The anti-Centro-symmetric extremal rank solutions of the matrix equation AX = B
Author
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 6, Issue 3 (30 Sep. 2013), pp.197-210, 14 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2013-09-30
Country of Publication
Jordan
No. of Pages
14
Main Subjects
Topics
Abstract EN
A matrix A = (aij) 2 Rn£n is said to be a centro-symmetric matrix if aij = ¡an+1¡I ; n+1¡j ; I ; j = 1; 2; : : : ; n.
In this paper, we mainly investigate the anti-centro-symmetric maximal and minimal rank solutions to the system of matrix equation AX = B.
We present necessary and sufficient conditions for the existence of the maximal and minimal rank solutions with anti-centro-symmetric to the system.
The expressions of such solutions to this system are also given when the solvability conditions are satisfied.
In addition, in corresponding the minimal rank solution set to the system, the explicit expression of the nearest matrix to a given matrix in the Frobenius norm has been provided.
American Psychological Association (APA)
Qingfeng, Xiao. 2013. The anti-Centro-symmetric extremal rank solutions of the matrix equation AX = B. Jordan Journal of Mathematics and Statistics،Vol. 6, no. 3, pp.197-210.
https://search.emarefa.net/detail/BIM-340270
Modern Language Association (MLA)
Qingfeng, Xiao. The anti-Centro-symmetric extremal rank solutions of the matrix equation AX = B. Jordan Journal of Mathematics and Statistics Vol. 6, no. 3 (Sep. 2013), pp.197-210.
https://search.emarefa.net/detail/BIM-340270
American Medical Association (AMA)
Qingfeng, Xiao. The anti-Centro-symmetric extremal rank solutions of the matrix equation AX = B. Jordan Journal of Mathematics and Statistics. 2013. Vol. 6, no. 3, pp.197-210.
https://search.emarefa.net/detail/BIM-340270
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 209-210
Record ID
BIM-340270