Comparison of three newton-like nonlinear least-squares methods for estimating parameters of ground-water flow models
By: R.L. Cooley and M. C. Hill
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Abstract
Three methods of solving nonlinear least-squares problems were compared for robustness and efficiency using a series of hypothetical and field problems. A modified Gauss-Newton/full Newton hybrid method (MGN/FN) and an analogous method for which part of the Hessian matrix was replaced by a quasi-Newton approximation (MGN/QN) solved some of the problems with appreciably fewer iterations than required using only a modified Gauss-Newton (MGN) method. In these problems, model nonlinearity and a large variance for the observed data apparently caused MGN to converge more slowly than MGN/FN or MGN/QN after the sum of squared errors had almost stabilized. Other problems were solved as efficiently with MGN as with MGN/FN or MGN/QN. Because MGN/FN can require significantly more computer time per iteration and more computer storage for transient problems, it is less attractive for a general purpose algorithm than MGN/QN.
| Publication type | Conference Paper |
|---|---|
| Publication Subtype | Conference Paper |
| Title | Comparison of three newton-like nonlinear least-squares methods for estimating parameters of ground-water flow models |
| Volume | 1 |
| Year Published | 1992 |
| Language | English |
| Publisher | Publ by Computational Mechanics Publ |
| Publisher location | Southampton, United Kingdom |
| Larger Work Title | Finite Elements in Water Resources, Proceedings of the International Conference |
| First page | 379 |
| Last page | 386 |
| Conference Title | Proceedings of the 9th International Conference on Computational Methods in Water Resources |
| Conference Location | Denver, CO, USA |
| Conference Date | 1 June 1992 through 1 June 1992 |
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