On nonnegative Moore-Penrose inverses of perturbed matrices (Q2375632)
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| Language | Label | Description | Also known as |
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| English | On nonnegative Moore-Penrose inverses of perturbed matrices |
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On nonnegative Moore-Penrose inverses of perturbed matrices (English)
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14 June 2013
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Summary: Nonnegativity of the Moore-Penrose inverse of a perturbation of the form \(A - XGY^T\) is considered when \(A^\dagger \geq 0\). Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for \((A - XGY^T)^\dagger\) to be nonnegative are derived. Applications of the results are presented briefly. Iterative versions of the results are also studied.
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