The Limit And Calculation Of The Generalized Inverse

Posted on:2015-01-07

Degree:Master

Type:Thesis

Country:China

Candidate:F Huang

Full Text:PDF

GTID:2180330434955957

Subject:Applied Mathematics

Abstract/Summary:

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In this paper, necessary and sufcient condition for the existence of the limitationof the form λli�'m0B(λI+AY)1and λli�'m0(A+λI)1B are given on Hilbert spaces. Fur-thermore, we obtain some properties involving the two type of the limitations.We usethe higher-order convergent iterative method for computing the generalized inverse A(2)T,Sover Banach spaces and the generalized Drazin inverse adin Banach algebra.Moreover,we estimate the error bounds of the iterative methods for approximating A(2)T,Sor ad...

Keywords/Search Tags:

Limitation, Hilbert spaces, Higher-order convergence, Iterativemethod, Generalized inverse A(2)TS, Error bound, Banach space

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