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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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Main Authors: Akhadkulov, H., Saaban, Azizan, Alipiah, F. M., Jameel, A. F.
Format: Article
Published: IP Publishing LLC 2017
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://repo.uum.edu.my/23296/
http://doi.org/10.1063/1.5012150
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spelling my.uum.repo.232962018-02-15T01:23:08Z http://repo.uum.edu.my/23296/ Estimate for Picard iterations of a Hermitian matrix operator Akhadkulov, H. Saaban, Azizan Alipiah, F. M. Jameel, A. F. QA75 Electronic computers. Computer science 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). IP Publishing LLC 2017 Article PeerReviewed 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 http://doi.org/10.1063/1.5012150 doi:10.1063/1.5012150
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Akhadkulov, H.
Saaban, Azizan
Alipiah, F. M.
Jameel, A. F.
Estimate for Picard iterations of a Hermitian matrix operator
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).
format Article
author Akhadkulov, H.
Saaban, Azizan
Alipiah, F. M.
Jameel, A. F.
author_facet Akhadkulov, H.
Saaban, Azizan
Alipiah, F. M.
Jameel, A. F.
author_sort Akhadkulov, H.
title Estimate for Picard iterations of a Hermitian matrix operator
title_short Estimate for Picard iterations of a Hermitian matrix operator
title_full Estimate for Picard iterations of a Hermitian matrix operator
title_fullStr Estimate for Picard iterations of a Hermitian matrix operator
title_full_unstemmed Estimate for Picard iterations of a Hermitian matrix operator
title_sort estimate for picard iterations of a hermitian matrix operator
publisher IP Publishing LLC
publishDate 2017
url http://repo.uum.edu.my/23296/
http://doi.org/10.1063/1.5012150
_version_ 1644283744528367616
score 13.244413

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