Some Topics on Weighted Generalized Inverse and Kronecker Product of Matrices
Al Zhour, Zeyad Abdel Aziz and Kilicman, Adem (2007) Some Topics on Weighted Generalized Inverse and Kronecker Product of Matrices. Malaysian Journal of Mathematical Sciences, 1 (1). pp. 109-122. ISSN 1823-8343
inverse Ad,W , which extends earlier results on the Drazin inverse Ad, group inverse Ag and usual inverse A−1. The first one concerns with the matrix expression involving Moore-Penrose inverse A+. The second one holds on the Kronecker products of two and several matrices. Furthermore, some necessary and sufficient conditions for Drazin and weighted Drazin inverses are given for the reverse order law( )d d d AB = B A and , , , ( )d Z d R d W AB = B A to hold. Finally, we apply our result to present the solution of restricted singular matrix equations.
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