On Nonnegative Moore-Penrose Inverses of Perturbed Matrices

Shani Jose and K. C. Sivakumar

Journal of Applied Mathematics, 2013, vol. 2013, 1-7

Abstract:

Nonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived. Applications of the results are presented briefly. Iterative versions of the results are also studied.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:680975

DOI: 10.1155/2013/680975

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