Some remarks on generalized inverses of conjugate EP matrix (Q2568614)
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| English | Some remarks on generalized inverses of conjugate EP matrix |
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Some remarks on generalized inverses of conjugate EP matrix (English)
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18 October 2005
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A complex square matrix \(A\) is called conjugate EP (Con-EP) if \(A\) and its transpose have the same range. In general, the Con-EP property is not inherited by \(\{1,2\}\), \(\{1,2,3\}\), \(\{1,2,4\}\) generalized inverses. In this paper, conditions in order to this property be inherited are developed. In addition, the group inverse is also studied in this same sense.
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conjugate EP matrices
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generalized inverse
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polynomial of a matrix
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semi-linear transformations
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group inverse
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