Pages : 418 pages
Book Rating : 4.6/5 (119 download)
Download or read book The Statistical Theory of Linear Systems written by E. J. Hannan and published by SIAM. This book was released on 2012-05-31 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Wiley, c1988.
Author : Gabriele Ciaramella
Publisher : SIAM
ISBN 13 : 1611976901
Total Pages : 285 pages
Book Rating : 4.6/5 (119 download)
Download or read book Iterative Methods and Preconditioners for Systems of Linear Equations written by Gabriele Ciaramella and published by SIAM. This book was released on 2022-02-08 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.
