Weighted binary relations involving core-EP inverse

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,...

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Bibliographic Details
Main Author: Gao, Yuefeng (author)
Other Authors: Chen, Jianlong (author), Patrício, Pedro (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/1822/72235
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/72235
Description
Summary: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.