Computer Programs For The Solution Of Systems Of Linear Algebraic Equations
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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.
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.
Numerical Solution Of Systems Of Nonlinear Algebraic Equations
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Author : George D. Byrne
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Numerical Solution Of Systems Of Nonlinear Algebraic Equations written by George D. Byrne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Numerical Solution of Systems of Nonlinear Algebraic Equations contains invited lectures of the NSF-CBMS Regional Conference on the Numerical Solution of Nonlinear Algebraic Systems with Applications to Problems in Physics, Engineering and Economics, held on July 10-14, 1972. This book is composed of 10 chapters and begins with the concepts of nonlinear algebraic equations in continuum mechanics. The succeeding chapters deal with the numerical solution of quasilinear elliptic equations, the nonlinear systems in semi-infinite programming, and the solution of large systems of linear algebraic equations. These topics are followed by a survey of some computational techniques for the nonlinear least squares problem. The remaining chapters explore the problem of nonlinear functional minimization, the modification methods, and the computer-oriented algorithms for solving system. These chapters also examine the principles of contractor theory of solving equations. This book will prove useful to undergraduate and graduate students.
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 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.
Y12m Solution Of Large And Sparse Systems Of Linear Algebraic Equations
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Author : Z. Zlatev
language : en
Publisher: Lecture Notes in Computer Science
Release Date : 1981-09
Y12m Solution Of Large And Sparse Systems Of Linear Algebraic Equations written by Z. Zlatev and has been published by Lecture Notes in Computer Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-09 with Mathematics categories.
Numerical Analysis
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Author : Vinay Vachharajani
language : en
Publisher: BPB Publications
Release Date : 2018-06-01
Numerical Analysis written by Vinay Vachharajani and has been published by BPB Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-01 with Computers categories.
Description:This book is Designed to serve as a text book for the undergraduate as well as post graduate students of Mathematics, Engineering, Computer Science.COVERAGE:Concept of numbers and their accuracy, binary and decimal number system, limitations of floating point representation.Concept of error and their types, propagation of errors through process graph.Iterative methods for finding the roots of algebraic and transcendental equations with their convergence, methods to solve the set of non-linear equations, methods to obtain complex roots.Concept of matrices, the direct and iterative methods to solve a system of linear algebraic equations.Finite differences, interpolation and extrapolation methods, cubic spline, concept of curve fitting.Differentiation and integration methods.Solution of ordinary and partial differential equations SALIENT FEATURES:Chapters include objectives, learning outcomes, multiple choice questions, exercises for practice and solutions.Programs are written in C Language for Numerical methods.Topics are explained with suitable examples.Arrangement (Logical order), clarity, detailed presentation and explanation of each topic with numerous solved and unsolved examples.Concise but lucid and student friendly presentation for derivation of formulas used in various numerical methods. Table Of Contents:Computer ArithmeticError Analysis Solution of Algebraic and Transcendental Equations Solution of System of Linear Equations and Eigen value Problems Finite Differences Interpolation Curve Fitting and Approximation Numerical Differentiation Numerical Integration Difference Equations Numerical Solution of Ordinary Differential Equations Numerical Solution of Partial Differential Equations Appendix - I Case Studies / Applications Appendix - II Synthetic Division Bibliography Index
Numerical Linear Algebra Theory And Applications
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Author : Larisa Beilina
language : en
Publisher: Springer
Release Date : 2017-09-19
Numerical Linear Algebra Theory And Applications written by Larisa Beilina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-19 with Mathematics categories.
This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems. Developed from a number of courses taught repeatedly by the authors, the material covers topics like matrix algebra, theory for linear systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems, and eigenproblems. Numerical algorithms illustrated by computer programs written in MATLAB® are also provided as supplementary material on SpringerLink to give the reader a better understanding of professional numerical software for the solution of real-life problems. Perfect for a one- or two-semester course on numerical linear algebra, matrix computation, and large sparse matrices, this text will interest students at the advanced undergraduate or graduate level.
Y12m Solution Of Large And Sparse Systems Of Linear Algebraic Equations
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Author : Z. Zlatev
language : en
Publisher:
Release Date : 2014-09-12
Y12m Solution Of Large And Sparse Systems Of Linear Algebraic Equations written by Z. Zlatev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with categories.