Accuracy and Stability of Numerical Algorithms: Second Edition
This book gives a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. The coverage of the first edition has been expanded and updated, involving numerous improvements. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. 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. 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. In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form.
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Principles of Finite Precision Computation
Floating Point Arithmetic
Perturbation Theory for Linear Systems
The Least Squares Problem
Fast Matrix Multiplication
The Fast Fourier Transform and Applications
Nonlinear Systems and Newtons Method
LU Factorization and Linear Equations
Symmetric Indefinite and SkewSymmetric Systems
Block LU Factorization
Condition Number Estimation
The Sylvester Equation
Stationary Iterative Methods
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Accuracy and Stability of Numerical Algorithms, 2nd edition
Accuracy and Stability of Numerical Algorithms, 2nd edition. Purchase this Book · Purchase this Book. Source. Medium: Hardcover. Year of Publication: 2002 ...
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Accuracy and Stability of Numerical Algorithms. By Nicholas J. Higham. SIAM, Philadelphia, PA, 1996. $39.00. 688 pp., paper. ISBN 0-89871-355-2. ...
Accuracy and Stability of Numerical Algorithms Nicholas J. Higham ...
research on the accuracy and stability of numerical algorithms has continued to. flourish and mature. Our understanding of algorithms has steadily improved, ...
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Accuracy and Stability of Numerical Algorithms - Cambridge ...
Accuracy and Stability of Numerical Algorithms, Nicholas J. Higham, 9780898715217, Cambridge University Press.
www.cambridge.org/ us/ catalogue/ catalogue.asp?isbn=0898715210
Quotes on Accuracy and Stability of Numerical Algorithms
"This definitive source on the accuracy and stability of numerical algorithms is quite a bargain and a worthwhile addition to the library of any ...
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Bibliography of the book "Accuracy and Stability of Numerical ...
Bibliography of the book "Accuracy and Stability of Numerical Algorithms", 2nd edition, by Nicholas J. Higham. This bibliography is a part of the Computer ...
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Nicholas J. Higham
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Network Theory Ltd - Recommended Books on Numerical Programming
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numerical stability: Information and Much More from Answers.com
Nicholas J. Higham, Accuracy and Stability of Numerical Algorithms, Society of Industrial and Applied Mathematics, Philadelphia, 1996. ISBN 0-89871-355-2. ...
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Nathalie Revol's teaching: Master class "Validation in Scientific ...
N. Higham: Accuracy and Stability of Numerical Algorithms, SIAM Press, 2nd edition, 2003. J.-M. Chesneaux et F. Jézéquel: Théorie et pratique de ...
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