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Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Two efficient iterative algorithms are presented to solve a system of matrix equations A1X1B1 + A2X2B2=E, C1X1D1 + C2X2D2=F over generalized reflexive and generalized antireflexive matrices.
By the algorithms, the least norm generalized reflexive (antireflexive) solutions and the unique optimal approximation generalized reflexive (antireflexive) solutions to the system can be obtained, too.
For any initial value, it is proved that the iterative solutions obtained by the proposed algorithms converge to their true values.
The given numerical examples demonstrate that the iterative algorithms are efficient.
American Psychological Association (APA)
Lin, Yong& Wang, Qing-Wen. 2014. Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-465115
Modern Language Association (MLA)
Lin, Yong& Wang, Qing-Wen. Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-465115
American Medical Association (AMA)
Lin, Yong& Wang, Qing-Wen. Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-465115
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465115