Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost

dc.contributor.author

Lu, J

dc.contributor.author

Ying, L

dc.date.accessioned

2017-04-26T17:43:12Z

dc.date.available

2017-04-26T17:43:12Z

dc.date.issued

2015-12-01

dc.description.abstract

© 2015 Elsevier Inc.Electron repulsion integral tensor has ubiquitous applications in electronic structure computations. In this work, we propose an algorithm which compresses the electron repulsion tensor into the tensor hypercontraction format with O(nN2logN) computational cost, where N is the number of orbital functions and n is the number of spatial grid points that the discretization of each orbital function has. The algorithm is based on a novel strategy of density fitting using a selection of a subset of spatial grid points to approximate the pair products of orbital functions on the whole domain.

dc.identifier.eissn

1090-2716

dc.identifier.issn

0021-9991

dc.identifier.uri

https://hdl.handle.net/10161/14102

dc.publisher

Elsevier BV

dc.relation.ispartof

Journal of Computational Physics

dc.relation.isversionof

10.1016/j.jcp.2015.09.014

dc.title

Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost

dc.type

Journal article

duke.contributor.orcid

Lu, J|0000-0001-6255-5165

pubs.begin-page

329

pubs.end-page

335

pubs.organisational-group

Chemistry

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.organisational-group

Physics

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.publication-status

Published

pubs.volume

302

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