Newton’s Method for the Matrix Nonsingular Square Root
Two new algorithms are proposed to compute the nonsingular square root of a matrix A. Convergence theorems and stability analysis for these new algorithms are given. Numerical results show that these new algorithms are feasible and effective.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/267042 |
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| _version_ | 1849406894772322304 |
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| author | Chun-Mei Li Shu-Qian Shen |
| author_facet | Chun-Mei Li Shu-Qian Shen |
| author_sort | Chun-Mei Li |
| collection | DOAJ |
| description | Two new algorithms are proposed to compute the nonsingular square root
of a matrix A. Convergence theorems and stability analysis for these new algorithms
are given. Numerical results show that these new algorithms are feasible and effective. |
| format | Article |
| id | doaj-art-4618f2f635d84aaeb361cc136adb986a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4618f2f635d84aaeb361cc136adb986a2025-08-20T03:36:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/267042267042Newton’s Method for the Matrix Nonsingular Square RootChun-Mei Li0Shu-Qian Shen1Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaCollege of Science, China University of Petroleum, Qingdao, Shandong 266580, ChinaTwo new algorithms are proposed to compute the nonsingular square root of a matrix A. Convergence theorems and stability analysis for these new algorithms are given. Numerical results show that these new algorithms are feasible and effective.http://dx.doi.org/10.1155/2014/267042 |
| spellingShingle | Chun-Mei Li Shu-Qian Shen Newton’s Method for the Matrix Nonsingular Square Root Journal of Applied Mathematics |
| title | Newton’s Method for the Matrix Nonsingular Square Root |
| title_full | Newton’s Method for the Matrix Nonsingular Square Root |
| title_fullStr | Newton’s Method for the Matrix Nonsingular Square Root |
| title_full_unstemmed | Newton’s Method for the Matrix Nonsingular Square Root |
| title_short | Newton’s Method for the Matrix Nonsingular Square Root |
| title_sort | newton s method for the matrix nonsingular square root |
| url | http://dx.doi.org/10.1155/2014/267042 |
| work_keys_str_mv | AT chunmeili newtonsmethodforthematrixnonsingularsquareroot AT shuqianshen newtonsmethodforthematrixnonsingularsquareroot |