Continuous analog of Gauss-Newton method
R.Airapetyan, A.G.Ramm, A.Smirnova
TL;DR
This paper introduces a continuous analog of the Gauss-Newton method for nonlinear ill-posed problems, proves its convergence, and demonstrates its efficiency through a numerical example.
Contribution
It proposes a novel continuous analog of the Gauss-Newton method and establishes its convergence for solving nonlinear ill-posed problems.
Findings
Convergence of the proposed method is theoretically proven.
Numerical example confirms the method's efficiency.
The method is suitable for nonlinear ill-posed problems.
Abstract
A continuous analog of Gauss-Newton method for solving nonlinear ill-posed problems is proposed. Its converegence is proved. A numerical example is presented to demonstrate efficiency of the propsed method.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations