Approximating the Matrix Sign Function Using a Novel Iterative Method

Approximating the Matrix Sign Function Using a Novel Iterative Method

This study presents a matrix iterative method for finding the sign of a square complex matrix. It is shown that the sequence of iterates converges to the sign and has asymptotical stability, provided that the initial matrix is appropriately chosen. Some illustrations are presented to support the the...

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Main Authors: F. Soleymani, P. S. Stanimirović, S. Shateyi, F. Khaksar Haghani
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/105301
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spelling doaj-b6d0af7c18ba4598af965d44257192f22020-11-24T23:27:04ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/105301105301Approximating the Matrix Sign Function Using a Novel Iterative MethodF. Soleymani0P. S. Stanimirović1S. Shateyi2F. Khaksar Haghani3Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranFaculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, SerbiaDepartment of Mathematics and Applied Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranThis study presents a matrix iterative method for finding the sign of a square complex matrix. It is shown that the sequence of iterates converges to the sign and has asymptotical stability, provided that the initial matrix is appropriately chosen. Some illustrations are presented to support the theory.http://dx.doi.org/10.1155/2014/105301
collection DOAJ
language English
format Article
sources DOAJ
author F. Soleymani
P. S. Stanimirović
S. Shateyi
F. Khaksar Haghani
spellingShingle F. Soleymani
P. S. Stanimirović
S. Shateyi
F. Khaksar Haghani
Approximating the Matrix Sign Function Using a Novel Iterative Method
Abstract and Applied Analysis
author_facet F. Soleymani
P. S. Stanimirović
S. Shateyi
F. Khaksar Haghani
author_sort F. Soleymani
title Approximating the Matrix Sign Function Using a Novel Iterative Method
title_short Approximating the Matrix Sign Function Using a Novel Iterative Method
title_full Approximating the Matrix Sign Function Using a Novel Iterative Method
title_fullStr Approximating the Matrix Sign Function Using a Novel Iterative Method
title_full_unstemmed Approximating the Matrix Sign Function Using a Novel Iterative Method
title_sort approximating the matrix sign function using a novel iterative method
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description This study presents a matrix iterative method for finding the sign of a square complex matrix. It is shown that the sequence of iterates converges to the sign and has asymptotical stability, provided that the initial matrix is appropriately chosen. Some illustrations are presented to support the theory.
url http://dx.doi.org/10.1155/2014/105301
work_keys_str_mv AT fsoleymani approximatingthematrixsignfunctionusinganoveliterativemethod
AT psstanimirovic approximatingthematrixsignfunctionusinganoveliterativemethod
AT sshateyi approximatingthematrixsignfunctionusinganoveliterativemethod
AT fkhaksarhaghani approximatingthematrixsignfunctionusinganoveliterativemethod
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