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Titlebook: Nondifferentiable Optimization: Motivations and Applications; Proceedings of an II Vladimir F. Demyanov,Diethard Pallaschke Conference proc

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书目名称Nondifferentiable Optimization: Motivations and Applications
副标题Proceedings of an II
编辑Vladimir F. Demyanov,Diethard Pallaschke
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Nondifferentiable Optimization: Motivations and Applications; Proceedings of an II Vladimir F. Demyanov,Diethard Pallaschke Conference proc
描述The International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria, has been involved in research on nondifferentiable optimization since 1976. IIASA-based East-West cooperation in this field has been very productive, leading to many important theoretical, algorithmic and applied results. Nondifferentiable optimi­ zation has now become a recognized and rapidly developing branch of mathematical programming. To continue this tradition, and to review recent developments in this field, IIASA held a Workshop on Nondifferentiable Optimization in Sopron (Hungary) in September 1964. The aims of the Workshop were: 1. To discuss the state-of-the-art of nondifferentiable optimization (NDO), its origins and motivation; 2. To compare-various algorithms; 3. To evaluate existing mathematical approaches, their applications and potential; 4. To extend and deepen industrial and other applications of NDO. The following topics were considered in separate sessions: General motivation for research in NDO: nondifferentiability in applied problems, nondifferentiable mathematical models. Numerical methods for solving nondifferentiable optimization problems, numerical experiments, compar
出版日期Conference proceedings 1985
关键词Applications; Optimization Methods; algorithms; cooperation; duality; linear optimization; mathematical pr
版次1
doihttps://doi.org/10.1007/978-3-662-12603-5
isbn_softcover978-3-540-15979-7
isbn_ebook978-3-662-12603-5Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1985
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Attempts to Approximate a Set-Valued Mappinge approximations, and at the same time we show their limitations. The present paper is limited to informal demonstration of concepts and mechanisms. Formal statements and their proofs will be published elsewhere.
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A Nondifferentiable Approach to Multicriteria Optimizationnstraint set . ⊂.. to which the vectors . belong be given. The value of each decision (or the performance of the product) is estimated on the basis of . different scalar-valued criteria (objective functions): .. (.), .∈[1:.]. We shall denote these criteria by .(.) = [..(.),...,.. (.)].
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Application of a Subdifferential of a Convex Composite Functional to Optimal Control in Variational eople, for example Lescarret (1968), Levin (1970), Ioffe-Levin (1972), Valadier (1972), Zowe (1974), Penot (1976), Kutateladze (1977), Hiriart-Urruty (1980), Thera (1981) in a convex framework and Thibault (1980) in a non-convex situation.
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Bundle Methods, Cutting-Plane Algorithms and σ-Newton Directionsly defined as a direction which minimizes this expansion (when f is twice continuously differentiable on a neighborhodd of x and σ = 0, then this direction coincides with the classical Newton direction).
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