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A New Equivalent Condition of the Reverse Order Law for Reflexive Generalized Inverses of two Matrix Products

2012
The reverse order laws for generalized inverses of matrix products yield a class of interesting problems that are fundamental in the theory of generalized inverses of matrices and statistics. In this paper, using the maximal and minimal ranks of the generalized Schur complement, a new simpler equivalent condition is obtained in terms of only the ranks ...
Zhiping Xiong, Yingying Qin
openaire   +1 more source

The Left and Right Inverse Eigenvalue Problems of Generalized Reflexive and Anti-Reflexive Matrices

Journal of Computational and Applied Mathematics, 2010
Li-Fang Dai
exaly  

The Inverse Eigenvalue Problem of Generalized Reflexive Matrices and Its Approximation

Applied Mathematics and Computation, 2011
Linzhang Lu, Zhibing Liu, Kanmin Wang
exaly  

The Reflexive and Anti-Reflexive Solutions of a Linear Matrix Equation and Systems of Matrix Equations

Rocky Mountain Journal of Mathematics, 2010
Mehdi Dehghan, Masoud Hajarian
exaly  

An Inverse Eigenproblem for Generalized Reflexive Matrices With Normal $k+1$-Potencies

Electronic Journal of Linear Algebra, 2016
Wei-Ru Xu, Guo-Liang Chen
exaly  

On Sparse Reflexive Generalized Inverse

Operations Research Letters, 2018
Marcia Fampa, Jon Lee
exaly  

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