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On The Drazin Inverse Of Linear Associated With Two Idempotents

Posted on:2016-01-26Degree:MasterType:Thesis
Country:ChinaCandidate:Y Z L WuFull Text:PDF
GTID:2180330461982255Subject:Mathematics
Abstract/Summary:
In this paper,using the technique of space decompositions,it is obtained the Drazin inverse representation of linear combination αP+6Q+cPQ+dQP+ePQP of two idempotent operator P and Q under the conditions PQP=QPQ and PQ=QP.In the case of θ=α+b+c+d+e≠Oand θ=α+b+c+d+e=0,the Drazin inverse is expressed as the linear combination of Qand P.Finally,the rationality of the conclusion Is gIVen.
Keywords/Search Tags:Drazin inverse, group inverse, idempotent operator, lin- ear combination
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