M
Martin Hanke
Researcher at University of Mainz
Publications - 112
Citations - 10304
Martin Hanke is an academic researcher from University of Mainz. The author has contributed to research in topics: Inverse problem & Tikhonov regularization. The author has an hindex of 31, co-authored 109 publications receiving 9646 citations. Previous affiliations of Martin Hanke include Johannes Kepler University of Linz & Karlsruhe Institute of Technology.
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Book
Regularization of Inverse Problems
TL;DR: Inverse problems have been studied in this article, where Tikhonov regularization of nonlinear problems has been applied to weighted polynomial minimization problems, and the Conjugate Gradient Method has been used for numerical realization.
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A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
TL;DR: In this paper, the authors proved that the Landweber iteration is a stable method for solving nonlinear ill-posed problems and proposed a stopping rule that yields the convergence rate of O(O( √ Δ ) under appropriate conditions.
Book
Conjugate Gradient Type Methods for Ill-Posed Problems
TL;DR: In this paper, a minimal residual method for indefinite problems is proposed, where the number of iterations is proportional to the complexity of the problem and the residual power of the residual method.
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A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
TL;DR: In this paper, a Levenberg-Marquardt scheme for nonlinear inverse problems where the corresponding Lagrange (or regularization) parameter is chosen from an inexact Newton strategy is proposed.