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G. Chant, INRIA, Rocquencourt, France Nonlinear Least Squares for Inverse Problems Theoretical Foundations and Step-by-Step Guide for Applications 2010. XIV, 360 p. (Scientific Computation) Hardcover
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Nonlinear least squares is a method used to estimate the parameters of a nonlinear mathematical model by minimizing the sum of the squared differences between the observed and predicted values.
Nonlinear least squares is a statistical technique utilized by researchers, scientists, and analysts in various fields such as economics, physics, and engineering.
To fill out nonlinear least squares, you need to have a mathematical model describing the relationship between variables, data representing observed values, and an optimization algorithm that minimizes the sum of the squared differences.
The purpose of nonlinear least squares is to estimate the unknown parameters in a nonlinear model, allowing for the best fit between observed data and the predicted values from the model.
In nonlinear least squares, the reported information includes the estimated parameter values, the goodness-of-fit statistics, such as residual sum of squares or R-squared, and any relevant diagnostics or confidence intervals.
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