Author(s)

Jianbing Cao

Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China.

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.

Homogeneous Generalized Inverse, Perturbation, Sherman-Morrison-Woodbury Formula

Cao, J. (2017) The SMW Formula for Bounded Homogeneous Generalized Inverses with Applications. Journal of Applied Mathematics and Physics, 5, 1702-1709. doi: 10.4236/jamp.2017.59143.