Perturbation Analysis for Oblique Projection Generalized Inverses
Fapeng Du, M. Zuhair Nashed · Numerical Functional Analysis and Optimization · 2020
In this paper, we introduce the notion of stable perturbation of a subspace in Banach space. Utilizing this notion and the gap between subspaces, we develop a perturbation analysis for the oblique projection generalized inverse when the operator T, the range and null space of the projectors have perturbations simultaneously and estimate an upper bound of ||T¯P¯,Q¯+−TP,Q+||. Our results are new and extend the related results on the perturbation analysis of the oblique projection generalized inverse.