On Nonnegative Moore‐Penrose Inverses of Perturbed Matrices

Shani Jose and K. C. Sivakumar

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: Nonnegativity of the Moore‐Penrose inverse of a perturbation of the form A − XGYT is considered when A† ≥ 0. Using a generalized version of the Sherman‐Morrison‐Woodbury formula, conditions for (A−XGYT) † 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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https://doi.org/10.1155/2013/680975

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:680975

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