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Mixed-type reverse-order laws of (AB) and (AB)
Authors:Hu Yang Xifu Liu
Institution:College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
Abstract:In this paper, by using the extremal ranks of generalized Schur complements, we study the mixed-type reverse-order laws for (AB)(1,2,3) and (AB)(1,2,4), and the sufficient and necessary conditions are established for these two reverse-order laws. Finally, two numerical examples are given to illustrate our results.
Keywords:Mixed-type reverse-order law  Extremal rank  Generalized inverse
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