Title
Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices
Abstract
The paper studies the iterative solutions of the generalized coupled Sylvester transpose matrix equations over the reflexive (anti-reflexive) matrix group by the generalized conjugate direction algorithm. The convergence analysis shows that the solution group can be obtained within finite iterative steps in the absence of round-off errors for any initial given reflexive (anti-reflexive) matrix group. Furthermore, we can get the minimum-norm solution group by choosing special kinds of initial matrix group. Finally, some numerical examples are given to demonstrate the algorithm considered is quite effective in actual computation.
Year
DOI
Venue
2022
10.1016/j.jfranklin.2022.07.005
Journal of the Franklin Institute
DocType
Volume
Issue
Journal
359
13
ISSN
Citations 
PageRank 
0016-0032
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Jingjing Hu100.34
Yifen Ke200.34
Changfeng Ma319729.63