A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification
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DOI: 10.1088/1361-6420/aac8f3
Abstract: We introduce and analyze a fast iterative method based on sequential Bregman projections for nonlinear inverse problems in Banach spaces. The key idea, in contrast to the standard Landweber method, is to use multiple search… read more here.
Keywords: banach spaces; method; problems banach; nonlinear inverse ... See more keywords
Fast subspace optimization method for nonlinear inverse problems in Banach spaces with uniformly convex penalty terms
Sign Up to like & getrecommendations! Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/ab2a2b
Abstract: where the noise level δ > 0 is known. Due to the inherent ill-posedness of inverse problems, some regularization methods should be used to produce a stable approximate solution of (1). Landweber iteration is one… read more here.
Keywords: penalty; nonlinear inverse; method; inverse ... See more keywords
A New Scheme for Solving Highly Nonlinear Inverse Scattering Problems With Noise Disturbance
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2021.3137322
Abstract: In this letter, a new scheme based on contraction integral equation (CIE) method is proposed to solve the highly nonlinear inverse scattering problems with noise disturbance. By controlling the weight factor in the new scheme… read more here.
Keywords: new scheme; nonlinear inverse; scheme; highly nonlinear ... See more keywords
Polarization-multiplexed nonlinear inverse synthesis with standard and reduced-complexity NFT processing: erratum.
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DOI: 10.1364/oe.27.003617
Abstract: We correct a formula for the numerical nonlinear Fourier transform in [1]. The conclusions of our work are unchanged. read more here.
Keywords: nonlinear inverse; polarization multiplexed; multiplexed nonlinear; synthesis standard ... See more keywords
A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem
Sign Up to like & getrecommendations! Published in 2021 at "Filomat"
DOI: 10.2298/fil2101079a
Abstract: In this paper, a modified orthogonal linear spline (OL-spline) is used for the numerical solution of a coupled nonlinear inverse reaction-diffusion problem to determine the unknown boundary conditions. The convergence properties of the new linear… read more here.
Keywords: orthogonal linear; nonlinear inverse; spline; linear spline ... See more keywords