Springer Advances in Convex Analysis and Global Optimization

Explore recent progress in global optimization algorithms for nonconvex continuous and discrete problems. This academic text examines how convex analysis serves a fundamental role in the analysis and development of these algorithms. Because most nonconvex optimization problems can be described through differences of convex functions and sets, this volume provides essential theoretical and practical perspectives for researchers and students. This book contains proceedings from the conference on Convex Analysis and Global Optimization held in June 2000 at Pythagorion, Samos, Greece. The collection serves to honor the memory of C. Caratheodory (1873-1950) and provides a deep look into the mathematical foundations required for modern optimization. Whether you are studying algorithm development or advanced mathematical analysis, this Springer publication offers valuable insights into the relationship between convex sets and global optimization.