Abstract
In this paper, first anew modified classical conjugate gradient CG method is proposed by deriving a new conjugancy coefficient based on three terms direction, the sufficient descent and the global conjugancy properties are proved. Second: One of the flock algorithms was hybridized which is the particle flock PSO algorithm with a modified conjugate gradient method. The modified PSO Algorithm is normalize the initialization the best by modified CG Algorithm. The numerical results on test functions showed the efficiency of the hybrid algorithm on each of PSO and CG original algorithms. Third: the hybrid algorithm was also used in image processing, by which it was able to estimate image parameter distribution represented by Gibbs random distribution. The estimated parameters was also used in the hybrid algorithm in restoring images and the results were very encouraging.
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