On the basis of Lowner 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… Click to show full abstract
On the basis of Lowner 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 Lowner partial order, we give some characteristics of LC partial order, study the relationship between LC partial order and Lowner partial order under constraint conditions, and illustrate its differences with some classical partial orders, such as minus, CL, and GL partial orders.
               
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