Estimate for Picard Iterations of a Hermitian Matrix Operator.

The purpose of this paper is to study the Picard iterations of a Hermitian matrix operator. In [1], we proved the existence and uniqueness of attractive fixed point of an operator defined on Hermitian matrix space and satisfying a certain condition. In this paper we show that the n th Picard iterations of that Hermitian matrix operator converges to the fixed point with the rate O(n^-1). [ABSTRACT FROM AUTHOR]