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Group inverse for the block matrices with an invertible subblock
Authors:Changjiang Bu  Min Li  Lan Zheng
Affiliation:Dept. of Applied Math., College of Science, Harbin Engineering University, Nantong Street, Harbin 150001, PR China
Abstract:Let View the MathML source (A is square) be a square block matrix with an invertible subblock over a skew field K. In this paper, we give the necessary and sufficient conditions for the existence as well as the expressions of the group inverse for M under some conditions.
Keywords:Skew field   Group inverse   Invertible subblock   {1}-Inverse
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