Convex analysis and nonlinear optimization : theory and examples /
Jonathan M. Borwein and Adrian S. Lewis
- 2nd ed.
- New York Springer 2006
- 310 p.
Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.