Frontiers of Mathematics in China >
Weighted binary relations involving core-EP inverse
Received date: 01 Jul 2019
Accepted date: 01 Aug 2020
Published date: 15 Aug 2020
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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.
Key words： Weighted core-EP inverse; core-EP inverse; pseudo core inverse; pre-order
Yuefeng GAO , Jianlong CHEN , Pedro PATR_ICIO . Weighted binary relations involving core-EP inverse[J]. Frontiers of Mathematics in China, 2020 , 15(4) : 685 -699 . DOI: 10.1007/s11464-020-0856-7
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