The reverse order law for the generalized inverse A(T,S)(2)over a skew field

Yaoming Yu

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In this paper, we study the reverse order law for the generalized inverse of the product of three matrices over a skew field with ranks of those matrices discussed, and give a necessary and sufficient condition under which the reverse order law holds. From this, we obtain necessary and sufficient conditions for the reverse order laws for the known generalized inverses, such as the Moore-Penrose inverse, the Drazin inverse and the group inverse, over skew fields.
Original languageEnglish
Pages (from-to)10158 - 10165
Number of pages8
JournalApplied Mathematics and Computation
Issue number24
Publication statusPublished - 2011

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