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Zbl 1158.65028
Stanimirović, Predrag S.; Cvetković-Ilić, Dragana S.
Successive matrix squaring algorithm for computing outer inverses. (English)
[J] Appl. Math. Comput. 203, No. 1, 19-29 (2008). ISSN 0096-3003

The authors derive a successive matrix squaring algorithm to approximate an outer generalized inverse with prescribed range and null space of a given matrix $A \in \Bbb{C}_{r}^{m\times n}$. They propose an algorithm for computing various classes of outer generalized inverses of $A$. Numerical examples are also provided.
[Răzvan Răducanu (Iaşi)]

MSC 2000:: *65F20 Overdetermined systems (numerical linear algebra)

Keywords: generalized inverse; outer inverse; full rank factorization; matrix rank; successive matrix squaring algorithm; prescribed range and null space; numerical examples

Cited in: Zbl 1217.65068

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