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Physics > Chemical Physics
Title: Resolution of the identity approximation applied to PNOF correlation calculations
(Submitted on 31 Dec 2020 (v1), last revised 1 Jan 2021 (this version, v2))
Abstract: In this work, the required algebra to employ the resolution of the identity approximation within Piris Natural Orbital Functional (PNOF) is developed, leading to an implementation named DoNOF-RI. The arithmetic scaling is reduced from fifth-order to fourth-order, and the memory scaling is reduced from fourth-order to third-order, allowing significant computational time savings. After the DoNOF-RI calculation has fully converged, a restart with four-center electron repulsion integrals can be performed to remove the effect of the auxiliary basis set incompleteness, quickly converging to the exact result. The proposed approach has been tested on cycloalkanes and other molecules of general interest to study the numerical results as well as the speed-ups achieved by PNOF7-RI when compared with PNOF7.
Submission history
From: Mario Piris [view email][v1] Thu, 31 Dec 2020 15:40:22 GMT (292kb)
[v2] Fri, 1 Jan 2021 10:22:09 GMT (292kb)
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