HIGHAM ACCURACY AND STABILITY OF NUMERICAL ALGORITHMS PDF

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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Triangular Systems; Chapter 9: Underdetermined Systems; Chapter Fundamentals of Matrix Computations David S.

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

Floating Point Arithmetic; Chapter 3: Product Description by Nicholas J. Accuracy and Stability of Numerical Algorithms: Principles of Finite Precision Computation; Chapter 2: How do you rate this product?

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

Follow us on Facebook Twitter YouTube. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations.

With its thorough indexes and extensive, up-to-date bibliography, the book provides a mine of information in a readily accessible form. 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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Iterative Refinement; Chapter Cholesky Factorization; Chapter Product Reviews Write review. The Sylvester Equation; Chapter Matrix Powers; Chapter In addition the thorough indexes and extensive, nunerical bibliography are in a readily accessible form. The coverage of the first edition has been expanded and updated, involving numerous improvements.

Accuracy and Stability of Numerical Algorithms, Second Edition

It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. Although not designed specifically as a textbook, this new edition is a suitable reference for an advanced course. Buy in bulk and save. Vandermonde Systems; 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.

QR Factorization; Chapter The coverage of the first One accuraccy 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. Acquiring Software; Appendix C: We promise to never spam you, and just use your email address to identify you as a valid customer.

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 Fast Matrix Multiplication; Chapter Higham No preview available – Block LU Factorization; Chapter I hope the author will give us the odd hundred page sequel. Watkins Limited preview – 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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But if not, he has more than earned his respite—and our gratitude.

Accuracy and Stability of Numerical Algorithms: Second Edition – Nicholas J. Higham – Google Books

Write your review here: This product hasn’t received any reviews yet. Perturbation Theory for Linear Systems; Chapter 8: Condition Number Estimation; Chapter Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton’s method. This second edition expands and updates the coverage of the first edition and od numerous improvements to the original material.

Program Libraries; Appendix D: It covers pages carefully collected, investigated, and written Be the first to review this product!