Global Optimization Using Interval Analysis

Revised and Expanded
Herausgeber: Hansen, Eldon; Walster, G William

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: CRC Press
• 2nd edition
• Seitenzahl: 520
• Erscheinungstermin: 19. Dezember 2003
• Englisch
• Abmessung: 233mm x 160mm x 29mm
• Gewicht: 807g
• ISBN-13: 9780824740597
• ISBN-10: 0824740599
• Artikelnr.: 21157813

Autorenporträt

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

Inhaltsangabe

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