A simple Marquardt algorithm for the nonlinear least-squares problem

DOI10.1016/0167-7152(83)90049-4zbMath0537.62047OpenAlexW2073506801MaRDI QIDQ792725

Masashi T. Okamoto, Masamori T. Ihara

Publication date: 1983

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(83)90049-4

zbMATH Keywords

nonlinear least-squares problemMarquardt algorithm

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) General nonlinear regression (62J02) Probabilistic methods, stochastic differential equations (65C99)

Cites Work

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• An Iterative Method for Finding Stationary Values of a Function of Several Variables
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Nonlinear least squares — the Levenberg algorithm revisited
• A Rapidly Convergent Descent Method for Minimization
• A Comparison of Several Current Optimization Methods, and the use of Transformations in Constrained Problems
• Comparison of Gradient Methods for the Solution of Nonlinear Parameter Estimation Problems
• A method for the solution of certain non-linear problems in least squares

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