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Titlebook: Duality Principles in Nonconvex Systems; Theory, Methods and David Yang Gao Book 2000 Springer Science+Business Media Dordrecht 2000 Mathe

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發(fā)表于 2025-3-21 20:04:26 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Duality Principles in Nonconvex Systems
副標(biāo)題Theory, Methods and
編輯David Yang Gao
視頻videohttp://file.papertrans.cn/284/283319/283319.mp4
叢書(shū)名稱Nonconvex Optimization and Its Applications
圖書(shū)封面Titlebook: Duality Principles in Nonconvex Systems; Theory, Methods and  David Yang Gao Book 2000 Springer Science+Business Media Dordrecht 2000 Mathe
描述Motivated by practical problems in engineering and physics,drawing on a wide range of applied mathematical disciplines, this bookis the first to provide, within a unified framework, a self-containedcomprehensive mathematical theory of duality for general non-convex,non-smooth systems, with emphasis on methods and applications inengineering mechanics. Topics covered include the classical (minimax)mono-duality of convex static equilibria, the beautiful bi-duality indynamical systems, the interesting tri-duality in non-convex problemsand the complicated multi-duality in general canonical systems. Apotentially powerful sequential canonical dual transformation methodfor solving fully nonlinear problems is developed heuristically andillustrated by use of many interesting examples as well as extensiveapplications in a wide variety of nonlinear systems, includingdifferential equations, variational problems and inequalities,constrained global optimization, multi-well phase transitions,non-smooth post-bifurcation, large deformation mechanics, structurallimit analysis, differential geometry and non-convex dynamicalsystems. .With exceptionally coherent and lucid exposition, the work fills a bi
出版日期Book 2000
關(guān)鍵詞Mathematica; applied mathematics; deformation; dynamical systems; engineering mechanics; functional analy
版次1
doihttps://doi.org/10.1007/978-1-4757-3176-7
isbn_softcover978-1-4419-4825-0
isbn_ebook978-1-4757-3176-7Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer Science+Business Media Dordrecht 2000
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沙發(fā)
發(fā)表于 2025-3-21 22:32:21 | 只看該作者
Book 2000al problems and inequalities,constrained global optimization, multi-well phase transitions,non-smooth post-bifurcation, large deformation mechanics, structurallimit analysis, differential geometry and non-convex dynamicalsystems. .With exceptionally coherent and lucid exposition, the work fills a bi
板凳
發(fā)表于 2025-3-22 03:02:20 | 只看該作者
地板
發(fā)表于 2025-3-22 04:48:20 | 只看該作者
5#
發(fā)表于 2025-3-22 09:53:38 | 只看該作者
Duality in Geometrically Linear Systemsrecent monograph by Motreanu and Panagiotopoulos (1999) for details. However, readers who is not interested in these mathematical details can certainly omit this chapter and continue to the next chapter without difficulty.
6#
發(fā)表于 2025-3-22 13:52:37 | 只看該作者
Tri-Duality in Nonconvex Systemsy relation no longer exists. The solutions in these systems are usually not unique. But, by introducing a suitable nonlinear operator A, a generalized framework may still be established for many systems. The resulting triality theory reveals interesting local dualities (see Fig. 3.1, the associated problem is given in Example 3.3).
7#
發(fā)表于 2025-3-22 19:11:44 | 只看該作者
Multi-Duality and Classifications of General Systemssystems and a generalized tri-duality principle is presented in the central part of this section, which plays a core role in this book. Examples from discrete systems and continuum fields are listed. We end up by giving an application for nonconvex systems.
8#
發(fā)表于 2025-3-22 22:18:25 | 只看該作者
Book 2000de, within a unified framework, a self-containedcomprehensive mathematical theory of duality for general non-convex,non-smooth systems, with emphasis on methods and applications inengineering mechanics. Topics covered include the classical (minimax)mono-duality of convex static equilibria, the beaut
9#
發(fā)表于 2025-3-23 04:45:14 | 只看該作者
Innovating: Humans Are Ingenious Animals,y relation no longer exists. The solutions in these systems are usually not unique. But, by introducing a suitable nonlinear operator A, a generalized framework may still be established for many systems. The resulting triality theory reveals interesting local dualities (see Fig. 3.1, the associated problem is given in Example 3.3).
10#
發(fā)表于 2025-3-23 08:11:23 | 只看該作者
Aggregating: Humans Are Social Animals,systems and a generalized tri-duality principle is presented in the central part of this section, which plays a core role in this book. Examples from discrete systems and continuum fields are listed. We end up by giving an application for nonconvex systems.
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