书目名称 | Duality Principles in Nonconvex Systems | 副标题 | Theory, Methods and | 编辑 | David Yang Gao | 视频video | | 丛书名称 | Nonconvex Optimization and Its Applications | 图书封面 |  | 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 | 关键词 | Mathematica; applied mathematics; deformation; dynamical systems; engineering mechanics; functional analy | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-3176-7 | isbn_softcover | 978-1-4419-4825-0 | isbn_ebook | 978-1-4757-3176-7Series ISSN 1571-568X | issn_series | 1571-568X | copyright | Springer Science+Business Media Dordrecht 2000 |
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