Article ID Journal Published Year Pages File Type
4630763 Applied Mathematics and Computation 2011 7 Pages PDF
Abstract

Let K be a skew field and Km×n be the set of all m × n matrices over K  . In this paper, we give the necessary and sufficient conditions to the existence and the representations of the group inverse for block matrix AX+YBAB0 under some conditions, where A, Y ∈ Km×n, X, B ∈ Kn×m.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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A note on the group inverse of some 2 × 2 block matrices over skew fields
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