On pseudo—optimal parameter choices and stopping rules for regularization methods in banach spaces. (December 2019)

• Record Type: Journal Article
• Authors: Plato, R.; Hamarik, U.
• Is Part Of: Numerical functional analysis and optimization. Volume 17:Number 1/2(1996)
• Page Start: 181
• Page End: 195
• Publication Date: 2019-12
• Subjects: Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630569608816690
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract : We consider generalized inverses and linear ill-posed problems in Banach spaces, and the concept of pseudo-optimal parameter choices and stopping rules for regularization methods is presented. The pseudo-optimality of the discrepancy principle for iterative methods like the Richardson iteration is shown, as well as the pseudo-optimality of different parameter choices for the iterated method of Lavrentiev.