Nonsmooth nonconvex global optimization in a Banach space with a basis

✍ Scribed by A. Balbás; E. Galperin; P. Jiménez Guerra

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 948 KB
• Volume: 48
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2003.10.005

✦ Synopsis

Following paper [1], significant improvements are proposed as concerns the class of problems that can be solved, the quality of the solution, and the numerical impiementability of the method. Optimization is considered in a Banach space over a nonconvex inf-compact, finitely infrobust set for a multivalued nonconvex continuous functional. The iterative method is monotonic and represents generalized variant of setwise descent onto the set of all globM minimizers. A real-life example of the vertical soft landing of an aircraft is considered to illustrate the method. (~) 2004 Elsevier Ltd. All rights reserved.