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Titlebook: Infinite Programming; Proceedings of an In Edward J. Anderson,Andrew B. Philpott Conference proceedings 1985 Springer-Verlag Berlin Heidelb

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發(fā)表于 2025-3-21 16:36:54 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Infinite Programming
副標題Proceedings of an In
編輯Edward J. Anderson,Andrew B. Philpott
視頻videohttp://file.papertrans.cn/465/464642/464642.mp4
叢書名稱Lecture Notes in Economics and Mathematical Systems
圖書封面Titlebook: Infinite Programming; Proceedings of an In Edward J. Anderson,Andrew B. Philpott Conference proceedings 1985 Springer-Verlag Berlin Heidelb
描述Infinite programming may be defined as the study of mathematical programming problems in which the number of variables and the number of constraints are both possibly infinite. Many optimization problems in engineering, operations research, and economics have natural formul- ions as infinite programs. For example, the problem of Chebyshev approximation can be posed as a linear program with an infinite number of constraints. Formally, given continuous functions f,gl,g2, ??? ,gn on the interval [a,b], we can find the linear combination of the functions gl,g2, ... ,gn which is the best uniform approximation to f by choosing real numbers a,xl,x2, ?.. ,x to n minimize a t€ [a,b]. This is an example of a semi-infinite program; the number of variables is finite and the number of constraints is infinite. An example of an infinite program in which the number of constraints and the number of variables are both infinite, is the well-known continuous linear program which can be formulated as follows. T minimize ~ c(t)Tx(t)dt t b(t) , subject to Bx(t) + fo Kx(s)ds x(t) .. 0, t € [0, T] ? If x is regarded as a member of some infinite-dimensional vector space of functions, then this problem is a
出版日期Conference proceedings 1985
關(guān)鍵詞Programming; duality; economics; inequality; optimization
版次1
doihttps://doi.org/10.1007/978-3-642-46564-2
isbn_softcover978-3-540-15996-4
isbn_ebook978-3-642-46564-2Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1985
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Continuity and Asymptotic Behaviour of the Marginal Function in Optimal Control,Consider the following optimal control problem Minimize . subject to
板凳
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Minimum Norm Problems in Normed Vector Lattices,Let {x.}.I be a family of elements of a normed vector space N and let {c.}.I be a corresponding family of real numbers. Fan [3] studied the minimum norm problem: . subject to the linear inequality constraints ..
地板
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Infinite Programming978-3-642-46564-2Series ISSN 0075-8442 Series E-ISSN 2196-9957
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https://doi.org/10.1007/978-3-642-46564-2Programming; duality; economics; inequality; optimization
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On the computation of membrane-eigenvalues by semi-infinite programming methods,ric semi-infinite problem, the parameter of which has to be adapted in such a way that a certain (nonlinear and nondiffe-rentiable) function is minimized. Some numerical methods for achieving this minimization efficiently will be discussed.
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Alternative Theorems for General Complementarity Problems, is to provide reasonably comprehensive results which rely only on the most central existence theorems for variational inequalities on (weakly) compact sets. The alternative theorem is then applied in several different frameworks.
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Nonsmooth Analysis and Optimization for a Class of Nonconvex Mappings,ons with other Lipschitz-type mappings are mentioned and a derivative in the spirit of Clarke’s generalized gradient is presented. Necessary and sufficient optimality conditions are obtained for constrained programming problems whose data functions are order Lipschitz.
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