Global Optimization Using Interval Analysis

This edition 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. It is shown that proof of existence and uniqueness of solutions can be obtained as a simple byproduct of computing a solution.

Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis, Second Edition simplifies algorithm construction and increases generality of interval arithmetic. Topics include

This book is printed on acid-free paper.

about the authors...

ELDON HANSEN is a consultant based in Los Altos, California, with over 40 years of experience in applied mathematics, computer science, physics, and engineering. He is the author or coauthor of three books and over 100 professional papers. Dr. Hansen received the A.B. (1950) and M.S. (1952) degrees in physics from the University of California, Berkeley, and the Ph.D. degree (1960) in mathematics from Stanford University, California.

G. WILLIAM WALSTER is a researcher with Sun Microsystems Laboratories, Mountain View, California, with over 40 years of experience in applied statistics, numerical analysis, and computing. He is the coauthor of two books and over 50 professional papers. Dr. Walster received the B.A. degree (1963) in psychology from Stanford University, California, and the Ph.D. degree (1968) in applied statistics from the Department of Educational Psychology at the University of Minnesota, Minneapolis.