Wang, Y. and Li, S. (2005) Homogeneous Generalized Inverses of Linear Operators in Banach Spaces. Acta Mathematica Sinica, 48, 253-258.

has been cited by the following article:

• 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.