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Titlebook: Convexity and Duality in Optimization; Proceedings of the S Jacob Ponstein Conference proceedings 1985 Springer-Verlag Berlin Heidelberg 19

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书目名称Convexity and Duality in Optimization
副标题Proceedings of the S
编辑Jacob Ponstein
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Convexity and Duality in Optimization; Proceedings of the S Jacob Ponstein Conference proceedings 1985 Springer-Verlag Berlin Heidelberg 19
描述The analysis and optimization of convex functions have re­ ceived a great deal of attention during the last two decades. If we had to choose two key-words from these developments, we would retain the concept of ~ubdi66~e~ and the duality theo~y. As it usual in the development of mathematical theories, people had since tried to extend the known defi­ nitions and properties to new classes of functions, including the convex ones. For what concerns the generalization of the notion of subdifferential, tremendous achievements have been carried out in the past decade and any rna·· thematician who is faced with a nondifferentiable nonconvex function has now a panoply of generalized subdifferentials or derivatives at his disposal. A lot remains to be done in this area, especially concerning vecto~-valued functions ; however we think the golden age for these researches is behind us. Duality theory has also fascinated many mathematicians since the underlying mathematical framework has been laid down in the context of Convex Analysis. The various duality schemes which have emerged in the re­ cent years, despite of their mathematical elegance, have not always proved as powerful as expected.
出版日期Conference proceedings 1985
关键词Convexity; convex analysis; derivatives; development; duality; linear optimization; network; optimization; p
版次1
doihttps://doi.org/10.1007/978-3-642-45610-7
isbn_softcover978-3-540-15986-5
isbn_ebook978-3-642-45610-7Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1985
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Monotropic Programming: A Generalization of Linear Programming and Network Programming,t popular and indeed the only one that is widely familiar. No doubt this is due its simplicity and ease of application as much as its close connection with computation, which is a property shared with other dualities.
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From Convex to Mixed Programming, a number of cases locally convex topological vector spaces would do as well. Differentiability will be restricted to .. A . is an optimization problem involving two variables, x and u. Differentiability is assumed with respect to x but not with respect to u. Optimality conditions for this type of p
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Research on Teaching; Web Issues,A function is called d. c. if it can be. expressed as a difference of two convex functions. In the present paper we survey the main known results about suuch functions from the viewpoint of Analysis and Optimization.
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Generalized Differentiability / Duality and Optimization for Problems Dealing with Differences of CA function is called d. c. if it can be. expressed as a difference of two convex functions. In the present paper we survey the main known results about suuch functions from the viewpoint of Analysis and Optimization.
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https://doi.org/10.1007/978-3-642-45610-7Convexity; convex analysis; derivatives; development; duality; linear optimization; network; optimization; p
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Students and Web Use: Expectations,t popular and indeed the only one that is widely familiar. No doubt this is due its simplicity and ease of application as much as its close connection with computation, which is a property shared with other dualities.
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