Utilizing strategies based on conjugate gradients and carefully choosing a suitable coefficient conjugate might lead to the production of exceptional outcomes. In this work, a modified version of the conjugate gradient algorithm reported by Hassan [1] is presented in order to establish that the new technique is globally convergent, under the usual assumptions. This study was carried out in order to verify that the new approach. Hideaki and Yasushi are the ones responsible for writing this article. In order to illustrate how successful the new method is, its performance is evaluated in terms of its capacity to eliminate impulsive noise from photographic images.