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Titlebook: Interior Point Approach to Linear, Quadratic and Convex Programming; Algorithms and Compl D. Hertog Book 1994 Springer Science+Business Med

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發(fā)表于 2025-3-21 17:15:16 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Interior Point Approach to Linear, Quadratic and Convex Programming
副標題Algorithms and Compl
編輯D. Hertog
視頻videohttp://file.papertrans.cn/472/471042/471042.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Interior Point Approach to Linear, Quadratic and Convex Programming; Algorithms and Compl D. Hertog Book 1994 Springer Science+Business Med
描述This book describes the rapidly developing field of interiorpoint methods (IPMs). An extensive analysis is given of path-followingmethods for linear programming, quadratic programming and convexprogramming. These methods, which form a subclass of interior pointmethods, follow the central path, which is an analytic curve definedby the problem. Relatively simple and elegant proofs for polynomialityare given. The theory is illustrated using several explicit examples.Moreover, an overview of other classes of IPMs is given. It is shownthat all these methods rely on the same notion as the path-followingmethods: all these methods use the central path implicitly orexplicitly as a reference path to go to the optimum. .For specialists in IPMs as well as those seeking an introduction toIPMs. The book is accessible to any mathematician with basicmathematical programming knowledge. .
出版日期Book 1994
關鍵詞Mathematica; Notation; Optimum; algorithms; complexity; linear optimization; optimization; programming; quad
版次1
doihttps://doi.org/10.1007/978-94-011-1134-8
isbn_softcover978-94-010-4496-7
isbn_ebook978-94-011-1134-8
copyrightSpringer Science+Business Media Dordrecht 1994
The information of publication is updating

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發(fā)表于 2025-3-22 00:09:39 | 只看該作者
path-followingmethods: all these methods use the central path implicitly orexplicitly as a reference path to go to the optimum. .For specialists in IPMs as well as those seeking an introduction toIPMs. The book is accessible to any mathematician with basicmathematical programming knowledge. .978-94-010-4496-7978-94-011-1134-8
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r linear programming, quadratic programming and convexprogramming. These methods, which form a subclass of interior pointmethods, follow the central path, which is an analytic curve definedby the problem. Relatively simple and elegant proofs for polynomialityare given. The theory is illustrated usin
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發(fā)表于 2025-3-22 12:31:47 | 只看該作者
Discussion of other IPMs,cription of all these methods. (More detailed survey papers are [45], [55], [138] and [154].) Our aim is to show that all these methods rely on some common notions: they all use the central path somehow, and the search directions are all linear combinations of two characteristic vectors. These comparisons will be carried out in the last section.
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The logarithmic barrier method,led long-, medium-and short-step methods. First, we will give a general framework for the logarithmic barrier method. Then we look at special cases: linear, convex quadratic and smooth convex programming problems respectively.
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The center method,ng-, medium-and short-step methods. First, we will give a general framework for the center method. Then we will give the complexity analysis for linear programming and a class of convex programming problems, respectively. The self-concordance property introduced by Nesterov and Nemirovsky [119] play
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