dc.date.accessioned | 2018-09-12T10:54:40Z | |
dc.date.available | 2018-09-12T10:54:40Z | |
dc.date.created | 2018-03-31T21:48:53Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Laestadius, Andre Kvaal, Simen . Analysis of the Extended Coupled-Cluster Method in Quantum Chemistry. SIAM Journal on Numerical Analysis. 2018 | |
dc.identifier.uri | http://hdl.handle.net/10852/64658 | |
dc.description.abstract | The mathematical foundation of the so-called extended coupled-cluster method for the solution of the many-fermion Schrödinger equation is here developed. We prove an existence and uniqueness result, both in the full infinite-dimensional amplitude space as well as for discretized versions of it. The extended coupled-cluster method is formulated as a critical point of an energy function using a generalization of the Rayleigh--Ritz principle: the bivariational principle. This gives a quadratic bound for the energy error in the discretized case. The existence and uniqueness results are proved using a type of monotonicity property for the flipped gradient of the energy function. A comparison to the analysis of the standard coupled-cluster method is made, and it is argued that the bivariational principle is a useful tool, both for studying coupled-cluster type methods and for developing new computational schemes in general.
© 2018 Society for Industrial and Applied Mathematics | en_US |
dc.language | EN | |
dc.publisher | Society for Industrial and Applied Mathematics | |
dc.title | Analysis of the Extended Coupled-Cluster Method in Quantum Chemistry | en_US |
dc.title.alternative | ENEngelskEnglishAnalysis of the Extended Coupled-Cluster Method in Quantum Chemistry | |
dc.type | Journal article | en_US |
dc.creator.author | Laestadius, Andre | |
dc.creator.author | Kvaal, Simen | |
cristin.unitcode | 185,15,12,59 | |
cristin.unitname | Teoretisk kjemi | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1576397 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM Journal on Numerical Analysis&rft.volume=&rft.spage=&rft.date=2018 | |
dc.identifier.jtitle | SIAM Journal on Numerical Analysis | |
dc.identifier.doi | http://dx.doi.org/10.1137/17M1116611 | |
dc.identifier.urn | URN:NBN:no-67190 | |
dc.type.document | Tidsskriftartikkel | en_US |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0036-1429 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/64658/2/Laestadius2018.pdf | |
dc.type.version | PublishedVersion | |