Accuracy and Stability of Numerical Algorithms - Couverture rigide

Higham, Nicholas J.

 
9780898715217: Accuracy and Stability of Numerical Algorithms
Couverture rigide
ISBN 10 : 0898715210 ISBN 13 : 9780898715217
Editeur : Society for Industrial and Applied Mathematics, 2002

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Nicholas J. Higham is Richardson Professor of Applied Mathematics at the University of Manchester, England. He is the author of more than 80 publications and is a member of the editorial boards of Foundations of Computational Mathematics, the IMA Journal of Numerical Analysis, Linear Algebra and Its Applications, and the SIAM Journal on Matrix Analysis and Applications. His book Handbook of Writing for the Mathematical Sciences (second edition) was published by SIAM in 1998, and his book MATLAB Guide, co-authored with Desmond J. Higham, was published by SIAM in 2000.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Society for Industrial and Applied Mathematics
Date d'édition
2002
Langue
anglais
ISBN 10 
0898715210
ISBN 13 
9780898715217
Reliure
Relié
Numéro d'édition
2
Nombre de pages
710
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780898713558: Accuracy And Stability Of Numerical Algorithms

Edition présentée

ISBN 10 :  0898713552 ISBN 13 :  9780898713558
Editeur : Society for Industrial & App..., 1996
Couverture souple