A new approach for determining damping factors in Levenberg-Marquardt algorithm for solving an inverse heat conduction problem

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

Donald W. Marquardt · Journal of the Society for Industrial and Applied Mathematics · 1963 · 30.4K citations

Natural Sciences, Computational Engineering, Optimization +11

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

Kenneth Levenberg · Quarterly of Applied Mathematics · 1944 · 12.2K citations · Full text

Computing, Mathematics, Algorithms +4

Numerical Differentiation of Analytic Functions

J. N. Lyness, C Moler · SIAM Journal on Numerical Analysis · 1967 · 471 citations

Natural Sciences, Mathematics, Derivatives +8

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

Jinyan Fan, Ya-xiang Yuan · Computing · 2005 · 267 citations

Computing, Computer Science, Algorithms +11

A modified Levenberg–Marquardt algorithm for simultaneous estimation of multi-parameters of boundary heat flux by solving transient nonlinear inverse heat conduction problems

Miao Cui, Kai Yang, Xiaoliang Xu et al. · International Journal of Heat and Mass Transfer · 2016 · 134 citations

Engineering, Computational Engineering, Mechanical Engineering +16