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Accuracy and Stability of Numerical Algorithms by Nicholas J. Higham is a nonfiction available to read on EtoBox.

What is Accuracy and Stability of Numerical Algorithms about?

What is the most accurate way to sum floating point numbers? What are the advantages of IEEE arithmetic? How accurate is Gaussian elimination and what were the key breakthroughs in the development of error analysis for the method? The answers to these and many related questions are included here.This book 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. Software practicalities are emphasized throughout, with particular reference to LAPACK and MATLAB. The best available error bounds, some of them new, are presented in a unified format with a minimum of jargon. Because of its central role in revealing problem sensitivity and providing error bounds, perturbation theory is treated in detail.Historical perspective and insight are given, with particular reference to the fundamental work of Wilkinson and Turing, and the many quotations provide further information in an accessible format.The book is unique in that algorithmic developments and motivations are given succinctly and implementation details minimized, so that attention can be concen

Who reads Accuracy and Stability of Numerical Algorithms?

Author

Nicholas J. Higham

Publisher

SIAM: Society for Industrial and Applied Mathematics

Published

2002

Language

EN

ISBN

9780898715217

Category

nonfiction

Subjects

Mathematics, Computer Science, Stem