[share_ebook] Accuracy and Stability of Numerical Algorithms - Nicholas J. Higham


Author: Nicholas J. Higham

Date: August, 2002

Pages: 680

Publisher: SIAM: Society for Industrial and Applied Mathematics

Category: Study


Posted on 2012-01-02, by 4bookholic.

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Accuracy and Stability of Numerical Algorithms


Accuracy and Stability of Numerical Algorithms
Nicholas J. Higham | SIAM: Society for Industrial and Applied Mathematics | August, 2002 | 680 pages | English | pdf

This book gives a thorough, up-to-date treatment of the behaviour 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. The coverage of the first edition has been expanded and updated, involving numerous improvements. 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. This new edition is a suitable reference for an advanced course and can also be used at all levels as a supplementary text from which to draw examples, historical perspective, statements of results, and exercises. In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form


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