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Titlebook: Canonical Duality Theory; Unified Methodology David Yang Gao,Vittorio Latorre,Ning Ruan Book 2017 Springer International Publishing AG 201

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发表于 2025-3-21 17:20:49 | 显示全部楼层 |阅读模式
书目名称Canonical Duality Theory
副标题Unified Methodology
编辑David Yang Gao,Vittorio Latorre,Ning Ruan
视频video
概述Provides a comprehensive review of the origin, foundation, and application of canonical duality theory.Perfect for researchers and students interested in understanding canonical duality theory and app
丛书名称Advances in Mechanics and Mathematics
图书封面Titlebook: Canonical Duality Theory; Unified Methodology  David Yang Gao,Vittorio Latorre,Ning Ruan Book 2017 Springer International Publishing AG 201
描述.This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory’s role in bridging the gap between non-convex analysis/mechanics and global optimization. .With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deforme
出版日期Book 2017
关键词Canonical Duality Theory; Global Optimization; Solid Mechanics; non-convex analysis; post-buckling analy
版次1
doihttps://doi.org/10.1007/978-3-319-58017-3
isbn_softcover978-3-319-86305-4
isbn_ebook978-3-319-58017-3Series ISSN 1571-8689 Series E-ISSN 1876-9896
issn_series 1571-8689
copyrightSpringer International Publishing AG 2017
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1571-8689 ing challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deforme978-3-319-86305-4978-3-319-58017-3Series ISSN 1571-8689 Series E-ISSN 1876-9896
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Global Optimization Solutions to a Class of Nonconvex Quadratic Minimization Problems with Quadrati in the dual space. An algorithm is proposed to find out the global optimization solutions. Several examples are illustrated to show that the conditions are active and the proposed method is effective.
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Complexity of Polytope Volume Computation, algorithm (CDT) is proposed and illustrated by benchmark problems in topology optimization. Numerical results show that the proposed CDT method produces desired optimal structure without any gray elements. The checkerboard issue in traditional methods is much reduced. Additionally, an open problem
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Shridhar B. Devamane,Trupthi Rao in the dual space. An algorithm is proposed to find out the global optimization solutions. Several examples are illustrated to show that the conditions are active and the proposed method is effective.
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