Results 141 to 150 of about 187,051,808 (157)
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On the Block Independence in Reflexive Inner Inverse and M--P Inverse of Block Matrix
SIAM Journal on Matrix Analysis and Applications, 1998Block independence of two, three, and four \(m\times n\) matrices in a generalized inverse satisfying some of the four Moore-Penrose (M-P) equations, is introduced. The independence of two and three matrices is characterized in the reflexive inner inverse and in the Moore-Penrose inverse. A conjecture is stated for four ordered matrices.
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The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices [PDF]
Journal of Computational and Applied Mathematics, 2010 Let n×n complex matrices R and S be nontrivial generalized reflection matrices, i.e., R∗=R=R−1≠±In, S∗=S=S−1≠±In. A complex matrix A with order n is said to be a generalized reflexive (or anti-reflexive ) matrix, if RAS=A (or RAS=−A).
Dai, Li-fang, Liang, Mao-lin
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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
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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
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ORDERED SEMIGROUP OF REFLEXIVE GENERALISED INVERSES OF A MATRIX
P H Sathi, P G Romeoopenaire +1 more source
The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation
Applied Mathematics and Computation, 2005Zhen-Yun Peng
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ON THE REFLEXIVE SOLUTIONS OF THE MATRIX EQUATION AXB + CYD = E
Bulletin of the Korean Mathematical Society, 2009Mehdi Dehghan, Masoud Hajarian
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The inverse eigenvalue problem of generalized reflexive matrices and its approximation
Applied Mathematics and Computation, 2011Linzhang Lu, Zhibing Liu
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On sparse reflexive generalized inverse
Operations Research Letters, 2018Marcia Fampa, Jon Lee
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