A convergence analysis of a method of steepest descent and a two-step algorothm for nonlinear ill-posed problems. (December 2019)

• Record Type: Journal Article
• Authors: Otmar, Scherzer
• Is Part Of: Numerical functional analysis and optimization. Volume 17:Number 1/2(1996)
• Page Start: 197
• Page End: 214
• Publication Date: 2019-12
• Subjects: Nonlinear ill-posed problems -- steepest descent iteration -- two-step algorithms -- regularization methods -- discrepancy principle -- stopping rule; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630569608816691
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract : In this paper a convergence analysis of a method of steepest descent and a two-step algorithm for solving nonlinear ill-posed problems is presented. Combined with an appropriate stopping criterion both methods turn out to be stable.