On Nonnegative Moore-Penrose Inverses of Perturbed Matrices

Shani Jose; K. C. Sivakumar

doi:10.1155/2013/680975

Journal of Applied Mathematics (Jan 2013)

On Nonnegative Moore-Penrose Inverses of Perturbed Matrices

Shani Jose,
K. C. Sivakumar

Affiliations

Shani Jose: Department of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, India
K. C. Sivakumar: Department of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, India

DOI: https://doi.org/10.1155/2013/680975
Journal volume & issue: Vol. 2013

Abstract

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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.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

About the journal