thumbnail

Comparison of three newton-like nonlinear least-squares methods for estimating parameters of ground-water flow models

By:  and 

Links

  • The Publications Warehouse does not have links to digital versions of this publication at this time
  • Download citation as: RIS | Dublin Core

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.

Additional publication details

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
Google Analytic Metrics Metrics page