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The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-04-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we present two different relaxed gradient based iterative (RGI) algorithms for solving the symmetric and skew symmetric solution of the Sylvester matrix equation AX+XB=C.
By using these two iterative methods, it is proved that the iterative solution converges to its true symmetric (skew symmetric) solution under some appropriate assumptions when any initial symmetric (skew symmetric) matrix X0 is taken.
Finally, two numerical examples are given to illustrate that the introduced iterative algorithms are more efficient.
American Psychological Association (APA)
Zhang, Xiaodan& Sheng, Xingping. 2017. The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1189603
Modern Language Association (MLA)
Zhang, Xiaodan& Sheng, Xingping. The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1189603
American Medical Association (AMA)
Zhang, Xiaodan& Sheng, Xingping. The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1189603
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189603