一种改进的非单调信赖域两步Levenberg-Marquardt方法
An Improved Non-Monotonic Trust Region Two-Step Levenberg-Marquardt Method
摘要: 本文提出了一种求解非线性方程组的改进型非单调信赖域两步Levenberg-Marquardt方法，证明了该方法在适当条件下具有全局收敛性。数值试验表明该方法比单步Levenberg-Marquardt方法具有更好的数值效果。
Abstract: In this paper, an improved nonmonotonic trust region two-step Levenberg-Marquardt method for solving nonlinear equations is proposed, and it is proved that the method has global convergence under appropriate conditions. Numerical experiments show that the method has better numerical results than the one-step Levenberg-Marquardt method.
文章引用：何素丹. 一种改进的非单调信赖域两步Levenberg-Marquardt方法[J]. 应用数学进展, 2025, 14(6): 465-477. https://doi.org/10.12677/aam.2025.146335

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