Hilbert-Schmidt approximation problems arising in quantum chemistry

DOI10.1016/0196-8858(84)90008-3zbMath0557.47014OpenAlexW2046588353MaRDI QIDQ762440

Mel Levy, Jerome A. Goldstein

Publication date: 1984

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(84)90008-3

zbMATH Keywords

minimizationnormal operatorHilbert-Schmidt normLöwdin orthogonalizationorthogonalization of molecular orbitals

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30) Quantum equilibrium statistical mechanics (general) (82B10) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Self‐adjoint approximants ⋮ Self‐adjoint approximants ⋮ Unitary approximation

Cites Work

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• Some applications of optimization in matrix theory
• Unitary approximation of positive operators
• Best Approximation of a Normal Operator in the Schatten p-Norm
• Spectral approximants of normal operators
• Some notes on an expansion theorem of Paley and Wiener

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