Canonical Duality Theory : Unified Methodology for Multidisciplinary Study / / edited by David Yang Gao, Vittorio Latorre, Ning Ruan
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| Titolo: |
Canonical Duality Theory : Unified Methodology for Multidisciplinary Study / / edited by David Yang Gao, Vittorio Latorre, Ning Ruan
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Edizione: | 1st ed. 2017. |
| Descrizione fisica: | 1 online resource (VIII, 377 p. 67 illus., 60 illus. in color.) |
| Disciplina: | 515.782 |
| Soggetto topico: | Mathematical optimization |
| Mechanics | |
| Optimization | |
| Classical Mechanics | |
| Persona (resp. second.): | GaoDavid Yang |
| LatorreVittorio | |
| RuanNing | |
| Sommario/riassunto: | 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 deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields. . |
| Titolo autorizzato: | Canonical Duality Theory |
| ISBN: | 3-319-58017-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910254286903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Advances in Mechanics and Mathematics, . 1876-9896 ; ; 37