Numerical Algebra

Content: 
Inside Front Cover, Page 2
Front Matter, Page 3
Copyright, Page 4
Notations and Abbreviations, Pages 7-8
Preface, Pages 9-11
CHAPTER 1 - Manipulation of Vectors and Matrices, Pages 13-15
CHAPTER 2 - Norms of Vectors and Matrices, Pages 16-18
CHAPTER 3 - Induced Norms, Pages 19-28
CHAPTER 4 - The Inversion Problem I: Theoretical Arithmetic, Pages 29-43
CHAPTER 5 - The Inversion Problem II: Practical Computation, Pages 44-52
CHAPTER 6 - The Characteristic Value Problem—Generalities, Pages 53-64
CHAPTER 7 - The Power Method, Deflation, Inverse Iteration, Pages 65-70
CHAPTER 8 - Characteristic Values, Pages 71-82
CHAPTER 9 - Iterative Methods for the Solution of Systems Ax = b, Pages 83-98
CHAPTER 10 - Application: Solution of a Boundary Value Problem, Pages 99-104
CHAPTER 11 - Application: Least Squares Curve Fitting, Pages 105-109
CHAPTER 12 - Singular Value Decomposition and Pseudo-Inverses, Pages 110-115
Solutions to Selected Problems, Pages 117,119-211
Bibliographical Remarks, Pages 212-213
Index, Pages 214-216