A geometrical approach on generalized inverses by Neumann-type series (Q5946199)
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scientific article; zbMATH DE number 1658489
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometrical approach on generalized inverses by Neumann-type series |
scientific article; zbMATH DE number 1658489 |
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A geometrical approach on generalized inverses by Neumann-type series (English)
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29 May 2002
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The authors extend the results on the convergence of the Neumann-type series to {1, 2}-inverses proved by \textit{K. Tanabe} [Linear Algebra Appl. 10, 163-175 (1975; Zbl 0327.15012)] by giving conditions characterizing the convergence to Moore-Penrose, and Drazin inverses. Using the hyperpower method an iterative scheme for obtaining these inverses is derived, and some involutory matrices are introduced and characterized.
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Neumann-type series
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group inverse
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Moore-Penrose inverse
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Drazin inverse
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hyperpower method
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convergence
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