ABSTRACT

The Random Mutation Hill Climbing (RMHC), a simple optimization algorithm, has been viewed as a single-parent evolutionary method. The RMHC procedure succeeds probably because it is designed to allow only rather small changes in the "chromosome" at a time, which accumulate over generations to shape the ultimate solution string. P. Dutta and S. P. Bhattacharyya in a sequel to the work just described considered the possibility of exploiting the Simulated Annealing Methods (SAM)-based orthogonality constrained direct search technique to compute the excited state wave functions and energies of a system when the trial space is linear. The method of calculating ground and excited state wavefunctions by invoking the SAM hinges on the construction of an appropriately constrained energy functional and its global minimization by SAM with respect to the parameters in the trial wave function.