Preconditioned gradient flows for nonlinear eigenvalue problems and application to the Hartree-Fock functional

DOI10.1002/num.20347zbMath1166.65039OpenAlexW2130697782MaRDI QIDQ3612514

Christophe Audouze, François Alouges

Publication date: 10 March 2009

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20347

zbMATH Keywords

numerical examplesSchrödinger equationnonlinear eigenvalue problemnumerical stabilityquantum chemistryexponential convergencediagonalizationHartree-Fock equationgradient flows method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Nonlinear ordinary differential operators (34L30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (3)

Energy-adaptive Riemannian optimization on the Stiefel manifold ⋮ Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization ⋮ Convergence Analysis of Direct Minimization and Self-Consistent Iterations

Cites Work

• Solutions of Hartree-Fock equations for Coulomb systems
• A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
• On the convergence of SCF algorithms for the Hartree-Fock equations

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