Convergence of gradient-based algorithms for the Hartree-Fock equations

DOI10.1051/m2an/2012008zbMath1269.82008arXiv1109.5473OpenAlexW2065519604MaRDI QIDQ2838586

Antoine Levitt

Publication date: 10 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5473

zbMATH Keywords

Łojasiewicz inequalityHartree-Fock equationsoptimization on manifolds

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Molecular physics (81V55)

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