Extended Newton-type iteration for nonlinear ill-posed equations in Banach space
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01221-2
Abstract: In this paper, we study nonlinear ill-posed equations involving m-accretive mappings in Banach spaces. We produce an extended Newton-type iterative scheme that converges cubically to the solution which uses assumptions only on the first Fréchet… read more here.
Keywords: nonlinear ill; posed equations; ill posed; extended newton ... See more keywords
Heuristic rule for inexact Newton-Landweber iteration with convex penalty terms of nonlinear: ill-posed problems
Sign Up to like & getrecommendations! Published in 2023 at "Inverse Problems"
DOI: 10.1088/1361-6420/acccdb
Abstract: Inexact Newton regularization methods are a family of prominent regularization methods for solving nonlinear ill-posed problems, which consist of an outer Newton iteration and an inner scheme providing increments by applying the regularization technique to… read more here.
Keywords: rule; ill posed; heuristic rule; iteration ... See more keywords