Mixed-type reverse-order laws of (AB)(1,2,3) and (AB)(1,2,4)

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摘要

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.

论文关键词:Mixed-type reverse-order law,Extremal rank,Generalized inverse

论文评审过程:Available online 8 June 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.05.046