Double well potential function and its optimization in the \(N\)-dimensional real space. I

DOI10.3934/jimo.2016073zbMath1362.49015arXiv1410.5925OpenAlexW2781562362WikidataQ57425814 ScholiaQ57425814MaRDI QIDQ2397572

Gang-Xuan Lin, David Yang Gao, Shu-Cherng Fang, Wen-Xun Xing, Ruey-Lin Sheu

Publication date: 22 May 2017

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5925

zbMATH Keywords

double well potentialpolynomial optimizationnon-convex quadratic programminggeneralized Ginzburg-Landau functional

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (6)

Double well potential function and its optimization in the \(N\)-dimensional real space. II ⋮ Toward nonquadratic S-lemma: new theory and application in nonconvex optimization ⋮ Non-quadratic extension of homogeneous S-lemma and its applications in optimization ⋮ A kernel-free double well potential support vector machine with applications ⋮ On the convexity for the range set of two quadratic functions ⋮ On local nonglobal minimum of trust-region subproblem and extension

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• Duality principles in nonconvex systems. Theory, methods and applications
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• Lower Bounds for Generalized Ginzburg--Landau Functionals
• Nonlinear Programming

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