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Rayleigh quotient minimization; real-symmetric Hamiltonian eigenvalue problem; genetic; algorithm based diagonalisation; stochastic diagonalisation

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

Subhajit Nandy^{1 2} Pinaki Chaudhury^{1 3} 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
3. Ramakrishna Mission Vidyamandira, Belur Math, Howrah - 711 202, India

Published

September 2004

Manuscript received

6 October 2003

Manuscript revised

17 June 2004