Title of article
A geometrical approach on generalized inverses by Neumann-type series
Author/Authors
Joan-Josep Climent، نويسنده , , Néstor Thome، نويسنده , , Yimin Wei، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
8
From page
533
To page
540
Abstract
The convergence of the Neumann-type series to {1,2}-inverses has been shown by K. Tanabe [Linear Algebra Appl. 10 (1975) 163]. In this paper, these results indicating conditions characterizing the convergence of this series to different generalized inverses are extended. In addition, these results for obtaining different generalized inverses from the hyperpower method are applied. Finally, generalized involutory matrices are introduced and characterized using the obtained results.
Keywords
Hyperpower method , S inverse , Drazin inverse , A(2)T , Moore–Penrose inverse , Neumann-type series , Group inverse
Journal title
Linear Algebra and its Applications
Serial Year
2001
Journal title
Linear Algebra and its Applications
Record number
823319
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