標(biāo)題: Titlebook: Canonical Duality Theory; Unified Methodology David Yang Gao,Vittorio Latorre,Ning Ruan Book 2017 Springer International Publishing AG 201 [打印本頁(yè)] 作者: Madison 時(shí)間: 2025-3-21 17:20
書(shū)目名稱Canonical Duality Theory影響因子(影響力)
作者: foppish 時(shí)間: 2025-3-21 23:38
1571-8689 ing 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 deforme978-3-319-86305-4978-3-319-58017-3Series ISSN 1571-8689 Series E-ISSN 1876-9896 作者: 膽汁 時(shí)間: 2025-3-22 04:00 作者: 起波瀾 時(shí)間: 2025-3-22 07:27 作者: flamboyant 時(shí)間: 2025-3-22 10:12 作者: CAPE 時(shí)間: 2025-3-22 15:38
Global Optimization Solutions to a Class of Nonconvex Quadratic Minimization Problems with Quadrati in the dual space. An algorithm is proposed to find out the global optimization solutions. Several examples are illustrated to show that the conditions are active and the proposed method is effective.作者: CAPE 時(shí)間: 2025-3-22 20:04 作者: 天空 時(shí)間: 2025-3-22 23:40 作者: Macronutrients 時(shí)間: 2025-3-23 04:02
Complexity of Polytope Volume Computation, algorithm (CDT) is proposed and illustrated by benchmark problems in?topology optimization. Numerical results show that the proposed CDT method produces desired optimal structure without any gray elements. The checkerboard issue in traditional methods is much reduced. Additionally, an open problem 作者: SPALL 時(shí)間: 2025-3-23 08:12
Shridhar B. Devamane,Trupthi Rao in the dual space. An algorithm is proposed to find out the global optimization solutions. Several examples are illustrated to show that the conditions are active and the proposed method is effective.作者: 含糊 時(shí)間: 2025-3-23 11:08 作者: 引水渠 時(shí)間: 2025-3-23 14:57
Advances in Mechanics and Mathematicshttp://image.papertrans.cn/c/image/221335.jpg作者: 專(zhuān)橫 時(shí)間: 2025-3-23 18:08 作者: 笨拙的你 時(shí)間: 2025-3-24 00:14 作者: PALSY 時(shí)間: 2025-3-24 02:22
Thrombosis and Cerebrovascular Diseaseuch that the original nonconvex minimization problem is first reformulated as a convex–concave saddle point optimization problem, which is then solved by a quadratically perturbed primal–dual method. Numerical examples are illustrated. Comparing with the existing results, the proposed algorithm can achieve better performance.作者: LINE 時(shí)間: 2025-3-24 09:57
Michal Kopecky,Marta Vomlelova,Peter Vojtas, but also for solving a wide class of challenging problems from real-world applications. This paper presents a brief review on this theory, its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. Particular emphasis is placed on its作者: 不出名 時(shí)間: 2025-3-24 13:25
Michal Kopecky,Marta Vomlelova,Peter Vojtaslly nonlinear partial differential equations in nonlinear elasticity is able to convert a unified algebraic equation, a complete set of analytical solutions are obtained in dual space for 3-D finite deformation problems governed by generalized neo-Hookean model. Both global and local extremal soluti作者: aggrieve 時(shí)間: 2025-3-24 17:08
Spatiotemporal Co-occurrence Rulesnical duality theory and the associated pure complementary energy principle in nonlinear elasticity proposed by Gao in (Mech Res Commun 26:31–37, 1999, [.], Wiley Encyclopedia of Electrical and Electronics Engineering, 1999, [.], Meccanica 34:169–198, 1999, [.]), we show that the general nonlinear p作者: Mumble 時(shí)間: 2025-3-24 21:42 作者: Reverie 時(shí)間: 2025-3-25 01:34 作者: 無(wú)聊的人 時(shí)間: 2025-3-25 04:47
Anastasia Birillo,Nikita Bobrovhow that if the primal problem and its canonical dual have the same dimension, the triality theory holds strongly in the tri-duality form as it was originally proposed. Otherwise, both the canonical min-max duality and the double-max duality still hold strongly, but the double-min duality holds weak作者: FORGO 時(shí)間: 2025-3-25 10:35 作者: 特征 時(shí)間: 2025-3-25 15:32 作者: 額外的事 時(shí)間: 2025-3-25 16:12 作者: Dislocation 時(shí)間: 2025-3-25 22:43 作者: conservative 時(shí)間: 2025-3-26 00:12
Thrombosis and Cerebrovascular Diseaseuch that the original nonconvex minimization problem is first reformulated as a convex–concave saddle point optimization problem, which is then solved by a quadratically perturbed primal–dual method. Numerical examples are illustrated. Comparing with the existing results, the proposed algorithm can 作者: FIN 時(shí)間: 2025-3-26 05:19
W. Hacke,G. J. Del Zoppo,L. A. Harkerwe propose an interior point potential reduction algorithm based on the solution of the primal–dual total complementarity function. We establish the global convergence result for the algorithm under mild assumptions. Our methodology is quite general and can be applied to several problems which dual 作者: 陳腐的人 時(shí)間: 2025-3-26 10:44
Complexity of Polytope Volume Computation,nciple of minimum total potential energy, this most challenging problem can be formulated as a bi-level mixed integer nonlinear programming problem (MINLP), i.e., for a given deformation, the first-level optimization is a typical linear constrained 0–1 programming problem, while for a given structur作者: Ondines-curse 時(shí)間: 2025-3-26 15:05 作者: 出來(lái) 時(shí)間: 2025-3-26 18:58
Shridhar B. Devamane,Trupthi Raoell known as a trust region subproblem and has been studied extensively for decades. The main challenge is solving the so-called hard case, i.e., the problem has multiple solutions on the boundary of the sphere. By canonical duality-triality theory, this challenging problem is able to be reformulate作者: inflate 時(shí)間: 2025-3-27 00:23 作者: Alienated 時(shí)間: 2025-3-27 03:50
Shridhar B. Devamane,Trupthi Raoience, machine learning, data mining, pattern recognition, computational mechanics, and so on. When the quadratical matrix in the objective function is non-definition, it is very difficult to get the global optimization solutions. There is a very powerful method proposed by David Gao and it is calle作者: 男生如果明白 時(shí)間: 2025-3-27 08:37 作者: 地名表 時(shí)間: 2025-3-27 10:40
Canonical Duality Theory for Solving Nonconvex/Discrete Constrained Global Optimization Problems,ging problems can be reformulated as a unified canonical dual problem (i.e., with zero duality gap) in continuous space, which can be solved easily to obtain global optimal solution. Some basic concepts and general theory in canonical systems are reviewed. Applications to Boolean least squares problems are illustrated.作者: absolve 時(shí)間: 2025-3-27 17:12 作者: Locale 時(shí)間: 2025-3-27 21:45 作者: Encapsulate 時(shí)間: 2025-3-28 00:24
978-3-319-86305-4Springer International Publishing AG 2017作者: monologue 時(shí)間: 2025-3-28 04:09 作者: 散開(kāi) 時(shí)間: 2025-3-28 07:51 作者: 亞麻制品 時(shí)間: 2025-3-28 12:36 作者: 吃掉 時(shí)間: 2025-3-28 18:29 作者: Decibel 時(shí)間: 2025-3-28 21:58 作者: 交響樂(lè) 時(shí)間: 2025-3-29 00:34 作者: gonioscopy 時(shí)間: 2025-3-29 04:10 作者: craving 時(shí)間: 2025-3-29 11:18 作者: Debility 時(shí)間: 2025-3-29 14:14 作者: START 時(shí)間: 2025-3-29 17:40 作者: 毀壞 時(shí)間: 2025-3-29 23:08
,Canonical Primal–Dual Method for Solving Nonconvex Minimization Problems,uch that the original nonconvex minimization problem is first reformulated as a convex–concave saddle point optimization problem, which is then solved by a quadratically perturbed primal–dual method. Numerical examples are illustrated. Comparing with the existing results, the proposed algorithm can 作者: Munificent 時(shí)間: 2025-3-30 01:06 作者: Abominate 時(shí)間: 2025-3-30 04:51 作者: incisive 時(shí)間: 2025-3-30 09:27 作者: 不成比例 時(shí)間: 2025-3-30 16:27 作者: 書(shū)法 時(shí)間: 2025-3-30 18:45
Global Optimal Solution to Quadratic Discrete Programming Problem with Inequality Constraints,inear transformation, the problem is first reformulated as a standard quadratic 0–1 integer programming problem. Then, by the canonical duality theory, this challenging problem is converted to a concave maximization over a convex feasible set in continuous space. It is proved that if this canonical 作者: Suggestions 時(shí)間: 2025-3-30 21:58 作者: 泥土謙卑 時(shí)間: 2025-3-31 04:16
On Minimal Distance Between Two Surfaces, Voisei, C. Zalinescu, Optimization, 60(5), 593–602, 2011). We aim to use the points of view presented in [.] (M.D. Voisei, C. Zalinescu, Optimization, 60(5), 593–602, 2011) to modify the original results and highlight that the consideration of the Gao–Strang total complementary function and the can作者: degradation 時(shí)間: 2025-3-31 07:17
1571-8689 interested in understanding canonical duality theory and app.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, ca作者: Proponent 時(shí)間: 2025-3-31 10:22 作者: 強(qiáng)行引入 時(shí)間: 2025-3-31 13:22
https://doi.org/10.1007/978-3-642-72996-6onverted to a unified concave maximization problem over a convex domain, which can be solved easily under certain conditions. Additionally, a detailed proof for triality theory is provided, which can be used to identify local extremal solutions. Applications are illustrated and open problems are presented.作者: TEN 時(shí)間: 2025-3-31 17:45 作者: In-Situ 時(shí)間: 2025-3-31 22:24
Canonical Duality Theory for Solving Non-monotone Variational Inequality Problems,ense that they have the same set of KKT points. Existence theorem for global optimal solutions is obtained. Based on the canonical duality theory, this dual problem can be solved via well-developed convex programming methods. Applications are illustrated with several examples.作者: 無(wú)思維能力 時(shí)間: 2025-4-1 02:00 作者: 字謎游戲 時(shí)間: 2025-4-1 08:43
Unified Interior Point Methodology for Canonical Duality in Global Optimization,lobal convergence result for the algorithm under mild assumptions. Our methodology is quite general and can be applied to several problems which dual has been formulated with canonical duality theory and shows the possibility of devising efficient interior points methods for nonconvex duality.作者: Dedication 時(shí)間: 2025-4-1 10:59
Michal Kopecky,Marta Vomlelova,Peter Vojtasor nonconvex systems, the ellipticity depends not only on the stored energy, but also on the external force field. Uniqueness is proved based on a generalized quasiconvexity and a generalized ellipticity condition. Application is illustrated for nonconvex logarithm stored energy.作者: PHIL 時(shí)間: 2025-4-1 15:59 作者: Critical 時(shí)間: 2025-4-1 22:34
A Query Language for Workflow Instance Datally, the theoretical results are verified by applications to Monge’s problem. Although the problem is addressed in one-dimensional space, the theory and method can be generalized to solve high-dimensional problems.作者: Grasping 時(shí)間: 2025-4-1 23:47
Analytic Solutions to Large Deformation Problems Governed by Generalized Neo-Hookean Model,or nonconvex systems, the ellipticity depends not only on the stored energy, but also on the external force field. Uniqueness is proved based on a generalized quasiconvexity and a generalized ellipticity condition. Application is illustrated for nonconvex logarithm stored energy.作者: 裂隙 時(shí)間: 2025-4-2 03:07 作者: certitude 時(shí)間: 2025-4-2 07:00
Canonical Duality Method for Solving Kantorovich Mass Transfer Problem,lly, the theoretical results are verified by applications to Monge’s problem. Although the problem is addressed in one-dimensional space, the theory and method can be generalized to solve high-dimensional problems.
