Convergence properties of Levenberg-Marquardt methods with generalized regularization terms

DOI10.1016/J.AMC.2023.128365OpenAlexW4387298480MaRDI QIDQ6090273

Shumpei Ariizumi, Yuya Yamakawa, Nobuo Yamashita

Publication date: 14 November 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2023.128365

zbMATH Keywords

global convergencenonlinear equationlocal convergenceLevenberg-Marquardt method

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Nonlinear algebraic or transcendental equations (65Hxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Cites Work

• A numerically stable dual method for solving strictly convex quadratic programs
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• Cubic regularization of Newton method and its global performance
• Optimization theory and methods. Nonlinear programming
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Numerical Optimization
• Iterative Solution of Nonlinear Equations in Several Variables
• Ridge Regression: Biased Estimation for Nonorthogonal Problems
• A method for the solution of certain non-linear problems in least squares
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