Least Squares Based Iterative Algorithm for the Coupled Sylvester Matrix Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
By analyzing the eigenvalues of the related matrices, the convergence analysis of the least squares based iteration is given for solving the coupled Sylvester equations AX+YB=C and DX+YE=F in this paper.
The analysis shows that the optimal convergence factor of this iterative algorithm is 1.
In addition, the proposed iterative algorithm can solve the generalized Sylvester equation AXB+CXD=F.
The analysis demonstrates that if the matrix equation has a unique solution then the least squares based iterative solution converges to the exact solution for any initial values.
A numerical example illustrates the effectiveness of the proposed algorithm.
American Psychological Association (APA)
Yin, Hongcai& Zhang, Huamin. 2014. Least Squares Based Iterative Algorithm for the Coupled Sylvester Matrix Equations. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-501641
Modern Language Association (MLA)
Yin, Hongcai& Zhang, Huamin. Least Squares Based Iterative Algorithm for the Coupled Sylvester Matrix Equations. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-501641
American Medical Association (AMA)
Yin, Hongcai& Zhang, Huamin. Least Squares Based Iterative Algorithm for the Coupled Sylvester Matrix Equations. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-501641
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501641
