Hong Mei (ed.); Weiguo Zhang (ed.); Wenfei Fan (ed.); Zili Zhang (ed.); Yihua Huang (ed.); Jiajun Bu (ed.); Yang (ed. Gao Springer (2021) Pehmeäkantinen kirja
Xiangke Liao (ed.); Wei Zhao (ed.); Enhong Chen (ed.); Nong Xiao (ed.); Li Wang (ed.); Yang Gao (ed.); Yinghuan Shi (ed.) Springer (2022) Pehmeäkantinen kirja
Enhong Chen (ed.); Yang Gao (ed.); Longbing Cao (ed.); Fu Xiao (ed.); Yiping Cui (ed.); Rong Gu (ed.); Li Wang (ed.); Cui Springer (2023) Pehmeäkantinen kirja
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.
