On Nonnegative Moore-Penrose Inverses of Perturbed Matrices
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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/680975 |