On Nonnegative Moore-Penrose Inverses of Perturbed Matrices

الملخص EN

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.