Ranks of solutions of the matrix equation AXB = C

Linear and Multilinear Algebra

Volumn 51, Issue 2, 2003, Pages 111-125

  Tian, Yongge ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

Block matrix; Generalized inverse; Matrix equation; Rank; Solution

Indexed keywords

EID: 0038586505     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: 10.1080/0308108031000114631     Document Type: Article

References (8)

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3. S.K. Mitra (1984). The matrix equations AX = C, XB = D. Linear Algebra Appl., 59, 171-181.
4. 2 and a programming problem. Linear Algebra Appl., 131, 107-123.
5. Y. Tian. The minimal rank of the matrix expression A - BX - YC. Missouri J. Math. Sci., (in press).
6. Y. Tian (2002). The maximal and minimal ranks of some expressions of generalized inverses of matrices, Southeast Asian Bull. Math., 25, 745-755.
7. Y. Tian (2002). Upper and lower bounds for ranks of matrix expressions using generalized inverses. Linear Algebra Appl., 355, 187-214.
8. F. Uhlig (1987). On the matrix equation AX = B with applications to the generators of controllability matrix. Linear Algebra Appl., 85, 203-209.