基本信息
- 原书名：Applied Numerical Linear Algebra
- 原出版社： SIAM
- 作者： James W. Demmel
- 丛书名： 国际著名数学图书--影印版
- 出版社：清华大学出版社
- ISBN：9787302245001
- 上架时间：2011-3-21
- 出版日期：2011 年2月
- 开本：16开
- 页码：419
- 版次：1-1
- 所属分类：数学 > 代数，数论及组合理论 > 线性代数
内容简介
书籍
数学书籍
This textbook covers both direct and iterative methods for the solution of lineal systems, least squares problems, eigenproblems, and the singular value decom- position. Earlier versions have been used by the author in graduate classes ir the Mathematics Department of the University of California at Berkeley since 1990 and at the Courant Institute before then.
In writing this textbook I aspired to meet the following goals:
1. The text should be attractive to first-year graduate students from a va-riety of engineering and scientific disciplines.
2. It should be self-contained, assuming only a good undergraduate back-ground in linear algebra.
3. The students should learn the mathematical basis of the field, as well as how to build or find good numerical software.
4. Students should acquire practical knowledge for solving real problemsefficiently. In particular, they should know what the state-of-the-art techniques are in each area or when to look for them and where to findthem, even if I analyze only simpler versions in the text.
5. It should all fit in one semester, since that is what most students haveavailable for this subject.
Indeed, I was motivated to write this book because the available textbooks, while very good, did not meet these goals. Golub and Van Loan's text [121]is too encyclopedic in style, while still omitting some important topics such as multigrid, domain decomposition, and some recent algorithms for eigenvalue problems. Watkins's [252] and Trefethen's and Bau's [243] also omit some state-of-the-art algorithms.
数学书籍
This textbook covers both direct and iterative methods for the solution of lineal systems, least squares problems, eigenproblems, and the singular value decom- position. Earlier versions have been used by the author in graduate classes ir the Mathematics Department of the University of California at Berkeley since 1990 and at the Courant Institute before then.
In writing this textbook I aspired to meet the following goals:
1. The text should be attractive to first-year graduate students from a va-riety of engineering and scientific disciplines.
2. It should be self-contained, assuming only a good undergraduate back-ground in linear algebra.
3. The students should learn the mathematical basis of the field, as well as how to build or find good numerical software.
4. Students should acquire practical knowledge for solving real problemsefficiently. In particular, they should know what the state-of-the-art techniques are in each area or when to look for them and where to findthem, even if I analyze only simpler versions in the text.
5. It should all fit in one semester, since that is what most students haveavailable for this subject.
Indeed, I was motivated to write this book because the available textbooks, while very good, did not meet these goals. Golub and Van Loan's text [121]is too encyclopedic in style, while still omitting some important topics such as multigrid, domain decomposition, and some recent algorithms for eigenvalue problems. Watkins's [252] and Trefethen's and Bau's [243] also omit some state-of-the-art algorithms.
目录
《应用数值线性代数(英文影印版)》
Preface
1Introduction
1.1Basic Notation
1.2Standard Problems of Numerical Linear Algebra
1.3General Techniques
1.3.1Matrix Factorizations
1.3.2Perturbation Theory and Condition Numbers
1.3.3Effects of Roundoff Error on Algorithms
1.3.4Analyzing the Speed of Algorithms
1.3.5Engineering Numerical Software
1.4Example: Polynomial Evaluation
1.5Floating Point Arithmetic
1.5,1Further Details
1.6Polynomial Evaluation Revisited
1.7Vector and Matrix Norms
1.8References and Other Topics for Chapter 1
1.9Questions for Chapter 1
2Linear Equation Solving
2.1Introduction
Preface
1Introduction
1.1Basic Notation
1.2Standard Problems of Numerical Linear Algebra
1.3General Techniques
1.3.1Matrix Factorizations
1.3.2Perturbation Theory and Condition Numbers
1.3.3Effects of Roundoff Error on Algorithms
1.3.4Analyzing the Speed of Algorithms
1.3.5Engineering Numerical Software
1.4Example: Polynomial Evaluation
1.5Floating Point Arithmetic
1.5,1Further Details
1.6Polynomial Evaluation Revisited
1.7Vector and Matrix Norms
1.8References and Other Topics for Chapter 1
1.9Questions for Chapter 1
2Linear Equation Solving
2.1Introduction
