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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With its thorough indexes and extensive, up-to-date bibliography, the book provides a mine of information in a readily accessible form.

It covers pages carefully collected, investigated, and written Cholesky Factorization; Chapter Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton’s method. Stationary Iterative Methods; Chapter In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form.

We promise to never spam you, and just use your email address to identify you as a valid customer. Floating Point Arithmetic; Chapter 3: 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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Accuracy and Stability of Numerical Algorithms, Second Edition

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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Triangular Systems; Chapter 9: Perturbation Numericql for Linear Systems; Chapter 8: 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. How do you rate this product? Principles of Finite Precision Computation; Chapter 2: Accuracy and Stability of Numerical Algorithms: This product hasn’t received any reviews yet.

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. Second Edition Nicholas J.

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

This book gives a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic.

The Least Squares Problem; Chapter 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. Vandermonde Systems; Chapter 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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It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.

Nick Higham – Accuracy and Stability of Numerical Algorithms

Product Description by Nicholas J. This new edition is a suitable reference for an advanced course and can also be used at all levels kf a supplementary text from ov to draw examples, historical perspective, statements of results, and exercises.

Block LU Factorization; Chapter Program Libraries; Appendix D: Fundamentals of Matrix Computations David S. Account Options Sign in. Matrix Inversion; Chapter But if not, he has more than earned his respite—and our gratitude.

The book’s detailed descriptions of floating point arithmetic and of software issues reflect the fact that IEEE arithmetic is now ubiquitous. Higham Limited preview – Higham No preview available – Automatic Error Analysis; Chapter Numerical Methods for Conservation Laws: