A multigrid conjugate residual method for the numerical solution of the Hartree-Fock equation for diatomic molecules

DOI10.1016/0021-9991(92)90272-ZzbMath0744.65088MaRDI QIDQ1184591

Kjell Davstad

Publication date: 28 June 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

iterative proceduremultigrid methodpreconditionerdiatomic moleculesHartree-Fock equationsGauss-Seidel relaxationOrthomin methodmultigrid conjugate residual method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Probabilistic models, generic numerical methods in probability and statistics (65C20) Iterative numerical methods for linear systems (65F10) PDEs in connection with quantum mechanics (35Q40) Applications to the sciences (65Z05)

Related Items (2)

Vectorizable algorithm for the (multicolour) successive overrelaxation method ⋮ A finite difference Hartree-Fock program for atoms and diatomic molecules

Cites Work

• A survey of preconditioned iterative methods for linear systems of algebraic equations
• The multigrid method for accelerated solution of the discretized Schrödinger equation
• A block preconditioned conjugate gradient method for solving high-order finite element matrix equations
• Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
• Multigrid Methods for Differential Eigenproblems
• A numerical study of various algorithms related to the preconditioned conjugate gradient method

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