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· 제목 : Accuracy and Stability of Numerical Algorithms (Hardcover, 2)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 응용수학
· ISBN : 9780898715217
· 쪽수 : 680쪽
· 출판일 : 2002-08-01
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 응용수학
· ISBN : 9780898715217
· 쪽수 : 680쪽
· 출판일 : 2002-08-01
목차
- List of Figures
- List of Tables
- Preface to Second Edition
- Preface to First Edition
- About the Dedication
- Chapter 1: Principles of Finite Precision Computation
- Chapter 2: Floating Point Arithmetic
- Chapter 3: Basics
- Chapter 4: Summation
- Chapter 5: Polynomials
- Chapter 6: Norms
- Chapter 7: Perturbation Theory for Linear Systems
- Chapter 8: Triangular Systems
- Chapter 9: LU Factorization and Linear Equations
- Chapter 10: Cholesky Factorization
- Chapter 11: Symmetric Indefinite and Skew-Symmetric Systems
- Chapter 12: Iterative Refinement
- Chapter 13: Block LU Factorization
- Chapter 14: Matrix Inversion
- Chapter 15: Condition Number Estimation
- Chapter 16: The Sylvester Equation
- Chapter 17: Stationary Iterative Methods
- Chapter 18: Matrix Powers
- Chapter 19: QR Factorization
- Chapter 20: The Least Squares Problem
- Chapter 21: Underdetermined Systems
- Chapter 22: Vandermonde Systems
- Chapter 23: Fast Matrix Multiplication
- Chapter 24: The Fast Fourier Transform and Applications
- Chapter 25: Nonlinear Systems and Newton’s Method
- Chapter 26: Automatic Error Analysis
- Chapter 27: Software Issues in Floating Point Arithmetic
- Chapter 28: A Gallery of Test Matrices
- Appendix A: Solutions to Problems
- Appendix B: Acquiring Software
- Appendix C: Program Libraries
- Appendix D: The Matrix Computation Toolbox
- Bibliography
- Name Index
- Subject Index.
