On the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial order and Löwner partial order under constraint conditions, and illustrate its differences with some classical partial orders, such as minus, CL, and GL partial orders.

中文翻译：

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新的偏序的一些特征和性质

在Löwner偏序和核心偏序的基础上，我们引入了一个新的偏序：LC偏序。通过应用矩阵分解，核逆，核偏序和Löwner偏序，我们给出了LC偏序的一些特征，研究了约束条件下LC偏序和Löwner偏序之间的关系，并说明了它们与一些经典偏序的区别。 ，例如减号，CL和GL偏序。