Improved local convergence analysis of the Landweber iteration in Banach spaces

In this paper, we study the convergence analysis of the inexact Newton–Landweber iteration method (INLIM) with frozen derivative in Hilbert as well as Banach spaces. To study the convergence analysis, we incorporate the Hölder stability of the inverse mapping and Lipschitz continuity of the Fréchet derivative of the forward mapping. Moreover, we derive the convergence rates of INLIM in Hilbert as well as Banach spaces without using any extra smoothness condition. Finally, we compare our convergence rates results with that of several other frozen methods proposed in the literature to solve inverse problems.

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Improved local convergence analysis of the Landweber iteration in Banach spaces

Cited by 2 publications

References 16 publications

Convergence analysis of iteratively regularized Landweber iteration with uniformly convex constraints in Banach spaces

Convergence analysis of iteratively regularized Landweber iteration with uniformly convex constraints in Banach spaces

Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces

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