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Titlebook: Interior Point Methods of Mathematical Programming; Tamás Terlaky Book 19961st edition Kluwer Academic Publishers 1996 algorithms.combinat

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书目名称Interior Point Methods of Mathematical Programming
编辑Tamás Terlaky
视频video
丛书名称Applied Optimization
图书封面Titlebook: Interior Point Methods of Mathematical Programming;  Tamás Terlaky Book 19961st edition Kluwer Academic Publishers 1996 algorithms.combinat
描述One has to make everything as simple as possible but, never more simple. Albert Einstein Discovery consists of seeing what every­ body has seen and thinking what nobody has thought. Albert S. ent_Gyorgy; The primary goal of this book is to provide an introduction to the theory of Interior Point Methods (IPMs) in Mathematical Programming. At the same time, we try to present a quick overview of the impact of extensions of IPMs on smooth nonlinear optimization and to demonstrate the potential of IPMs for solving difficult practical problems. The Simplex Method has dominated the theory and practice of mathematical pro­ gramming since 1947 when Dantzig discovered it. In the fifties and sixties several attempts were made to develop alternative solution methods. At that time the prin­ cipal base of interior point methods was also developed, for example in the work of Frisch (1955), Caroll (1961), Huard (1967), Fiacco and McCormick (1968) and Dikin (1967). In 1972 Klee and Minty made explicit that in the worst case some variants of the simplex method may require an exponential amount of work to solve Linear Programming (LP) problems. This was at the time when complexity theory became a top
出版日期Book 19961st edition
关键词algorithms; combinatorial optimization; complementarity; complexity; global optimization; linear optimiza
版次1
doihttps://doi.org/10.1007/978-1-4613-3449-1
isbn_softcover978-1-4613-3451-4
isbn_ebook978-1-4613-3449-1Series ISSN 1384-6485
issn_series 1384-6485
copyrightKluwer Academic Publishers 1996
The information of publication is updating

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Introduction to the Theory of Interior Point Methodslytic centers and the central path with its properties. To solve the initialization problem we give an embedding of the primal and the dual problem in a skew-symmetric self-dual reformulation that has an obvious initial interior point. Finally, we consider the topic of interior point based sensitivity analysis.
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Implementing Barrier Methods for Nonlinear Programminghod which uses a modified penalty-barrier function. The second uses logarithmic barrier methods to derive a modified version of a sequential quadratic programming algorithm. Implementation issues are discussed for both methods and directions of future research indicated.
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ults in a consistent way.Includes supplementary material: When multiple agents are in a shared environment, there usually exist con­ straints among the possible actions of these agents. A distributed constraint satisfaction problem (distributed CSP) is a problem in which the goal is to find a consis
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