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Fitting Nature's Basic Functions Part III: Exponentials, Sinusoids and Nonlinear Least Squares

Published

Author(s)

Bert W. Rust

Abstract

This paper explains the Gauss - Newton iteration, and the Levenberg - Marquardt variant of it, for nonlinear least squares calculations. It also explains how to compute statistical diagnostics for the fits and to test hypotheses about them. It illustrates these techniques by fitting simple mathematical models to the time series records of annual fossil fuel CO2 emissions and annual global temperature variations.
Citation
Computing in Science & Engineering
Volume
4
Issue
No. 4

Keywords

fossil fuel CO<sub>2</sub> emissions, global temperature variations, nonlinear least squares

Citation

Rust, B. (2002), Fitting Nature's Basic Functions Part III: Exponentials, Sinusoids and Nonlinear Least Squares, Computing in Science & Engineering, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=150854 (Accessed July 13, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created August 1, 2002, Updated February 17, 2017