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Titlebook: Interior Point Techniques in Optimization; Complementarity, Sen Benjamin Jansen Book 1997 Springer Science+Business Media Dordrecht 1997 Ap

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樓主
發(fā)表于 2025-3-21 17:14:46 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Interior Point Techniques in Optimization
副標(biāo)題Complementarity, Sen
編輯Benjamin Jansen
視頻videohttp://file.papertrans.cn/472/471045/471045.mp4
叢書名稱Applied Optimization
圖書封面Titlebook: Interior Point Techniques in Optimization; Complementarity, Sen Benjamin Jansen Book 1997 Springer Science+Business Media Dordrecht 1997 Ap
描述Operations research and mathematical programming would not beas advanced today without the many advances in interior point methodsduring the last decade. These methods can now solve very efficientlyand robustly large scale linear, nonlinear and combinatorialoptimization problems that arise in various practical applications.The main ideas underlying interior point methods have influencedvirtually all areas of mathematical programming including: analyzingand solving linear and nonlinear programming problems, sensitivityanalysis, complexity analysis, the analysis of Newton‘s method,decomposition methods, polynomial approximation for combinatorialproblems etc. This book covers the implications of interior techniquesfor the entire field of mathematical programming, bringing togethermany results in a uniform and coherent way. For the topics mentionedabove the book provides theoretical as well as computational results,explains the intuition behind the main ideas, gives examples as wellas proofs, and contains an extensive up-to-date bibliography. ..Audience:. The book is intended for students, researchers andpractitioners with a background in operations research, mathematics,mathematical p
出版日期Book 1997
關(guān)鍵詞Approximation; Newton‘s method; algorithms; calculus; combinatorial optimization; complexity; linear optim
版次1
doihttps://doi.org/10.1007/978-1-4757-5561-9
isbn_softcover978-1-4419-4772-7
isbn_ebook978-1-4757-5561-9Series ISSN 1384-6485
issn_series 1384-6485
copyrightSpringer Science+Business Media Dordrecht 1997
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:18:18 | 只看該作者
Primal-Dual Affine Scaling Methods for Nonlinear Problems,ay an important role in the study of equilibria in, e.g., economics, transportation planning and game-theory. We refer to Cottle et al. [34] and Pang [198] for surveys on complementarity problems. A survey on variational inequalities is provided by Harker and Pang [98].
板凳
發(fā)表于 2025-3-22 00:47:07 | 只看該作者
Computational Results with Affine Scaling Methods,ved in those chapters show themselves in practice. More specifically, we are interested in the effect of correctors as suggested in Section 5.4, in the performance for various orders of scaling as in Section 6.3, as well as in the influence of the step size strategy.
地板
發(fā)表于 2025-3-22 08:34:51 | 只看該作者
5#
發(fā)表于 2025-3-22 12:23:27 | 只看該作者
Book 1997de. These methods can now solve very efficientlyand robustly large scale linear, nonlinear and combinatorialoptimization problems that arise in various practical applications.The main ideas underlying interior point methods have influencedvirtually all areas of mathematical programming including: an
6#
發(fā)表于 2025-3-22 15:38:02 | 只看該作者
1384-6485 last decade. These methods can now solve very efficientlyand robustly large scale linear, nonlinear and combinatorialoptimization problems that arise in various practical applications.The main ideas underlying interior point methods have influencedvirtually all areas of mathematical programming inc
7#
發(fā)表于 2025-3-22 20:22:34 | 只看該作者
Introduction,by Dantzig in 1947 [37] had both a theoretical and practical impact in the field, maybe even initiated it. As direct consequences we mention the development of LP and its extensions [39], network problems and algorithms [56], nonlinear programming (NLP) [146], decomposition schemes [41], complementa
8#
發(fā)表于 2025-3-22 21:22:40 | 只看該作者
The Theory of Linear Programming, strictly complementary solution (Goldman-Tucker’s Theorem [80]). Among others, Balinski and Tucker [14] and Dantzig [39] basically use the simplex method, Farkas Lemma is used by Schrijver [214] and Stoer and Witzgall [222], mathematical induction by Goldman and Tucker [80] and Tucker [234], while
9#
發(fā)表于 2025-3-23 03:31:28 | 只看該作者
Sensitivity Analysis in Linear Programming,nies this way of modeling is used to solve various kinds of practical problems. Applications include transportation problems, production planning, investment decision problems, blending problems, location and allocation problems, among others. Often use is made of some standard code, most of which u
10#
發(fā)表于 2025-3-23 05:41:12 | 只看該作者
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