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On a Cubically Convergent Iterative Method for Matrix Sign

We propose an iterative method for finding matrix sign function. It is shown that the scheme has global behavior with cubical rate of convergence. Examples are included to show the applicability and efficiency of the proposed scheme and its reciprocal.

Detalles Bibliográficos
Autores principales: Sharifi, M., Karimi Vanani, S., Khaksar Haghani, F., Arab, M., Shateyi, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4393939/
https://www.ncbi.nlm.nih.gov/pubmed/25954769
http://dx.doi.org/10.1155/2015/964257
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author Sharifi, M.
Karimi Vanani, S.
Khaksar Haghani, F.
Arab, M.
Shateyi, S.
author_facet Sharifi, M.
Karimi Vanani, S.
Khaksar Haghani, F.
Arab, M.
Shateyi, S.
author_sort Sharifi, M.
collection PubMed
description We propose an iterative method for finding matrix sign function. It is shown that the scheme has global behavior with cubical rate of convergence. Examples are included to show the applicability and efficiency of the proposed scheme and its reciprocal.
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spelling pubmed-43939392015-05-07 On a Cubically Convergent Iterative Method for Matrix Sign Sharifi, M. Karimi Vanani, S. Khaksar Haghani, F. Arab, M. Shateyi, S. ScientificWorldJournal Research Article We propose an iterative method for finding matrix sign function. It is shown that the scheme has global behavior with cubical rate of convergence. Examples are included to show the applicability and efficiency of the proposed scheme and its reciprocal. Hindawi Publishing Corporation 2015 2015-03-29 /pmc/articles/PMC4393939/ /pubmed/25954769 http://dx.doi.org/10.1155/2015/964257 Text en Copyright © 2015 M. Sharifi et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Sharifi, M.
Karimi Vanani, S.
Khaksar Haghani, F.
Arab, M.
Shateyi, S.
On a Cubically Convergent Iterative Method for Matrix Sign
title On a Cubically Convergent Iterative Method for Matrix Sign
title_full On a Cubically Convergent Iterative Method for Matrix Sign
title_fullStr On a Cubically Convergent Iterative Method for Matrix Sign
title_full_unstemmed On a Cubically Convergent Iterative Method for Matrix Sign
title_short On a Cubically Convergent Iterative Method for Matrix Sign
title_sort on a cubically convergent iterative method for matrix sign
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4393939/
https://www.ncbi.nlm.nih.gov/pubmed/25954769
http://dx.doi.org/10.1155/2015/964257
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