| 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. |
| Genre: | Conference Paper |
| ProdID: | 70016922 |
| Citation Author: | Cooley, R. L.; Hill, M. C. |
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| Citation End Page: | 386 |
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| Citation Language: | English |
| Citation Larger Work Title: | Finite Elements in Water Resources, Proceedings of the International Conference |
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| Citation Number Of Pages: | 8 |
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| Citation Publisher: | Publ by Computational Mechanics Publ |
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| Citation Search Results Text: | Comparison of three newton-like nonlinear least-squares methods for estimating parameters of ground-water flow models; 1992; Conference Paper; Finite Elements in Water Resources, Proceedings of the International Conference; Cooley, R. L.; Hill, M. C. |
| Citation Start Page: | 379 |
| Citation Volume: | 1 |
| Citation Year: | 1992 |
| Type: | citation/reference |
| Text: | Comparison of three newton-like nonlinear least-squares methods for estimating parameters of ground-water flow models; 1992; Conference Paper; Finite Elements in Water Resources, Proceedings of the International Conference; Cooley, R. L.; Hill, M. C. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Wed, 1 Jan 1992 00:00 -0600 |
| Publisher: | Publ by Computational Mechanics Publ |
