A unified local convergence analysis of inexact constrained Levenberg–Marquardt methods

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

Donald W. Marquardt · Journal of the Society for Industrial and Applied Mathematics · 1963 · 30.1K citations

Parameter Estimation, Engineering, Nonlinear Optimization +17

A method for the solution of certain non-linear problems in least squares

Kenneth Levenberg · Quarterly of Applied Mathematics · 1944 · 12K citations · Full text

Numerical Analysis, Mathematical Programming, Engineering +9

Inexact Newton Methods

Ron S. Dembo, Stanley C. Eisenstat, Trond Steihaug · SIAM Journal on Numerical Analysis · 1982 · 1.5K citations

Numerical Analysis, Classical Algorithm, Numerical Computation +12

Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints

Christian Kanzow, Nobuo Yamashita, Masao Fukushima · Journal of Computational and Applied Mathematics · 2004 · 319 citations

Numerical Analysis, Engineering, Convex Optimization +6

On the Quadratic Convergence of the Levenberg-Marquardt Method without Nonsingularity Assumption

Jinyan Fan, Ya-xiang Yuan · Computing · 2005 · 259 citations

Numerical Analysis, Numerical Computation, Engineering +8