A variant of the Levenberg-Marquardt method with adaptive parameters for systems of nonlinear equations

• Published in: AIMS mathematics Vol. 7; no. 1; pp. 1241 - 1256
• Main Authors: Zheng, Lin, Chen, Liang, Ma, Yanfang
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: error bound condition; global convergence; levenberg-marquardt method; systems of nonlinear equations; wolfe line search

The Levenberg-Marquardt method is one of the most important methods for solving systems of nonlinear equations and nonlinear least-squares problems. It enjoys a quadratic convergence rate under the local error bound condition. Recently, to solve nonzero-residue nonlinear least-squares problem, Behli...