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(数值线性代数及其应用)Numerical Linear Algebra and Its Applications

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(数值线性代数及其应用)Numerical Linear Algebra and Its Applications

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作 者:Yi-min Wei

出 版 社:科学出版社

出版时间:2004-10-1

I S B N: 9787030139542

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This is texbook for the senior students majoring in scientific computing and information science. It will be also useful to all who teach or study the subject.

内容简介

Numerical linear algebra, also called matrix computation, has been a center of scientific and engineering computing since 1946. Most of problems in science and engineering finally become problems in matrix computations. This book gives an elementary introduction to matrix computation and it also includes some new results obtained in recent years. This book consists of nine chapters. It includes the Gaussian elimination, classical iterative methods and Krylov subspace methods for solving linear systems; the perturbation analysis of linear systems; the rounding error analysis of elimination; the orthogonal decompositions for solving linear least squares problem; and some classical methods for eigen-problems. In the last chapter, a brief survey of the latest developments in using boundary value methods for solving initial value problems of ordinary differential equations is given.

作者简介

目录

Preface
Chapter 1 Introduction
Chapter 2 Direct Methods for Linear Systems
Chapter 3 Perturbation and Error Analysis
Chapter 4 Least Squares Problems
Chapter 5 Classicsl Iterative Methods
Chapter 6 Krylov Subspace Methods
Chapter 7 Nonsymmetric Eigenvalue Problems
Chapter 8 Symmetric Eigenvalue Problems
Chapter 9 Applications
Bibliography

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