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- W4298106039 abstract "In this work we discuss a method to adapt sequential subspace optimization (SESOP), which has so far been developed for linear inverse problems in Hilbert and Banach spaces, to the case of nonlinear inverse problems. We start by revising the well-known technique for Hilbert spaces. In a next step, we introduce a method using multiple search directions that are especially designed to fit the nonlinearity of the forward operator. To this end, we iteratively project the initial value onto stripes whose shape is determined by the search direction, the nonlinearity of the operator and the noise level. We additionally propose a fast algorithm that uses two search directions. Finally we will show convergence and regularization properties for the presented method." @default.
- W4298106039 created "2022-10-01" @default.
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- W4298106039 date "2016-02-22" @default.
- W4298106039 modified "2023-09-27" @default.
- W4298106039 title "Sequential subspace optimization for nonlinear inverse problems" @default.
- W4298106039 doi "https://doi.org/10.48550/arxiv.1602.06781" @default.
- W4298106039 hasPublicationYear "2016" @default.
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