Iterative Methods to Solve the Generalized Coupled Sylvester-Conjugate Matrix Equations for Obtaining the Centrally Symmetric (Centrally Antisymmetric) Matrix Solutions
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-07
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The iterative method is presented for obtaining the centrally symmetric (centrally antisymmetric) matrix pair (X,Y) solutions of the generalized coupled Sylvester-conjugate matrix equations A1X+B1Y=D1X¯E1+F1, A2Y+B2X=D2Y¯E2+F2.
On the condition that the coupled matrix equations are consistent, we show that the solution pair (X*,Y*) can be obtained within finite iterative steps in the absence of round-off error for any initial value given centrally symmetric (centrally antisymmetric) matrix.
Moreover, by choosing appropriate initial value, we can get the least Frobenius norm solution for the new generalized coupled Sylvester-conjugate linear matrix equations.
Finally, some numerical examples are given to illustrate that the proposed iterative method is quite efficient.
American Psychological Association (APA)
Xie, Yajun& Ma, Changfeng. 2014. Iterative Methods to Solve the Generalized Coupled Sylvester-Conjugate Matrix Equations for Obtaining the Centrally Symmetric (Centrally Antisymmetric) Matrix Solutions. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-477816
Modern Language Association (MLA)
Xie, Yajun& Ma, Changfeng. Iterative Methods to Solve the Generalized Coupled Sylvester-Conjugate Matrix Equations for Obtaining the Centrally Symmetric (Centrally Antisymmetric) Matrix Solutions. Journal of Applied Mathematics No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-477816
American Medical Association (AMA)
Xie, Yajun& Ma, Changfeng. Iterative Methods to Solve the Generalized Coupled Sylvester-Conjugate Matrix Equations for Obtaining the Centrally Symmetric (Centrally Antisymmetric) Matrix Solutions. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-477816
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477816