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Global Optimization Using Interval Analysis : Revised And Expanded - Eldon Hansen

Global Optimization Using Interval Analysis

Revised And Expanded

By: Eldon Hansen (Editor), G. William Walster (Editor)

Hardcover Published: 1st December 2003
ISBN: 9780824740597
Number Of Pages: 728

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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
Introductionp. 1
Interval Numbers and Arithmeticp. 15
Functions of Intervalsp. 23
Closed Interval Systemsp. 43
Linear Equationsp. 83
Inequalitiesp. 107
Taylor Series and Slope Expansionsp. 123
Quadratic Equations and Inequalitiesp. 159
Nonlinear Equations of One Variablep. 167
Consistenciesp. 195
Systems of Nonlinear Equationsp. 237
Unconstrained Optimizationp. 285
Constrained Optimizationp. 323
Inequality Constrained Optimizationp. 343
Equality Constrained Optimizationp. 381
The Full Montyp. 419
Perturbed Problems and Sensitivity Analysisp. 433
Miscellanyp. 457
Referencesp. 463
Indexp. 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): 22.9 x 15.2  x 2.54
Weight (kg): 0.81
Edition Number: 2
Edition Type: New edition