Search results for "Density fitting"

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Reduced scaling in electronic structure calculations using Cholesky decompositions

2003

The small numerical rank of the two-electron integral matrix for large molecular systems and large basis sets was demonstrated. Though, the current implementation still requires some improvements on the calculations done in the inner most loop of the decomposition do not exploit the parsity in the Cholesky vectors. With respect to the practical applicability of the presented method an efficient approach to geometrical derivatives was imperative. Such an approach was obtained including certain derivative product functions and decomposing an expanded integral matrix.

PhysicsMolecular electronic statesMolecular electronic states ; Quantum chemistryIntegral matrixGeneral Physics and AstronomyElectronic structureQuantum chemistryUNESCO::FÍSICA::Química físicaPhysics and Astronomy (all)Computational chemistryFock matrixApplied mathematicsDensity fittingPhysical and Theoretical Chemistry:FÍSICA::Química física [UNESCO]ScalingQuantum chemistryCholesky decomposition
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