Universal Iterative Methods for Computing Generalized Inverses
نویسندگان
چکیده
In this paper we construct a few iterative processes for computing {1, 2} inverses of a linear bounded operator, based on the hyper-power iterative method or the Neumann-type expansion. Under the suitable conditions these methods converge to the {1, 2, 3} or {1, 2, 4} inverses. Also, we specify conditions when the iterative processes converge to the Moore-Penrose inverse, the weighted Moore-Penrose inverse or to the group inverse. A few error estimates are derived. The advantages of the introduced methods over the Tanabe’s method [16] for computing the reflexive generalized inverses are also investigated.
منابع مشابه
Iterative methods for computing generalized inverses
In this article we extend the method of Yong-Lin Chen (Iterative methods for computing the generalized inverses A (2) T,S of a matrix A, Appl. Math. Comput. 75 (2-3) (1996)) to inifinite dimensional settings. Precisely, we construct an iterative method for computing outer generalized inverses of operators on Banach spaces, and also for computing the generalized Drazin inverse of Banach algebra ...
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