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Successive matrix squaring algorithm for computing outer inverses. (English) Zbl 1158.65028

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

MSC:

65F20 Numerical solutions to overdetermined systems, pseudoinverses

Software:

Mathematica
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Full Text: DOI

References:

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