Computer Solution Of Linear Algebraic Systems
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Computer Solution Of Linear Algebraic Systems
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Author : George Elmer Forsythe
language : en
Publisher:
Release Date : 1967
Computer Solution Of Linear Algebraic Systems written by George Elmer Forsythe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Electronic data processing categories.
Computer Solution Of Large Linear Systems
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Author : Gerard Meurant
language : en
Publisher: Elsevier
Release Date : 1999-06-16
Computer Solution Of Large Linear Systems written by Gerard Meurant and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-16 with Mathematics categories.
This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.
Compact Numerical Methods For Computers
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Author : John C. Nash
language : en
Publisher: CRC Press
Release Date : 1990-01-01
Compact Numerical Methods For Computers written by John C. Nash and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.
This second edition of Compact Numerical Methods for Computers presents reliable yet compact algorithms for computational problems. As in the previous edition, the author considers specific mathematical problems of wide applicability, develops approaches to a solution and the consequent algorithm, and provides the program steps. He emphasizes useful applicable methods from various scientific research fields, ranging from mathematical physics to commodity production modeling. While the ubiquitous personal computer is the particular focus, the methods have been implemented on computers as small as a programmable pocket calculator and as large as a highly parallel supercomputer. New to the Second Edition Presents program steps as Turbo Pascal code Includes more algorithmic examples Contains an extended bibliography The accompanying software (available by coupon at no charge) includes not only the algorithm source codes, but also driver programs, example data, and several utility codes to help in the software engineering of end-user programs. The codes are designed for rapid implementation and reliable use in a wide variety of computing environments. Scientists, statisticians, engineers, and economists who prepare/modify programs for use in their work will find this resource invaluable. Moreover, since little previous training in numerical analysis is required, the book can also be used as a supplementary text for courses on numerical methods and mathematical software.
Computer Solution Of Large Linear Systems
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Author : Gérard A. Meurant
language : en
Publisher:
Release Date : 1999
Computer Solution Of Large Linear Systems written by Gérard A. Meurant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Computer Algorithms For Solving Linear Algebraic Equations
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Author : Emilio Spedicato
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Algorithms For Solving Linear Algebraic Equations written by Emilio Spedicato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
The NATO Advanced Study Institute on "Computer algorithms for solving linear algebraic equations: the state of the art" was held September 9-21, 1990, at II Ciocco, Barga, Italy. It was attended by 68 students (among them many well known specialists in related fields!) from the following countries: Belgium, Brazil, Canada, Czechoslovakia, Denmark, France, Germany, Greece, Holland, Hungary, Italy, Portugal, Spain, Turkey, UK, USA, USSR, Yugoslavia. Solving linear equations is a fundamental task in most of computational mathematics. Linear systems which are now encountered in practice may be of very large dimension and their solution can still be a challenge in terms of the requirements of accuracy or reasonable computational time. With the advent of supercomputers with vector and parallel features, algorithms which were previously formulated in a framework of sequential operations often need a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods using interval arithmetic or symbolic computation), we believe that most important topics were considered, many of them by leading specialists who have contributed substantially to the developments in these fields.
Computer Programs For The Solution Of Systems Of Linear Algebraic Equations
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Author : William T. Segui
language : en
Publisher:
Release Date : 1973
Computer Programs For The Solution Of Systems Of Linear Algebraic Equations written by William T. Segui and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Algebras, Linear categories.
Numerical Linear Algebra For High Performance Computers
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Author : Jack J. Dongarra
language : en
Publisher: SIAM
Release Date : 1998-01-01
Numerical Linear Algebra For High Performance Computers written by Jack J. Dongarra and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Computers categories.
This book presents a unified treatment of recently developed techniques and current understanding about solving systems of linear equations and large scale eigenvalue problems on high-performance computers. It provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications. Topics include major elements of advanced-architecture computers and their performance, recent algorithmic development, and software for direct solution of dense matrix problems, direct solution of sparse systems of equations, iterative solution of sparse systems of equations, and solution of large sparse eigenvalue problems.
Introduction To Parallel And Vector Solution Of Linear Systems
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Author : James M. Ortega
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Introduction To Parallel And Vector Solution Of Linear Systems written by James M. Ortega and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Computers categories.
Although the origins of parallel computing go back to the last century, it was only in the 1970s that parallel and vector computers became available to the scientific community. The first of these machines-the 64 processor llliac IV and the vector computers built by Texas Instruments, Control Data Corporation, and then CRA Y Research Corporation-had a somewhat limited impact. They were few in number and available mostly to workers in a few government laboratories. By now, however, the trickle has become a flood. There are over 200 large-scale vector computers now installed, not only in government laboratories but also in universities and in an increasing diversity of industries. Moreover, the National Science Foundation's Super computing Centers have made large vector computers widely available to the academic community. In addition, smaller, very cost-effective vector computers are being manufactured by a number of companies. Parallelism in computers has also progressed rapidly. The largest super computers now consist of several vector processors working in parallel. Although the number of processors in such machines is still relatively small (up to 8), it is expected that an increasing number of processors will be added in the near future (to a total of 16 or 32). Moreover, there are a myriad of research projects to build machines with hundreds, thousands, or even more processors. Indeed, several companies are now selling parallel machines, some with as many as hundreds, or even tens of thousands, of processors.
Computer Algorithms For Solving Linear Algebraic Equations
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Author : Emilio Spedicato
language : en
Publisher:
Release Date : 1991-08-26
Computer Algorithms For Solving Linear Algebraic Equations written by Emilio Spedicato and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-26 with categories.
This volume presents the lectures given by fourteen specialists in algorithms for linear algebraic systems during a NATO Advanced Study Institute held at Il Ciocco, Barga, Italy, September 1990. The lectures give an up-to-date and fairly complete coverage of this fundamental field in numerical mathematics. Topics related to sequential formulation include a review of classical methods with some new proofs, and extensive presentations of complexity results, of algorithms for linear least squares, of the recently developed ABS methods, of multigrid methods, of preconditioned conjugate gradient methods for H-matrices, of domain decomposition methods, of hierarchical basis methods, and of splitting type methods. With reference to implementations on multiprocessors, topics include algorithms for general sparse systems, factorization methods for dense matrices, Gaussian elimination on systolic arrays, and methods for linear systems arising in optimization problems. The book will be useful as an introduction to a field still in rapid growth and as a reference to the most recent results in the field.
Computer Solution Of Linear Algebraic Systems
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Author : George Elmer Forsythe
language : en
Publisher:
Release Date : 1967
Computer Solution Of Linear Algebraic Systems written by George Elmer Forsythe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Matrices categories.