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A spectral conjugate gradient method for nonlinear inverse problems
Authors:Zhibin Zhu  Huajun Wang  Benxin Zhang
Affiliation:1. School of Mathematics and Computational Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology , Guilin, China.;2. Department of Applied Mathematics, Beijing Jiaotong University, Beijing, China.
Abstract:In this study, a new spectral conjugate gradient method is presented to solve nonlinear inverse problems, which transferred into the unconstrained nonlinear optimization with a neighbour term. The global convergence and regularizing properties of the proposed method are analysed. In the end, some numerical results illustrate the efficiency and the robustness of this method.
Keywords:Inverse problems  spectral conjugate gradient method  robustness  regularizing properties  neighbor term
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