Note on the iterative methods for computing the generalized inverse over Banach spaces | Zendy

Liu Xiaoji | Zendy; Zhou Guangping | Zendy; Yu Yaoming | Zendy

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Note on the iterative methods for computing the generalized inverse over Banach spaces

Author(s) -

Liu Xiaoji,

Zhou Guangping,

Yu Yaoming

Publication year - 2011

Publication title -

numerical linear algebra with applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.02

H-Index - 53

eISSN - 1099-1506

pISSN - 1070-5325

DOI - 10.1002/nla.763

Subject(s) - mathematics , drazin inverse , banach algebra , banach space , iterative method , construct (python library) , inverse , algebra over a field , element (criminal law) , generalized inverse , pure mathematics , mathematical optimization , computer science , geometry , law , political science , programming language

In this paper, we construct iterative methods for computing the generalized inverse A (2) T, Sover Banach spaces, and also for computing the generalized Drazin inverses a d of Banach algebra element a . Moreover, we estimate the error bounds of the iterative methods for approximating A (2) T, Sor a d . Copyright © 2011 John Wiley & Sons, Ltd.

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