Open AccessOn Nonnegative Moore-Penrose Inverses of Perturbed Matrices
Author(s) -
Shani Jose,
K. C. Sivakumar
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/680975
Subject(s) - mathematics , combinatorics , inverse , path (computing) , matrix (chemical analysis) , algorithm , computer science , geometry , materials science , composite material , programming language
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
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