Optimization and Nonsmooth Analysis

Develops a general theory of nonsmooth analysis and geometry together with a set of associated techniques.

Frank H. Clarke (Author)

9780898712568, Society for Industrial and Applied Mathematics

Paperback / softback, published 1 January 1987

320 pages
22.8 x 15.2 x 1.4 cm, 0.43 kg

Mathematical Reviews said of this book that it was 'destined to become a classical reference.' This book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together with a set of associated techniques, has had a profound effect on several branches of analysis and optimization. Clarke then applies these methods to obtain a powerful, unified approach to the analysis of problems in optimal control and mathematical programming. Examples are drawn from economics, engineering, mathematical physics, and various branches of analysis in this reprint volume.

1. Introduction and Preview
2. Generalized Gradients
3. Differential Inclusions
4. The Calculus of Variations
5. Optimal Control
6. Mathematical Programming
7. Topics in Analysis.

Subject Areas: Applied mathematics [PBW], Optimization [PBU]