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Estimate for Picard iterations of a Hermitian matrix operator

Akhadkulov, H. and Saaban, Azizan and Alipiah, F.M. and Jameel, A. F. (2017) Estimate for Picard iterations of a Hermitian matrix operator. AIP Conference Proceedings, 1905. 030004. ISSN 0094-243X

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Abstract

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).

Item Type: Article
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 15 Feb 2018 01:25
Last Modified: 15 Feb 2018 01:25
URI: https://repo.uum.edu.my/id/eprint/23305

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