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On Nonsingularity and Group Invertibility of Combinations of Two Group Invertible Matrices
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On Nonsingularity and Group Invertibility of Combinations of Two Group Invertible Matrices
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Journal Article
On Nonsingularity and Group Invertibility of Combinations of Two Group Invertible Matrices
2020
Overview
Let A and B be two group invertible matrices, we study the rank, the nonsingularity and the group invertibility of A − B, AA
# − BB
#], c₁A + c₂B, c₁A + c₂B + c₃AA#B where c₁, c₂ are nonzero complex numbers. Under some special conditions, the necessary and sufficient conditions of c₁A + c₂B + c₃AB and c₁A + c₂B + c₃AB + c₄BA to be nonsingular and group invertible are presented, which generalized some related results of Benítez, Liu, Koliha and Zuo [4, 17, 19, 25].
Publisher
University of Nis, Faculty of Sciences and Mathematics
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