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数值算法的精确性与稳定性-国际著名数学图书-影印版-(第2版)

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作者：汉安著

出版社：清华大学出版社

出版时间：2011-2-1

I S B N：9787302244936

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数值算法的精确性与稳定性-国际著名数学图书-影印版-(第2版)

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数值算法的精确性与稳定性-国际著名数学图书-影印版-(第2版)

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Accuracy and Stability of Numerical Algorithms，Second Edition（数值算法的精确性与稳定性第2版）（国际著名数学图书——影印版）

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数值算法的精确性与稳定性(第2版)(英文影印版)

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数值算法的精确性与稳定性（影印版）（第2版）

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66.40元

数值算法的精确性与稳定性-国际著名数学图书-影印版-(第2版)

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数值算法的精确性与稳定性(第2版国际著名数学图书影印版)

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内容简介

accuracy and stability of numericalalgorithms gives a thorough, up-to-date treatment of the behaviorof numerical algorithms in finite precision arithmetic. it combinesalgorithmic derivations, perturbation theory, and rounding erroranalysis, all enlivened by historical perspective and informativequotations.
　　 this second edition expands and updates the coverage of thefirst edition (1996) and includes numerous improvements to theoriginal material. two new chapters treat symmetric indefinitesystems and skew-symmetric systems, and nonlinear systems andnewton's method. twelve new sections include coverage of additionalerror bounds for gaussian elimination, rank revealing lufactorizations, weighted and constrained least squares problems,and the fused multiply-add operation found on some modern computerarchitectures. although not designed specifically as a textbook,this new edition is a suitable reference for an advanced course. itcan also be used by instructors at all levels as a supplementarytext from which to draw examples, historical perspective,statements of results, and exercises.

作者简介

Nicholas J. Higham is Richardson Professorof Applied Mathematics at the University of Manchester, England. Heis the author of more than 80 publications and is a member of theeditorial boards of Foundations of Computational Mathematics, theIMA Journal of Numerical Analysis, Linear Algebra and ItsApplications, and the SIAM Journal on Matrix Analysis andApplications.

list of figures
list of tables
preface to second edition
preface to first edition
about the dedication
1 principles of finite precision computation
2 floating point arithmetic
3 basics
4 summation
5 polynomials
6 norms
7 perturbation theory for linear systems
8 triangular systems
9 lu factorization and linear equations
10 cholesky factorization