Accuracy and Stability of Numerical Algorithms

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9780898715217: Accuracy and Stability of Numerical Algorithms

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

'This book is a monumental work on the analysis of rounding error and will serve as a new standard textbook on this subject, especially for linear computation.' S. Hitotumatu, Mathematical Reviews

'…This definitive source on the accuracy and stability of numerical algorithms is quite a bargain and a worthwhile addition to the library of any statistician heavily involved in computing.' Robert L. Strawderman, Journal of the American Statistical Association

'…A monumental book that should be on the bookshelf of anyone engaged in numerics, be it as a specialist or as a user.' A. van der Sluis, ITW Nieuws

'This text may become the new 'Bible' about accuracy and stability for the solution of systems of linear equations. It covers 688 pages carefully collected, investigated, and written … One will find that this book is a very suitable and comprehensive reference for research in numerical linear algebra, software usage and development, and for numerical linear algebra courses.' N. Köckler, Zentrallblatt für Mathematik

'… Nick Higham has assembled an enormous amount of important and useful material in a coherent, readable form. His book belongs on the shelf of anyone who has more than a casual interest in rounding error and matrix computations. I hope the author will give us the 600-odd page sequel. But if not, he has more than earned his respite - and our gratitude.' G. W. Stewart, SIAM Review

Descrizione del libro:

This book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. The coverage of the first edition has been expanded and updated, including numerous improvements to the original material. Its thorough indexes and extensive, up-to-date bibliography are in a readily accessible form.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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1.

Higham, Nicholas J.
Editore: Philadelphia, Pennsylvania, U.S.A.: Society for Industrial & Applied (2002)
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro Philadelphia, Pennsylvania, U.S.A.: Society for Industrial & Applied, 2002. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. 2nd Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice libro della libreria ABE-8293786674

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Higham, Nicholas J.
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0898715210. Codice libro della libreria ST0898715210

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Nicholas J. Higham
Editore: Society for Industrial Applied Mathematics,U.S., United States (2003)
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 2003. Hardback. Condizione libro: New. 2nd Revised edition. 259 x 180 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAZ9780898715217

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Nicholas J. Higham
Editore: Society for Industrial Applied Mathematics,U.S., United States (2003)
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 2003. Hardback. Condizione libro: New. 2nd Revised edition. 259 x 180 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAZ9780898715217

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Nicholas J. Higham
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ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro Society for Industrial & Applied Mathematics,U.S. Hardback. Condizione libro: new. BRAND NEW, Accuracy and Stability of Numerical Algorithms (2nd Revised edition), Nicholas J. Higham, 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. Codice libro della libreria B9780898715217

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Higham, Nicholas J.
Editore: SIAM: Society for Industrial and Applied Mathematics (2002)
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro SIAM: Society for Industrial and Applied Mathematics, 2002. Condizione libro: New. This book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. Num Pages: 710 pages, Illustrations. BIC Classification: PBKS; PBW. Category: (P) Professional & Vocational. Dimension: 260 x 183 x 38. Weight in Grams: 1390. 710 pages, Illustrations. This book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. Cateogry: (P) Professional & Vocational. BIC Classification: PBKS; PBW. Dimension: 260 x 183 x 38. Weight: 1402. . 2002. 2nd. Hardcover. . . . . . Codice libro della libreria V9780898715217

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Nicholas J. Higham
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro Hardback. Condizione libro: New. Not Signed; 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 fir. book. Codice libro della libreria ria9780898715217_rkm

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Higham, Nicholas J.
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808987152170000000

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Higham, Nicholas J.
Editore: SIAM: Society for Industrial and Applied Mathematics
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Descrizione libro SIAM: Society for Industrial and Applied Mathematics. Condizione libro: New. This book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. Num Pages: 710 pages, Illustrations. BIC Classification: PBKS; PBW. Category: (P) Professional & Vocational. Dimension: 260 x 183 x 38. Weight in Grams: 1390. 710 pages, Illustrations. This book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. Cateogry: (P) Professional & Vocational. BIC Classification: PBKS; PBW. Dimension: 260 x 183 x 38. Weight: 1402. . 2002. 2nd. Hardcover. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780898715217

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Higham, Nicholas J.
Editore: SIAM: Society for Industrial and Applied Mathematics (2002)
ISBN 10: 0898715210 ISBN 13: 9780898715217
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Descrizione libro SIAM: Society for Industrial and Applied Mathematics, 2002. Hardcover. Condizione libro: New. book. Codice libro della libreria 0898715210

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