On solving energy-dependent partitioned eigenvalue problem by genetic algorithm: The case of real symmetric Hamiltonian matrices |
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| Authors: | Rahul Sharma Subbajit Nandy S P Bhattacharyya |
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| Institution: | (1) Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, 700 032 Kolkata, India;(2) Present address: Andrew’s High (H.S.) School, 700 031 Kolkata, India |
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| 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 Löwdin’s strategy for solving the problem. The relative advantages and disadvantages of the GA-based method are analyzed |
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| Keywords: | Symmetric eigenvalue problem genetic algorithm partitioning techniques energy-dependent partitioning L?wdin’ s method |
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