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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
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| 目錄：
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《应用数值线性代数英文影印版》
preface
1 introduction
1.1 basic notation
1.2 standard problems of numerical linear algebra
1.3 general techniques
1.3.1 matrix factorizations
1.3.2 perturbation theory and condition numbers
1.3.3 effects of roundoff error on algorithms
1.3.4 analyzing the speed of algorithms
1.3.5 engineering numerical software
1.4 example: polynomial evaluation
1.5 floating point arithmetic
1.5.1 further details
1.6 polynomial evaluation revisited
1.7 vector and matrix norms
1.8 references and other topics for chapter 1
1.9 questions for chapter 1
2 linear equation solving
2.1 introduction
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