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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Cholesky Factorization; Chapter Acquiring Software; Appendix C: An expanded treatment of Gaussian highan incorporates rook pivoting, along with a thorough discussion of the choice of pivoting strategy and the effects of scaling. Buy in bulk and save. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton’s method.

From reviews of the first edition: Matrix Inversion; Chapter It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. Solutions to Problems; Appendix B: My library Help Advanced Book Search. Account Options Sign in.

Nick Higham – Accuracy and Stability of Numerical Algorithms

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.

Stationary Iterative Methods; Chapter Perturbation Theory for Linear Systems; Accuraxy 8: Block LU Factorization; Chapter The coverage of the first edition has been expanded and updated, involving numerous improvements.

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But if not, he has more than earned his respite—and our gratitude. Write your review here: 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. Program Libraries; Appendix D: How do you rate this product?

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QR Factorization; Chapter Follow us on Facebook Twitter YouTube. Product Description by Nicholas J. This book gives a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. It covers pages carefully collected, investigated, and written Twelve accurac 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.

Vandermonde Systems; Chapter Fast Matrix Multiplication; Chapter Matrix Powers; Chapter The Least Squares Problem; Chapter Iterative Refinement; Chapter His book belongs on the shelf of anyone who has more than a casual interest in rounding error and matrix computations. Hitotumatu, Mathematical Reviews, Issue 97a. 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.

The coverage of the first Condition Number Estimation; Chapter With its thorough indexes and extensive, up-to-date bibliography, the book provides a mine of information in a readily accessible form.

Be the first to review this product! Higham No preview available – Accuracy and Stability of Numerical Algorithms: The Sylvester Equation; Chapter We promise to never spam you, and just use your email address to identify you as a valid customer.

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Triangular Systems; Chapter 9: Automatic Error Analysis; Chapter Second Edition Nicholas J. It can also be used by instructors at all levels as a supplementary text from which to draw examples, historical perspective, statements of results, and exercises.

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Accuracy and Stability of Numerical Algorithms, Second Edition

This second edition expands and updates the coverage of the first edition and includes numerous improvements to the original material. In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form. Numerical Methods for Conservation Laws: The book’s detailed descriptions of floating point arithmetic and of software issues reflect the fact that IEEE arithmetic is now ubiquitous.

Principles of Finite Precision Computation; Chapter 2: 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.

Floating Point Arithmetic; Chapter 3: