Constrained Solutions of a System of Matrix Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-24
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We derive the necessary and sufficient conditions of and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations AX=B and XC=D, respectively.
When the matrix equations are not consistent, the least squares symmetric orthogonal solutions and the least squares skew-symmetric orthogonal solutions are respectively given.
As an auxiliary, an algorithm is provided to compute the least squares symmetric orthogonal solutions, and meanwhile an example is presented to show that it is reasonable.
American Psychological Association (APA)
Wang, Qing-Wen& Yu, Juan. 2012. Constrained Solutions of a System of Matrix Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028892
Modern Language Association (MLA)
Wang, Qing-Wen& Yu, Juan. Constrained Solutions of a System of Matrix Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1028892
American Medical Association (AMA)
Wang, Qing-Wen& Yu, Juan. Constrained Solutions of a System of Matrix Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028892
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028892