Horvat, Dražen; Đaković, Zorislav; Živković, Tomislav
(1999)
Selfconsistent field low rank perturbation method.
Croatica Chemica Acta, 72
(4).
pp. 945952.
ISSN 00111643
Abstract
The LRPmethod is applied to the generalized perturbed eigenvalue equation, where the solution of the reference unperturbed equation is known. This method is generalized to the SCF approach. A simple case of rank one perturbation is considered. It is shown that the operation count required to perform a single SCF iteration is of the order O(n(2)), where n is the order of the matrices considered. This operation count is essentially independent of the magnitude of the perturbation. In addition, the number of SCF iterations increases very slowly with the magnitude of the perturbation. The SCF LRP method can be applied to those problems where the rank of the perturbation is relatively small. In particular, it can be applied to localized perturbations, where only a few perturbation matrix elements are nonzero. Such are, for example, substitution of an atom in a molecule by a heteroatom, formation or breaking of a chemical bond, etc.
Item Type: 
Article

Uncontrolled Keywords: 
low rank perturbation; SCF method; generalized eigenvalue equation 
Subjects: 
NATURAL SCIENCES > Chemistry 
Divisions: 
Division of Physical Chemistry 
Projects: 
Project title  Project leader  Project code  Project type 

Istrazivanja statičkih i dinamičkih svojstava molekula  Aleksandar Sabljić  00980605  MZOS 

Depositing User: 
Tomislav Živković

Date Deposited: 
25 Nov 2013 11:56 
Last Modified: 
28 Feb 2014 12:42 
URI: 
http://fulir.irb.hr/id/eprint/1113 
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1113
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