On the convergence of SCF algorithms for the Hartree-Fock equations
By É. Cancès, C. L. Bris. 2000
153 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c2d882cd303e7743c9250ed163711a29ae3b7ef4
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format (2011, methodology): “In this paper the SCF iteration is the traditional direct inversion in the iterative subspace (DIIS) scheme commonly used in the physical literature [30, 15, 3].”
- Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model (2010, unknown): “[11, 12, 32]).”
- Numerical solution of the Hartree-Fock equation by multilevel tensor-structured methods (2011, unknown): “The multilevel acceleration of DIIS iteration described in Section 5.2.3 leads to stable and fast convergence on fine grid levels.”
- Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances (2012, methodology): “In this case, instead of truncated preconditioned inverse iteration, one can employ the Struncated Krylov subspace-type iteration (the so-called DIIS iteration [9, 82]) applied to the Galerkin system in the problem adapted basis, (see [58]), leading to the numerical cost O(N logN).”