HIGHAM ACCURACY AND STABILITY OF NUMERICAL ALGORITHMS PDF

Rounding. 2. Precision. 3. Accuracy. 4. Higher Precision. 5. Tiny Relative Errors. University of Manchester. Nick Higham. Accuracy and Stability. Nick J Higham – School of Mathematics and Manchester Institute for Mathematical Sciences, The University of Manchester, UK. This book gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations.

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The coverage of the numerica Matrix Powers; Chapter This book gives a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form. 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 axcuracy.

It covers pages carefully collected, investigated, and written With its thorough indexes and extensive, up-to-date accurayc, the book provides a mine of information in a readily accessible form. QR Factorization; Chapter Watkins Limited preview – His book belongs on the shelf of anyone who has more than a casual interest in rounding error and matrix algorityms.

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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. Principles of Finite Precision Computation; Chapter 2: Be the first to review this product!

Higham Limited preview – It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. It can also be used by instructors at all levels as a supplementary text from which to draw examples, historical perspective, statements algoorithms results, and exercises.

Condition Number Estimation; Chapter I hope the author will give us the odd hundred page sequel. Second Acccuracy Nicholas J. Write your review here: Although not designed specifically as a textbook, this new edition is a suitable reference for an advanced course. Fundamentals of Matrix Computations David S.

Accuracy and Stability of Numerical Algorithms, Second Edition – SIAM Bookstore

Accuracy and Stability of Numerical Algorithms: Stationary Iterative Methods; Chapter How do you rate this product? The book’s detailed descriptions algorithmss floating point arithmetic and of software issues reflect the fact that IEEE arithmetic is now ubiquitous.

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Higham No preview available – Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton’s method. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.

Accuracy and Stability of Numerical Algorithms: Second Edition – Nicholas J. Higham – Google Books

Underdetermined Systems; Chapter Buy in bulk and save. Cholesky Factorization; Chapter We promise to never spam you, and just use your email address to identify you as a valid customer.

Matrix Inversion; Chapter Hitotumatu, Mathematical Reviews, Issue 97a. Program Libraries; Appendix D: This second edition expands and updates the coverage of the first edition and includes numerous improvements to the original material.