In the present paper, we introduce iterative methods to get positive definite solutions of the equations  (throughout this paper, we abbreviate positive definite solution as PDS). First, the existence of a PDS of the equation  is discussed. Then, we propose through some algorithms, the existence and the rate of convergence of PDS of these equations. The performance and the efficiency of our suggested algorithms are illustrated using some numerical examples.

iterative algorithms, positive definite solutions, conditions of convergence.