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

Floating Point Arithmetic; Chapter algorjthms Vandermonde Systems; Chapter Perturbation Theory for Linear Systems; Chapter 8: Account Options Sign in. The book’s detailed descriptions of floating point arithmetic and of software issues reflect the fact that IEEE arithmetic is now ubiquitous.

Although not designed specifically as a textbook, this new edition is a suitable reference for an advanced course.

It combines algortihms derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. It covers pages carefully collected, investigated, and written 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.


Nick Higham – Accuracy and Stability of Numerical Algorithms

The coverage of the first edition has been expanded and updated, involving numerous improvements. My library Help Advanced Book Search. 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.

Matrix Powers; Chapter I hope the author will give us the odd hundred page sequel. QR Factorization; Chapter The Sylvester Equation; Chapter This second edition expands and updates the coverage of the first edition and includes numerous improvements to the original material. Write your review here: In numefical the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form.

It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical jigham and informative quotations. Second Edition Nicholas J. Be the first to review this product!

The Least Squares Problem; Chapter Condition Number Estimation; Chapter Higham Limited preview – Fast Matrix Multiplication; Chapter Program Libraries; Appendix D: Iterative Refinement; Chapter Cholesky Factorization; Chapter Follow us on Facebook Twitter YouTube.

How do you rate this product? His book belongs on the shelf of anyone who has more than a casual interest in rounding error and matrix computations.


Accuracy and Stability of Numerical Algorithms, Second Edition

numerica Block LU Factorization; Chapter Automatic Error Analysis; Chapter 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. Matrix Inversion; Chapter Accuracy and Stability of Numerical Algorithms: With its thorough indexes and extensive, up-to-date bibliography, the book provides a mine of information in a readily accessible form.

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

Selected For Comparision Compare Now. Numerical Methods for Conservation Laws: Fundamentals of Matrix Computations David S. Acquiring Software; Appendix C: