On Ad-Nonprojection Method for Stable Approximation to Infinite-Dimensional Moore–Penrose Inverse. (25th October 2020)

• Record Type: Journal Article
• Authors: Du, Nailin; Gan, Shanlin
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 14(2020)
• Page Start: 1694
• Page End: 1703
• Publication Date: 2020-10-25
• Subjects: Adjoint consistency -- consistency -- generalized inverse -- perfect convergence -- stability -- weak perfect convergence; 65J20 -- 47A52 -- 47A58; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1740930
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: This note presents ad-nonprojection method for approximation to infinite-dimensional Moore-Penrose inverse, which includes generalized projection method as a special case. The main result (Theorem 4) gives characteristics of perfect convergence, weak perfect convergence, and uniform perfect convergence of ad-nonprojection method. This result is a generalization of several fundamental theorems known.