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

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      https://www.ias.ac.in/article/fulltext/pram/066/06/1125-1130

    • Keywords

       

      Symmetric eigenvalue problem; genetic algorithm; partitioning techniques; energy-dependent partitioning; Löwdin’s method

    • 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

    • Author Affiliations

       

      Rahul Sharma1 Subbajit Nandy1 2 S P Bhattacharyya1

      1. Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Kolkata - 700 032, India
      2. Andrew’s High (H.S.) School, Kolkata - 700 031, India
    • Dates

       
  • Pramana – Journal of Physics | News

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