Foundations Of Mathematical Optimization
Download Foundations Of Mathematical Optimization PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Foundations Of Mathematical Optimization book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Foundations of Optimization
Author: Osman Güler
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-08-03
This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.
Foundations of Mathematical Optimization
Author: Diethard Ernst Pallaschke
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-14
Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for this publication. In the following chapters optimization in infinite topological and normed vector spaces is considered. The novelty consists in using the drop property for weak well-posedness of linear problems in Banach spaces and in a unified approach (by means of the Dolecki approximation) to necessary conditions of optimality. The method of reduction of constraints for sufficient conditions of optimality is presented. The book contains an introduction to non-differentiable and vector optimization. Audience: This volume will be of interest to mathematicians, engineers, and economists working in mathematical optimization.