TITLE:
The SMW Formula for Bounded Homogeneous Generalized Inverses with Applications
AUTHORS:
Jianbing Cao
KEYWORDS:
Homogeneous Generalized Inverse, Perturbation, Sherman-Morrison-Woodbury Formula
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.9,
September
15,
2017
ABSTRACT: In this paper, we present an extension of the so-called classical Sherman-Morrison-Woodbury (for short SMW) formula for bounded homogeneous generalized inverse in Banach spaces. Some particular cases and applications will be also considered. Our results generalize the results of many authors for finite dimensional matrices and Hilbert space operators in the literature.