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An efficient algorithm for Cholesky decomposition of electron repulsion integrals

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arxiv 1811.12890 v1 pith:VOSHX3B4 submitted 2018-11-30 physics.chem-ph

An efficient algorithm for Cholesky decomposition of electron repulsion integrals

classification physics.chem-ph
keywords algorithmcholeskydecompositionbasisdeterminedallowsapplicationapply
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present an algorithm where only the Cholesky basis is determined in the decomposition procedure. This allows for improved screening and a partitioned matrix decomposition scheme, both of which significantly reduce memory usage and computational cost. After the basis has been determined, an inner projection technique is used to construct the Cholesky vectors. The algorithm extends the application range of the methodology and is well suited for multilevel methods. We apply the algorithm to systems with up to 80000 atomic orbitals.

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