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math.NA2018
Convergence rates for inverse Problems in Hilbert spaces: A Comparative Study
Gaurav Mittal, Ankik Kumar Giri
In this paper, we apply a new kind of smoothness concept, i.e. Hölder stability estimates for the determination of convergence rates of Tikhonov regularization for linear and non-l…
math.NA2018
Convergence rates of nonlinear inverse problems in Banach spaces: conditional stability and weaker norms
Gaurav Mittal, Ankik Kumar Giri
In this short note, we formulate the convergence rates of the well known Tikhonov regularization scheme for solving the nonlinear ill-posed problems in Banach spaces. For deriving…
math.NA2018★ 19 cited
Iteratively regularized landweber iteration method: Convergence analysis via Hölder Stability
Gaurav Mittal, Ankik Kumar Giri
In this paper, the local convergence of Iteratively regularized Landweber iteration method is investigated for solving non-linear inverse problems in Banach spaces. Our analysis ma…