A Convergence Result for Some Krylov–Tikhonov Methods in Hilbert Spaces. (26th April 2018)

• Record Type: Journal Article
• Authors: Novati, P.
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 6(2018)
• Page Start: 655
• Page End: 666
• Publication Date: 2018-04-26
• Subjects: Arnoldi algorithm -- compact operator -- Lanczos bidiagonalization -- linear ill-posed problem; 65F10 -- 65F22 -- 65R32; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1402345
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we present a convergence result for some Krylov projection methods when applied to the Tikhonov minimization problem in its general form. In particular, we consider the method based on the Arnoldi algorithm and the one based on the Lanczos bidiagonalization process.