{"product_id":"accuracy-and-stability-of-numerical-algorithms-hardback-9780898715217","title":"Accuracy and Stability of Numerical Algorithms (Hardback) 9780898715217","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAccuracy and Stability of Numerical Algorithms\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book provides a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eNicholas J. Higham (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898715217, Society for Industrial and Applied Mathematics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 1 August 2002\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e710 pages\u003cbr\u003e26 x 18.1 x 3.7 cm, 1.39 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… 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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Principles of finite precision computation\u003cbr\u003e 2. Floating point arithmetic\u003cbr\u003e 3. Basics\u003cbr\u003e 4. Summation\u003cbr\u003e 5. Polynomials\u003cbr\u003e 6. Norms\u003cbr\u003e 7. Perturbation theory for linear systems\u003cbr\u003e 8. Triangular systems\u003cbr\u003e 9. LU factorization and linear equations\u003cbr\u003e 10. Cholesky factorization\u003cbr\u003e 11. Symmetric indefinite and skew-symmetric systems\u003cbr\u003e 12. Iterative refinement\u003cbr\u003e 13. Block LU factorization\u003cbr\u003e 14. Matrix inversion\u003cbr\u003e 15. Condition number estimation\u003cbr\u003e 16. The Sylvester equation\u003cbr\u003e 17. Stationary iterative methods\u003cbr\u003e 18. Matrix powers\u003cbr\u003e 19. QR factorization\u003cbr\u003e 20. The least squares problem\u003cbr\u003e 21. Underdetermined systems\u003cbr\u003e 22. Vandermonde systems\u003cbr\u003e 23. Fast matrix multiplication\u003cbr\u003e 24. The fast Fourier transform and applications\u003cbr\u003e 25. Nonlinear systems and Newton's method\u003cbr\u003e 26. Automatic error analysis\u003cbr\u003e 27. Software issues in floating point arithmetic\u003cbr\u003e 28. A gallery of test matrices\u003cbr\u003e Appendices\u003cbr\u003e Bibliography\u003cbr\u003e Name index\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Numerical analysis [\u003ca title=\"See our other books on Numerical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Numerical%20analysis%20%5BPBKS%5D%22\"\u003ePBKS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Society for Industrial and Applied Mathematics","offers":[{"title":"Brand New","offer_id":52475003011352,"sku":"9780898715217","price":63.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898715217.jpg?v=1785803197","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/accuracy-and-stability-of-numerical-algorithms-hardback-9780898715217","provider":"Freshly Printed Books","version":"1.0","type":"link"}