Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Society for Industrial and Applied Mathematics; 2nd edition | August 2002 | ISBN-10: 0898715210 | 680 pages | PDF | 8.5 Mb
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.
This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
related link：
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Finite Precision Arithmetic Symmetric Indefinite Systems Squares Problems Perturbation Theory Computer Architectures Least Squares Symmetric Systems Error Bounds Gaussian Elimination Rounding Error Historical Perspective Nonlinear Systems Derivations Mode
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