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

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Abstract

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.

Item Type:Article
Keyword:Kronecker Product, Weighted Drazin Inverses, General algebraic structures, Index, Nilpotent matrix
Faculty or Institute:Institute for Mathematical Research
Publisher:UPM Press
ID Code:12563
Deposited By: Najwani Amir Sariffudin
Deposited On:03 Jun 2011 07:24
Last Modified:27 May 2013 07:52

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