Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation
Two operations are introduced for complex matrices. In terms of these two operations an infinite series expression is obtained for the unique solution of the Kalman–Yakubovich-conjugate matrix equation. Based on the obtained explicit solution, some iterative algorithms are given for solving this cla...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc.
2011
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/4985 |
| _version_ | 1848744668666265600 |
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| author | Wu, A. Feng, G. Duan, G. Liu, Wan-Quan |
| author_facet | Wu, A. Feng, G. Duan, G. Liu, Wan-Quan |
| author_sort | Wu, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Two operations are introduced for complex matrices. In terms of these two operations an infinite series expression is obtained for the unique solution of the Kalman–Yakubovich-conjugate matrix equation. Based on the obtained explicit solution, some iterative algorithms are given for solving this class of matrix equations. Convergence properties of the proposed algorithms are also analyzed by using some properties of the proposed operations for complex matrices. |
| first_indexed | 2025-11-14T06:05:08Z |
| format | Journal Article |
| id | curtin-20.500.11937-4985 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:05:08Z |
| publishDate | 2011 |
| publisher | Elsevier Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-49852017-09-13T16:09:10Z Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation Wu, A. Feng, G. Duan, G. Liu, Wan-Quan Convergence order Kalman–Yakubovich-conjugate matrix equation Smith iteration Two operations are introduced for complex matrices. In terms of these two operations an infinite series expression is obtained for the unique solution of the Kalman–Yakubovich-conjugate matrix equation. Based on the obtained explicit solution, some iterative algorithms are given for solving this class of matrix equations. Convergence properties of the proposed algorithms are also analyzed by using some properties of the proposed operations for complex matrices. 2011 Journal Article http://hdl.handle.net/20.500.11937/4985 10.1016/j.amc.2010.10.041 Elsevier Inc. restricted |
| spellingShingle | Convergence order Kalman–Yakubovich-conjugate matrix equation Smith iteration Wu, A. Feng, G. Duan, G. Liu, Wan-Quan Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation |
| title | Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation |
| title_full | Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation |
| title_fullStr | Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation |
| title_full_unstemmed | Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation |
| title_short | Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation |
| title_sort | iterative solutions to the kalman-yakubovich-conjugate matrix equation |
| topic | Convergence order Kalman–Yakubovich-conjugate matrix equation Smith iteration |
| url | http://hdl.handle.net/20.500.11937/4985 |