Universal Iterative Methods for Computing Generalized Inverses

被引：0

作者：

D. S. Djordjević

P. S. Stanimirović

机构：

[1] University of Niś,Faculty of Philosophy Department of Mathematics Ćirila 1 Metodija 2

来源：

Acta Mathematica Hungarica | 1998年 / 79卷

关键词：

Error Estimate; Iterative Method; Iterative Process; Suitable Condition; Generalize Inverse;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 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 Tanabe's method [16] for computing reflexive generalized inverses are also investigated.

引用

页码：253 / 268

页数：15

共 19 条

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