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Multivalued Analysis and Nonlinear Programming Problems with Perturbations

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 689/5 ( reviews)

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Book Synopsis Multivalued Analysis and Nonlinear Programming Problems with Perturbations by : B. Luderer

Download or read book Multivalued Analysis and Nonlinear Programming Problems with Perturbations written by B. Luderer. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. In addition, applications to sensitivity analysis of nonlinear programming problems under perturbations are studied. Properties of marginal functions associated with optimization problems are analyzed under quite general constraints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. Nonlinear programming problems involving quasidifferentiable functions are considered as well. A significant part of the results are based on theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov, and have never been published in English before. It contains all the necessary information from multivalued analysis and does not require special knowledge, but assumes basic knowledge of calculus at an undergraduate level.

Multivalued Analysis and Nonlinear Programming Problems with Perturbations

2012-12-05 Mathematics
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Release : 2012-12-05
Genre : Mathematics
Kind : eBook
Book Rating : 690/5 ( reviews)

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Book Synopsis Multivalued Analysis and Nonlinear Programming Problems with Perturbations by : Bernd Luderer

Download or read book Multivalued Analysis and Nonlinear Programming Problems with Perturbations written by Bernd Luderer. This book was released on 2012-12-05. Available in PDF, EPUB and Kindle. Book excerpt:

Nonsmooth Analysis

2007-05-26 Mathematics
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Release : 2007-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 336/5 ( reviews)

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Book Synopsis Nonsmooth Analysis by : Winfried Schirotzek

Download or read book Nonsmooth Analysis written by Winfried Schirotzek. This book was released on 2007-05-26. Available in PDF, EPUB and Kindle. Book excerpt: This book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and then presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed: this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. Each chapter ends with bibliographic notes and exercises.

Optimization and Applications

2021-11-04 Mathematics
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Release : 2021-11-04
Genre : Mathematics
Kind : eBook
Book Rating : 598/5 ( reviews)

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Book Synopsis Optimization and Applications by : Nicholas N. Olenev

Download or read book Optimization and Applications written by Nicholas N. Olenev. This book was released on 2021-11-04. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Optimization and Applications, OPTIMA 2021, held in Petrovac, Montenegro, in September-October 2021. The 22 full and 3 short papers presented were carefully reviewed and selected from 63 submissions. The papers are organized into the following topical sub-headings: mathematical programming, global optimization, discrete and combinatorial optimization, optimal control, optimization and data analysis, and game theory and mathematical economics.

Perturbation Analysis of Optimization Problems

2013-11-22 Mathematics
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Release : 2013-11-22
Genre : Mathematics
Kind : eBook
Book Rating : 940/5 ( reviews)

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Book Synopsis Perturbation Analysis of Optimization Problems by : J.Frederic Bonnans

Download or read book Perturbation Analysis of Optimization Problems written by J.Frederic Bonnans. This book was released on 2013-11-22. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is thus an opportunity for popularizing these techniques among researchers involved in other sciences, including users of optimization in a wide sense, in mechanics, physics, statistics, finance and economics. Of use to research professionals, including graduate students at an advanced level.

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