On solving energy-dependent partitioned eigenvalue problem by genetic algorithm: the case of real symmetric Hamiltonian matrices

Sharma, Rahul ; Nandy, Subbajit ; Bhattacharyya, S. P. (2006) On solving energy-dependent partitioned eigenvalue problem by genetic algorithm: the case of real symmetric Hamiltonian matrices Pramana - Journal of Physics, 66 (6). pp. 1125-1130. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/pramana/v66/p1125/fulltext.pd...

Related URL: http://dx.doi.org/10.1007/BF02708466

Abstract

An energy-dependent partitioning scheme is explored for extracting a small number of eigenvalues of a real symmetric matrix with the help of genetic algorithm. The proposed method is tested with matrices of different sizes (30 × 30 to 1000 × 1000). Comparison is made with Lowdin's strategy for solving the problem. The relative advantages and disadvantages of the GA-based method are analyzed

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Symmetric Eigenvalue Problem; Genetic Algorithm; Partitioning Techniques; Energy-dependent Partitioning; Lowdin's Method
ID Code:3191
Deposited On:11 Oct 2010 10:00
Last Modified:16 May 2016 14:02

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