Global Optimization Using Interval Analysis: Revised And Expanded

by Eldon Hansen (Editor), G. William Walster (Editor)

Overview

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.

Product Details

ISBN-13:	9780824740597
Publisher:	Taylor & Francis
Publication date:	12/19/2003
Series:	Pure and Applied Mathematics Series , #264
Edition description:	Revised and Expanded
Pages:	520
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Eldon Hansen, Consultant, Los Altos, California. G. William Walster, Sun Microsystems Laboratories , Mountain View, California, U.S.A.

Table of Contents

Foreword Preface 1 INTRODUCTION 2 INTERVAL NUMBERS AND ARITHMETIC 3 FUNCTIONS OF INTERVALS 4 CLOSED INTERVAL SYSTEMS 5 LINEAR EQUATIONS 6 INEQUALITIES 7 TAYLOR SERIES AND SLOPE EXPANSIONS 8 QUADRATIC EQUATIONS AND INEQUALITIES 9 NONLINEAR EQUATIONS OF ONE VARIABLE 10 CONSISTENCIES 11 SYSTEMS OF NONLINEAR EQUATIONS 12 UNCONSTRAINED OPTIMIZATION 13 CONSTRAINED OPTIMIZATION 14 INEQUALITY CONSTRAINED OPTIMIZATION 15 EQUALITY CONSTRAINED OPTIMIZATION 16 THE FULL MONTY 17 PERTURBED PROBLEMS AND SENSITIVITY ANALYSIS 18 MISCELLANY