Accuracy and Stability of Numerical Algorithms
(Sprache: Englisch)
This book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic.
Leider schon ausverkauft
versandkostenfrei
Buch
84.25 €
Produktdetails
Produktinformationen zu „Accuracy and Stability of Numerical Algorithms “
Klappentext zu „Accuracy and Stability of Numerical Algorithms “
This book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic.
Inhaltsverzeichnis zu „Accuracy and Stability of Numerical Algorithms “
Preface; 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; 11. Symmetric indefinite and skew-symmetric systems; 12. Iterative refinement; 13. Block LU factorization; 14. Matrix inversion; 15. Condition number estimation; 16. The Sylvester equation; 17. Stationary iterative methods; 18. Matrix powers; 19. QR factorization; 20. The least squares problem; 21. Underdetermined systems; 22. Vandermonde systems; 23. Fast matrix multiplication; 24. The fast Fourier transform and applications; 25. Nonlinear systems and Newton's method; 26. Automatic error analysis; 27. Software issues in floating point arithmetic; 28. A gallery of test matrices; Appendices; Bibliography; Name index; Subject index.
Bibliographische Angaben
- Autor: Nicholas J. Higham
- 2 Rev ed, 710 Seiten, mit Abbildungen, Maße: 18,3 x 26 cm, Gebunden, Englisch
- Verlag: Society for Industrial & Applied Mathematics,U.S.
- ISBN-10: 0898715210
- ISBN-13: 9780898715217
- Erscheinungsdatum: 01.08.2002
Sprache:
Englisch
Rezension zu „Accuracy and Stability of Numerical Algorithms “
'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. Kockler, Zentrallblatt fur 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
Kommentar zu "Accuracy and Stability of Numerical Algorithms"
0 Gebrauchte Artikel zu „Accuracy and Stability of Numerical Algorithms“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Accuracy and Stability of Numerical Algorithms".
Kommentar verfassen