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Verification of semidefinite optimization problems with application to variational electronic structure calculation
Citation Link: https://doi.org/10.15480/882.849
Other Titles
Verifizierung von semidefiniten Optimierungsproblemen und deren Anwendung auf Elektronenstrukturrechnung
Publikationstyp
Doctoral Thesis
Date Issued
2009
Sprache
English
Author(s)
Advisor
Keil, Frerich J.
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2009-06-19
Institut
TORE-DOI
Algorithms for computing lower and upper bounds of global optimal value, as well as enclosures of ε-optimal solutions in semidefinite programming are presented. Suggested verification methods are successfully applied to the electronic structure problem (RDM formulation) to calculate a lower bound of the ground state energy of an N-electron system.
Subjects
semidefinite optimization
verification
interval arithmetic
electronic structure
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Chaykin_Dissertation.pdf
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