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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In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form.

Product Reviews Write review. From reviews of the first edition: Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton’s method.

But if not, he has more than earned his respite—and our gratitude.

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

We promise to never spam you, and just use your email address to identify you as a valid customer. 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.

My library Help Advanced Book Search. Program Libraries; Appendix D: Selected For Comparision Compare Now. Perturbation Theory for Linear Systems; Chapter 8: Watkins Limited preview – 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.

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QR Factorization; Chapter Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Anf method.

His book belongs on the shelf of anyone who has more than a casual interest in rounding error and matrix computations. The book’s detailed descriptions of floating point arithmetic and of software issues reflect the fact that IEEE arithmetic is now ubiquitous.

Condition Number Estimation; Chapter Write your review here: The Least Squares Problem; Chapter The coverage of the first It covers 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.

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.

Accuracy and Stability of Numerical Algorithms, Second Edition

I hope the author will give us the odd hundred page sequel. Iterative Refinement; Chapter Floating Point Arithmetic; Chapter 3: An expanded treatment of Gaussian elimination incorporates rook pivoting, along with a thorough discussion of the choice of pivoting strategy and the effects of scaling.

Stationary Iterative Methods; Chapter Second Edition Nicholas J.

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Be the first to review this product! 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.

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With its thorough indexes and extensive, up-to-date bibliography, the book provides a mine of information in a readily accessible form. This second edition expands and algirithms the coverage of the first edition and includes numerous improvements to the original material. Fundamentals of Matrix Computations David S.

Nick Higham – Accuracy and Stability of Numerical Algorithms

Cholesky Factorization; Chapter Hitotumatu, Mathematical Reviews, Issue 97a. This book gives accurafy thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. Higham Limited preview – Matrix Powers; Chapter Higham No preview available – Vandermonde Systems; Chapter Block LU Factorization; Chapter Although not designed specifically as a textbook, this new edition is a suitable reference for an advanced course.

Numerical Methods for Conservation Laws: Fast Matrix Multiplication; Chapter