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

摘要

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 L??wdin's strategy for solving the problem. The relative advantages and disadvantages of the GA-based method are analyzed.