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• W3103011383 abstract "In this article we propose a novel strategy for choosing the Lagrange multipliers in the Levenberg-Marquardt method for solving ill-posed problems modeled by nonlinear operators acting between Hilbert spaces. Convergence analysis results are established for the proposed method, including: monotonicity of iteration error, geometrical decay of the residual, convergence for exact data, stability and semi-convergence for noisy data. Numerical experiments are presented for an elliptic parameter identification two-dimensional EIT problem. The performance of our strategy is compared with standard implementations of the Levenberg-Marquardt method (using a priori choice of the multipliers)." @default.
• W3103011383 created "2020-11-23" @default.
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• W3103011383 date "2020-09-16" @default.
• W3103011383 modified "2023-10-03" @default.
• W3103011383 title "Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg–Marquardt method" @default.
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• W3103011383 doi "https://doi.org/10.1093/imanum/draa050" @default.
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