Foundations of Mathematical Optimization von Diethard Ernst Pallaschke | Convex Analysis without Linearity | ISBN 9789048148004

Foundations of Mathematical Optimization

Convex Analysis without Linearity

von Diethard Ernst Pallaschke und S. Rolewicz
Mitwirkende
Autor / AutorinDiethard Ernst Pallaschke
Autor / AutorinS. Rolewicz
Buchcover Foundations of Mathematical Optimization | Diethard Ernst Pallaschke | EAN 9789048148004 | ISBN 90-481-4800-6 | ISBN 978-90-481-4800-4

Foundations of Mathematical Optimization

Convex Analysis without Linearity

von Diethard Ernst Pallaschke und S. Rolewicz
Mitwirkende
Autor / AutorinDiethard Ernst Pallaschke
Autor / AutorinS. Rolewicz

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.