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 iterati...

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Hauptverfasser: Akhadkulov, H., Saaban, A. B., Alipiah, F. M., Jameel, A. F.
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Saaban, A. B.
Alipiah, F. M.
Jameel, A. F.
description 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).
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subjects Fixed points (mathematics)
Picard iterations
title Estimate for Picard iterations of a Hermitian matrix operator
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