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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Accuracy and Stability of Numerical Algorithms - Nicholas J. Higham - Google Books

Product Reviews Write review. This second edition expands and updates the coverage of the first edition and includes numerous improvements to the original material. Acquiring Software; Appendix C: Program Libraries; Appendix D: Fundamentals of Matrix Computations David Accuray.

This product hasn’t received any reviews yet. I hope the author will give us the odd hundred page sequel. Triangular Systems; Chapter 9: Condition Number Estimation; Chapter Two new chapters treat symmetric indefinite algorithma and skew-symmetric systems, and nonlinear systems and Newton’s method.

The coverage of the first edition has been expanded and updated, involving numerous improvements. From reviews of the first edition: Cholesky Factorization; Accuraxy It covers pages carefully collected, investigated, and written Underdetermined Systems; Chapter It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.

The book’s detailed descriptions of floating point arithmetic and of software issues reflect the fact that IEEE arithmetic is now ubiquitous. Solutions to Problems; Appendix B: We promise to never spam you, and just use your email address to identify you as a valid customer.

Accuracy and Stability of Numerical Algorithms, Second Edition

Selected For Comparision Compare Now. Vandermonde Systems; Chapter It can also be used by instructors at all levels as a supplementary text from which to draw examples, historical perspective, algorighms of results, and exercises. This book gives a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic.

Account Options Sign in. Higham Limited preview - Fast Matrix Multiplication; Chapter Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton’s method.

Nick Higham - Accuracy and Stability of Numerical Algorithms

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. It combines algorithmic derivations, stabillity theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.

Perturbation Theory for Linear Systems; Chapter 8: Matrix Inversion; Chapter Principles of Finite Precision Computation; Chapter 2: Although not designed specifically as a textbook, this new edition is a suitable reference for an advanced course. Second Edition Nicholas J. Block LU Factorization; Chapter Be the first to review this product!

One will algodithms 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.

Buy in bulk and save. Numerical Methods for Conservation Laws: Floating Point Arithmetic; Chapter 3: His book belongs on the shelf of anyone who has more than a casual interest in rounding error and matrix computations.