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arXiv · 1505.05418

Stability of a regularized Newton method with two potentials

Boushra Abbas
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Abstract

In a Hilbert space setting, we study the stability properties of the regularized continuous Newton method with two potentials, which aims at solving inclusions governed by structured monotone operators. The Levenberg-Marquardt regularization term acts in an open loop way. As a byproduct of our study, we can take the regularization coefficient of bounded variation. These stability results are directly related to the study of numerical algorithms that combine forward-backward and Newton's methods.

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Boushra Abbas. 2015-05-20. Stability of a regularized Newton method with two potentials. https://doi.org/10.11648/j.ijtam.20210701.11

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