Perturbation Analysis for Oblique Projection Generalized Inverses. (25th October 2020)

• Record Type: Journal Article
• Authors: Du, Fapeng; Nashed, M. Zuhair
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 14(2020)
• Page Start: 1728
• Page End: 1740
• Publication Date: 2020-10-25
• Subjects: Gap between subspaces -- oblique projection generalized inverse -- perturbation analysis of generalized inverse; 15A09, 47A55; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1813163
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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 ¯ + − T P, Q + | | . Our results are new and extend the related results on the perturbation analysis of the oblique projection generalized inverse.