Diagonalization of a real-symmetric Hamiltonian by genetic algorithm: a recipe based on minimization of Rayleigh quotient

Nandy, Subhajit ; Chaudhury, Pinaki ; Bhattacharyya, S. P. (2004) Diagonalization of a real-symmetric Hamiltonian by genetic algorithm: a recipe based on minimization of Rayleigh quotient Proceedings of the Indian Academy of Sciences - Chemical Sciences, 116 (5). pp. 285-291. ISSN 0253-4134

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Official URL: http://www.ias.ac.in/chemsci/Pdf-Sep2004/285.pdf

Related URL: http://dx.doi.org/10.1007/BF02708279

Abstract

A genetic algorithm-based recipe involving minimization of the Rayleigh quotient is proposed for the sequential extraction of eigenvalues and eigenvectors of a real symmetric matrix with and without basis optimization. Important features of the method are analysed, and possible directions of development suggested.

Item Type:	Article
Source:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Rayleigh Quotient Minimization; Real-symmetric Hamiltonian Eigenvalue Problem; Genetic; Algorithm Based Diagonalisation; Stochastic Diagonalisation
ID Code:	3095
Deposited On:	09 Oct 2010 10:02
Last Modified:	16 May 2016 13:57

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