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On linear combinations of generalized involutive matrices
Authors:Xiaoji Liu  Lingling Wu
Affiliation:College of Mathematics and Computer Science , Guangxi University for Nationalities , Nanning 530006, P.R. China
Abstract:Let X ? denotes the Moore--Penrose pseudoinverse of a matrix X. We study a number of situations when (aA?+?bB)??=?aA?+?bB provided a,?b?∈?????{0} and A, B are n?×?n complex matrices such that A ??=?A and B ??=?B.
Keywords:generalized involutive matrices  CS decomposition  EP matrices
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