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 |  | 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 | doi | https://doi.org/10.1007/978-3-319-58017-3 | isbn_softcover | 978-3-319-86305-4 | isbn_ebook | 978-3-319-58017-3Series ISSN 1571-8689 Series E-ISSN 1876-9896 | issn_series | 1571-8689 | copyright | Springer International Publishing AG 2017 |
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