"In Householder, using Weissinger's identity , obtained the necessary and sufficient conditions for the c onvergence of the Seidel method for the solution of finite matrix equations of the form (D-S-S*-F)u = f. The same coniditions were also obtained by Krein and Prozorovakaya for an analog of the Seidel method for the operator equations of the form (D+S+S*)u = f in a Hilbert space. The purpose of this article is to extend the result of the above authors to the generalized overrelaxation iterative method for the solution of a wider class of of operator equations in a Hilbert space."