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- W4300669211 abstract "Motivated by applications in quantum chemistry and solid state physics, we apply general results from approximation theory and matrix analysis to the study of the decay properties of spectral projectors associated with large and sparse Hermitian matrices. Our theory leads to a rigorous proof of the exponential off-diagonal decay (nearsightedness) for the density matrix of gapped systems at zero electronic temperature in both orthogonal and non-orthogonal representations, thus providing a firm theoretical basis for the possibility of linear scaling methods in electronic structure calculations for non-metallic systems. We further discuss the case of density matrices for metallic systems at positive electronic temperature. A few other possible applications are also discussed." @default.
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- W4300669211 date "2012-03-18" @default.
- W4300669211 modified "2023-09-27" @default.
- W4300669211 title "Decay properties of spectral projectors with applications to electronic structure" @default.
- W4300669211 doi "https://doi.org/10.48550/arxiv.1203.3953" @default.
- W4300669211 hasPublicationYear "2012" @default.
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