Weighted binary relations involving core-EP inverse

Abstract

We study a new binary relation defined on the set of rectangular complex matrices involving the weighted core-EP inverse and give its characterizations. This relation becomes a pre-order. Then, one-sided pre-orders associated to the weighted core-EP inverse are given from two perspectives. Finally, we make a comparison for these two sets of one-sided weighted pre-orders.

Keywords

Weighted core-EP inverse / core-EP inverse / pseudo core inverse / pre-order

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