On the solutions to Sylvester‐conjugate periodic matrix equations via iteration
The problem of solving a class of Sylvester‐conjugate periodic matrix equations is investigated in this paper. Utilising conjugate gradient method, an iterative algorithm is provided, from which a matrix sequence can be generated to approximate the unknown matrix of the equation to be solved. Theore...
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| Vydáno v: | IET control theory & applications Ročník 17; číslo 3; s. 307 - 317 |
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| Hlavní autoři: | , , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Stevenage
John Wiley & Sons, Inc
01.02.2023
Wiley |
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| ISSN: | 1751-8644, 1751-8652 |
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| Abstract | The problem of solving a class of Sylvester‐conjugate periodic matrix equations is investigated in this paper. Utilising conjugate gradient method, an iterative algorithm is provided, from which a matrix sequence can be generated to approximate the unknown matrix of the equation to be solved. Theoretical derivation proves that the proposed algorithm is convergent starting from any initial value, and simulation examples show the effectiveness of the proposed algorithm. |
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| AbstractList | Abstract The problem of solving a class of Sylvester‐conjugate periodic matrix equations is investigated in this paper. Utilising conjugate gradient method, an iterative algorithm is provided, from which a matrix sequence can be generated to approximate the unknown matrix of the equation to be solved. Theoretical derivation proves that the proposed algorithm is convergent starting from any initial value, and simulation examples show the effectiveness of the proposed algorithm. The problem of solving a class of Sylvester‐conjugate periodic matrix equations is investigated in this paper. Utilising conjugate gradient method, an iterative algorithm is provided, from which a matrix sequence can be generated to approximate the unknown matrix of the equation to be solved. Theoretical derivation proves that the proposed algorithm is convergent starting from any initial value, and simulation examples show the effectiveness of the proposed algorithm. The problem of solving a class of Sylvester‐conjugate periodic matrix equations is investigated in this paper. Utilising conjugate gradient method, an iterative algorithm is provided, from which a matrix sequence can be generated to approximate the unknown matrix of the equation to be solved. Theoretical derivation proves that the proposed algorithm is convergent starting from any initial value, and simulation examples show the effectiveness of the proposed algorithm. |
| Author | Chang, Rui Han, Mengqi Zhang, Jinhua Zhang, Yanfeng Zhang, Lei Li, Pengxiang |
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| Cites_doi | 10.1016/j.jfranklin.2017.01.004 10.1016/j.camwa.2010.04.029 10.1016/j.automatica.2020.108936 10.1109/TII.2021.3130237 10.1002/acs.3027 10.1002/rnc.4824 10.1109/TII.2022.3163137 10.1016/j.automatica.2013.12.025 10.1002/mma.5596 10.1109/TAC.2011.2158137 10.1109/TAC.2005.854654 10.1016/j.jfranklin.2020.07.042 10.1016/j.jfranklin.2018.07.015 10.1016/j.jfranklin.2019.12.031 10.1109/TSP.2005.862845 10.26599/TST.2019.9010065 10.1002/rnc.4819 10.1016/j.apnum.2021.06.006 10.1016/j.jfranklin.2018.07.045 10.1016/j.jfranklin.2020.11.022 10.1016/j.mcm.2010.06.010 10.1109/LSP.2021.3136504 10.1016/j.aml.2015.08.017 10.1016/j.automatica.2004.05.001 10.1109/TAC.2010.2050713 10.1109/TSMCB.2009.2028871 10.1016/j.automatica.2016.05.024 |
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| SubjectTerms | Algorithms Conjugate gradient method Iterative algorithms Parameter estimation |
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| Title | On the solutions to Sylvester‐conjugate periodic matrix equations via iteration |
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