Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Ajil Kunnarath"'
Publikováno v:
Modelling, Vol 5, Iss 2, Pp 530-548 (2024)
The modeling of many problems of practical interest leads to nonlinear ill-posed equations (for example, the parameter identification problem (see the Numerical section)). In this article, we introduce a new source condition (SC) and a new parameter
Externí odkaz:
https://doaj.org/article/d7a30025bcdc4d05b5c18687ff266aeb
Publikováno v:
Mathematics, Vol 12, Iss 15, p 2377 (2024)
Tautenhahn (2002) studied the Lavrentiev regularization method (LRM) to approximate a stable solution for the ill-posed nonlinear equation κ(u)=v, where κ:D(κ)⊆X⟶X is a nonlinear monotone operator and X is a Hilbert space. The operator in the
Externí odkaz:
https://doaj.org/article/fac1f266d143430f97cd6c103248a138
Publikováno v:
Fractal and Fractional, Vol 7, Iss 2, p 163 (2023)
Local convergence of order three has been established for the Newton–Simpson method (NS), provided that derivatives up to order four exist. However, these derivatives may not exist and the NS can converge. For this reason, we recover the convergenc
Externí odkaz:
https://doaj.org/article/b3d93ca8c9c34f689a02e43be24ce88f
Publikováno v:
Contemporary Mathematics. :99-117
In this paper, we present the local convergence analysis of Werner-King's method to approximate the solution of a nonlinear equation in Banach spaces. We establish the local convergence theorem under conditions on the first and second Fréchet deriva
Publikováno v:
The Journal of Analysis.