In this paper,we use the Lowner partial order and the star partial order to introduce a new partial order(denoted by"L^(*)")on the set of group matrices,and get some characteristics and properties of the new...In this paper,we use the Lowner partial order and the star partial order to introduce a new partial order(denoted by"L^(*)")on the set of group matrices,and get some characteristics and properties of the new partial order.In particular,we prove that the L*partial order is a special kind of the core partial order and it is equivalent to the star partial order under some conditions.We also illustrate its difference from other partial orders with examples and find out under what conditions it is equivalent to other partial orders.展开更多
基金The work was supported by the Research Fund Project of Guangxi University for Nationalities(No.2019KJQD03)Guangxi Natural Science Foundation(No.2018GXNSFDA281023)+2 种基金the National Natural Science Foundation of China(No.12061015)the Special Fund for Bagui Scholars of Guangxi(No.2016A17)the Education Innovation Program for 2019 Graduate Students(No.gxun-chxzs 2019026).
文摘In this paper,we use the Lowner partial order and the star partial order to introduce a new partial order(denoted by"L^(*)")on the set of group matrices,and get some characteristics and properties of the new partial order.In particular,we prove that the L*partial order is a special kind of the core partial order and it is equivalent to the star partial order under some conditions.We also illustrate its difference from other partial orders with examples and find out under what conditions it is equivalent to other partial orders.
