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Verification of Semidefinite Optimization Problems with Application to Variational Electronic Structure Calculation

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Verification of Semidefinite Optimization Problems with Application to Variational Electronic Structure Calculation (English shop)

Denis Chaykin (Author)

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ISBN-13 (Printausgabe) 386955066X
ISBN-13 (Hard Copy) 9783869550664
ISBN-13 (eBook) 9783736930667
Language English
Page Number 104
Edition 1 Aufl.
Volume 0
Publication Place Göttingen
Place of Dissertation TU Hamburg-Harburg
Publication Date 2009-07-31
General Categorization Dissertation
Departments Mathematics
Informatics
Physics
Engineering
Description

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.