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Titlebook: Semi-Infinite Programming; Rembert Reemtsen,Jan-J. Rückmann Book 1998 Springer Science+Business Media Dordrecht 1998 Analysis.Optimality C

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书目名称Semi-Infinite Programming
编辑Rembert Reemtsen,Jan-J. Rückmann
视频video
丛书名称Nonconvex Optimization and Its Applications
图书封面Titlebook: Semi-Infinite Programming;  Rembert Reemtsen,Jan-J. Rückmann Book 1998 Springer Science+Business Media Dordrecht 1998 Analysis.Optimality C
描述Semi-infinite programming (briefly: SIP) is an exciting part of mathematical programming. SIP problems include finitely many variables and, in contrast to finite optimization problems, infinitely many inequality constraints. Prob­ lems of this type naturally arise in approximation theory, optimal control, and at numerous engineering applications where the model contains at least one inequality constraint for each value of a parameter and the parameter, repre­ senting time, space, frequency etc., varies in a given domain. The treatment of such problems requires particular theoretical and numerical techniques. The theory in SIP as well as the number of numerical SIP methods and appli­ cations have expanded very fast during the last years. Therefore, the main goal of this monograph is to provide a collection of tutorial and survey type articles which represent a substantial part of the contemporary body of knowledge in SIP. We are glad that leading researchers have contributed to this volume and that their articles are covering a wide range of important topics in this subject. It is our hope that both experienced students and scientists will be well advised to consult this volume. We
出版日期Book 1998
关键词Analysis; Optimality Conditions; Optimization Theory; Signal; Wavelet; linear optimization; numerical meth
版次1
doihttps://doi.org/10.1007/978-1-4757-2868-2
isbn_softcover978-1-4419-4795-6
isbn_ebook978-1-4757-2868-2Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer Science+Business Media Dordrecht 1998
The information of publication is updating

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A Comprehensive Survey of Linear Semi-Infinite Optimization Theoryhe first part is devoted to existence theorems and geometrical properties of the solution set of a linear semi-infinite system. The second part concerns optimality conditions, geometrical properties of the optimal set and duality theory. Finally, the third part analyzes the well-posedness of the lin
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Numerical Methods for Semi-Infinite Programming: A Survey level sets, discretization, and local reduction are presented in a primary section. References to algorithms for real and complex continuous Chebyshev approximation are given for historical reasons and in order to point out connections.
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Connections between Semi-Infinite and Semidefinite Programmingnterior-point methods. In this paper we discuss semidefinite optimization from this perspective and illustrate the connections between semidefinite optimization and semi-infinite programming with examples and applications from computational geometry, statistics, and systems and control.
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Reliability Testing and Semi-Infinite Linear Programminge number of component tests which guarantees component reliabilities with a certain level of confidence. Another approach is to test the system as a whole, and base the test plans on the desired value of system reliability. Both approaches have advantages and disadvantages. There is also a third met
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