Bernd Luderer
Multivalued Analysis and Nonlinear Programming Problems with Perturbations - Nonconvex Optimization and Its Applications Bernd Luderer 1st Ed. Softcover of Orig. Ed. 2003 edition

Name: Multivalued Analysis and Nonlinear Programming Problems with Perturbations - Nonconvex Optimization and Its Applications
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Author: Bernd Luderer

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Hardcover Book

2003 edition

(2002) 元 730

Multivalued Analysis and Nonlinear Programming Problems with Perturbations - Nonconvex Optimization and Its Applications

Bernd Luderer

1st Ed. Softcover of Orig. Ed. 2003 edition

This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume.

210 pages, biography

介质类型	图书 Paperback Book (平装胶订图书)
已发行	2010年12月10日
ISBN13	9781441952363
出版商	Springer-Verlag New York Inc.
页数	210
商品尺寸	155 × 235 × 12 mm · 317 g
语言	英语