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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Nick Higham – Accuracy and Stability of Numerical Algorithms

Fundamentals of Matrix Computations David S. Product Description by Nicholas J. This product hasn’t received any reviews yet. The Least Squares Problem; Chapter Write your review here: 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.

Acquiring Software; Appendix C: How do you rate this product? I hope the author will give us the odd hundred page sequel. In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form. It can also be used by instructors at all levels as a supplementary text from which to draw examples, historical perspective, statements of zlgorithms, and exercises.

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

Hitotumatu, Mathematical Reviews, Issue 97a. His book belongs on the shelf of anyone who has more than a casual interest in rounding error and matrix computations.

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Condition Number Estimation; Chapter Floating Point Arithmetic; Chapter 3: This book gives 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, involving numerous improvements.

The Sylvester Equation; Chapter Iterative Refinement; Chapter Automatic Error Analysis; Chapter Accuracy and Stability of Numerical Algorithms: Matrix Powers; Chapter It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.

Second Edition Nicholas J. Block LU Factorization; Chapter Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems highaj Newton’s method.

Accuracy and Stability of Numerical Algorithms, Second Edition

Be the first to review this product! 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. Account Options Sign in. It covers pages carefully collected, investigated, and written Higham Limited preview – Although not designed specifically as a textbook, this new edition is a suitable reference for an advanced course.

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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.

Underdetermined Systems; Chapter Perturbation Theory for Linear Systems; Chapter 8: Matrix Inversion; Chapter But if not, he has more than earned his respite—and our gratitude. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton’s method.

From reviews of the first edition: Hjgham second edition expands and updates the coverage of the first edition and includes numerous improvements to the original material. Stationary Iterative Methods; Chapter