A Novel Iterative Method for Polar Decomposition and Matrix Sign Function
We define and investigate a globally convergent iterative method possessing sixth order of convergence which is intended to calculate the polar decomposition and the matrix sign function. Some analysis of stability and computational complexity are brought forward. The behaviors of the proposed algor...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/649423 |
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| _version_ | 1850224624050110464 |
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| author | F. Soleymani Predrag S. Stanimirović Igor Stojanović |
| author_facet | F. Soleymani Predrag S. Stanimirović Igor Stojanović |
| author_sort | F. Soleymani |
| collection | DOAJ |
| description | We define and investigate a globally convergent iterative method possessing sixth order of convergence which is intended to calculate the polar decomposition and the matrix sign function. Some analysis of stability and computational complexity are brought forward. The behaviors of the proposed algorithms are illustrated by numerical experiments. |
| format | Article |
| id | doaj-art-4f07493ab450459e81dee702e902f9f7 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4f07493ab450459e81dee702e902f9f72025-08-20T02:05:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/649423649423A Novel Iterative Method for Polar Decomposition and Matrix Sign FunctionF. Soleymani0Predrag S. Stanimirović1Igor Stojanović2Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, IranFaculty of Sciences and Mathematics, University of Niš, Visegradska 33, 18000 Niš, SerbiaFaculty of Computer Science, Goce Delčev University, Goce Delčev 89, 2000 Štip, MacedoniaWe define and investigate a globally convergent iterative method possessing sixth order of convergence which is intended to calculate the polar decomposition and the matrix sign function. Some analysis of stability and computational complexity are brought forward. The behaviors of the proposed algorithms are illustrated by numerical experiments.http://dx.doi.org/10.1155/2015/649423 |
| spellingShingle | F. Soleymani Predrag S. Stanimirović Igor Stojanović A Novel Iterative Method for Polar Decomposition and Matrix Sign Function Discrete Dynamics in Nature and Society |
| title | A Novel Iterative Method for Polar Decomposition and Matrix Sign Function |
| title_full | A Novel Iterative Method for Polar Decomposition and Matrix Sign Function |
| title_fullStr | A Novel Iterative Method for Polar Decomposition and Matrix Sign Function |
| title_full_unstemmed | A Novel Iterative Method for Polar Decomposition and Matrix Sign Function |
| title_short | A Novel Iterative Method for Polar Decomposition and Matrix Sign Function |
| title_sort | novel iterative method for polar decomposition and matrix sign function |
| url | http://dx.doi.org/10.1155/2015/649423 |
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