Convergence Properties of a Self-adaptive Levenberg-Marquardt Algorithm Under Local Error Bound Condition

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

Matrix perturbation theory

Mathematics and Computers in Simulation · 1991 · 2.5K citations

Natural Sciences, Physics, Dynamical Systems +8

Testing Unconstrained Optimization Software

Jorge J. Morè, B. S. Garbow, K. E. Hillstrom · ACM Transactions on Mathematical Software · 1981 · 1.5K citations · Full text

Computing, Computer Science, Algorithms +7

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