A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification
Sign Up to like & getrecommendations! Published in 2018 at "Inverse Problems"
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
Tikhonov-type regularization for nonlinear inverse problems with multiple repeated measurement data
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad8afb
Abstract: In this paper, we consider the Tikhonov-type regularization for solving nonlinear inverse problems under the statistical framework that multiple unbiased independent identically distributed measurement data are available. We use the average of these data in… read more here.
Keywords: inverse problems; tikhonov type; measurement data; nonlinear inverse ... See more keywords
Further study on homotopy perturbation iteration for nonlinear inverse problems
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DOI: 10.1088/1402-4896/adfb06
Abstract: In this paper, we propose two versions of the homotopy perturbation iteration with inexact inner solvers (HP-IIS) for nonlinear inverse problems in both Hilbert and Banach spaces. These approaches involve the integration of an inexact… read more here.
Keywords: perturbation iteration; inverse problems; inverse; homotopy perturbation ... 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.
Sign Up to like & getrecommendations! Published in 2019 at "Optics express"
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
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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