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Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies algorithm construction and increases generality of interval arithmetic. This Second Edition contains an up-to-date discussion of interval methods for solving systems of nonlinear equations and global optimization problems. It expands and improves various aspects of its forerunner and features significant new discussions, such as those on the use of consistency methods to enhance algorithm performance. Provided algorithms are guaranteed to find and bound all solutions to these problems despite bounded errors in data, in approximations, and from use of rounded arithmetic.
"I wholeheartedly endorse this important new volume, and recommend its serious study by all who are concerned with global optimization." Ramon Moore, Professor Emeritus of Computer and Information Science, Department of Mathematics, The Ohio State University, Columbus, U.S.A.
| Foreword | |
| Preface | |
| Introduction | p. 1 |
| Interval Numbers and Arithmetic | p. 15 |
| Functions of Intervals | p. 23 |
| Closed Interval Systems | p. 43 |
| Linear Equations | p. 83 |
| Inequalities | p. 107 |
| Taylor Series and Slope Expansions | p. 123 |
| Quadratic Equations and Inequalities | p. 159 |
| Nonlinear Equations of One Variable | p. 167 |
| Consistencies | p. 195 |
| Systems of Nonlinear Equations | p. 237 |
| Unconstrained Optimization | p. 285 |
| Constrained Optimization | p. 323 |
| Inequality Constrained Optimization | p. 343 |
| Equality Constrained Optimization | p. 381 |
| The Full Monty | p. 419 |
| Perturbed Problems and Sensitivity Analysis | p. 433 |
| Miscellany | p. 457 |
| References | p. 463 |
| Index | p. 483 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
ISBN: 9780824740597
ISBN-10: 0824740599
Series: Pure and Applied Mathematics
Audience:
Professional
Format:
Hardcover
Language:
English
Number Of Pages: 728
Published: 1st December 2003
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 22.86 x 15.88
x 2.54
Weight (kg): 0.82
Edition Number: 2
Edition Type: New edition
