On generalized inverses of banded matrices

Bapat, R. B. (2007) On generalized inverses of banded matrices The Electronic Journal of Linear Algebra, 16 . pp. 284-290. ISSN 1081-3810

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Bounds for the ranks of upper-right submatrices of a generalized inverse of a strictly lower k-banded matrix are obtained. It is shown that such ranks can be exactly predicted under some conditions. The proof uses the Nullity Theorem and bordering technique for generalized inverse.

Item Type:Article
Source:Copyright of this article belongs to The European Mathematical Information Service.
Keywords:Generalized Inverse; Banded Matrix; Rank
ID Code:81585
Deposited On:07 Feb 2012 05:11
Last Modified:07 Feb 2012 05:11

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