Newton algorithm on constraint manifolds and the 5-electron Thomson problem

DOI10.1007/s10957-016-1049-0zbMath1370.49023arXiv1601.04828OpenAlexW2268892363MaRDI QIDQ2363572

Petre Birtea, Dan Comănescu

Publication date: 20 July 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04828

zbMATH Keywords

Morse theoryHessian operatorNewton algorithmconstraint manifold5-electron Thomson problemRiesz \(s\)-energy

Mathematics Subject Classification ID

Newton-type methods (49M15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (6)

Constraint optimization and SU(N) quantum control landscapes ⋮ Thomson problem in one dimension: minimal energy configurations of \(N\) charges on a curve ⋮ Second order optimality on orthogonal Stiefel manifolds ⋮ First order optimality conditions and steepest descent algorithm on orthogonal Stiefel manifolds ⋮ Optimization on the real symplectic group ⋮ Characterization of the critical points for the shear-stretch strain energy of a Cosserat problem

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