An finite iterative algorithm for sloving periodic Sylvester bimatrix equations
The problem considered in this paper is to solve periodic Sylvester bimatrix equations. Based on the conjugate gradient method and least squares principle, an iterative algorithm is presented to solve the periodic Sylvester bimatrix equations. We show that the iterative solutions of the algorithm co...
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| Published in | Journal of the Franklin Institute Vol. 357; no. 15; pp. 10757 - 10772 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elmsford
Elsevier Ltd
01.10.2020
Elsevier Science Ltd |
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| Online Access | Get full text |
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| Abstract | The problem considered in this paper is to solve periodic Sylvester bimatrix equations. Based on the conjugate gradient method and least squares principle, an iterative algorithm is presented to solve the periodic Sylvester bimatrix equations. We show that the iterative solutions of the algorithm converge to the exact solutions at finite steps with any initial values. Finally, a numerical example is given to illustrate the validity and efficiency of the iterative algorithm. |
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| AbstractList | The problem considered in this paper is to solve periodic Sylvester bimatrix equations. Based on the conjugate gradient method and least squares principle, an iterative algorithm is presented to solve the periodic Sylvester bimatrix equations. We show that the iterative solutions of the algorithm converge to the exact solutions at finite steps with any initial values. Finally, a numerical example is given to illustrate the validity and efficiency of the iterative algorithm. |
| Author | Lv, Lingling Tang, Shiyu Zhang, Lei |
| Author_xml | – sequence: 1 givenname: Lei surname: Zhang fullname: Zhang, Lei email: zhanglei@henu.edu.cn organization: School of Computer and Information Engineering, Institute of Data and Knowledge Engineering, Henan University, Kaifeng 475004, China – sequence: 2 givenname: Shiyu surname: Tang fullname: Tang, Shiyu email: tsy1548179021@163.com organization: Institute of Electrical Engineering, Zhengzhou University of Science and Technology, Zhengzhou 450064, China – sequence: 3 givenname: Lingling surname: Lv fullname: Lv, Lingling email: lingling_lv@163.com organization: Institute of Electric Power, North China University of Water Resources and Electric Power, Zhengzhou 450011, China |
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| SubjectTerms | Algorithms Conjugate gradient method Exact solutions Finite element analysis Iterative algorithms Iterative methods Nonlinear equations Numerical analysis Studies |
| Title | An finite iterative algorithm for sloving periodic Sylvester bimatrix equations |
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