Numerical Analysis in Nonlinear Least Squares Methods and Applications
The approximate greatest descent (AGD) method and a two-phase AGD method (AGDN) are proposed as new methods for a nonlinear least squares problem. Numerical experiments show that these methods outperform existing methods including the Levenberg-Marquardt method. However, the AGDN method outperforms...
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| Format: | Thesis |
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Curtin University
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/70491 |
| _version_ | 1848762270499209216 |
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| author | Eu, Christina Nguk Ling |
| author_facet | Eu, Christina Nguk Ling |
| author_sort | Eu, Christina Nguk Ling |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The approximate greatest descent (AGD) method and a two-phase AGD method (AGDN) are proposed as new methods for a nonlinear least squares problem. Numerical experiments show that these methods outperform existing methods including the Levenberg-Marquardt method. However, the AGDN method outperforms the AGD method with a faster convergence. If the AGDN method fails due to singularity of the Hessian matrix, the AGD method should be used. |
| first_indexed | 2025-11-14T10:44:54Z |
| format | Thesis |
| id | curtin-20.500.11937-70491 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:44:54Z |
| publishDate | 2017 |
| publisher | Curtin University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-704912018-11-19T07:45:48Z Numerical Analysis in Nonlinear Least Squares Methods and Applications Eu, Christina Nguk Ling The approximate greatest descent (AGD) method and a two-phase AGD method (AGDN) are proposed as new methods for a nonlinear least squares problem. Numerical experiments show that these methods outperform existing methods including the Levenberg-Marquardt method. However, the AGDN method outperforms the AGD method with a faster convergence. If the AGDN method fails due to singularity of the Hessian matrix, the AGD method should be used. 2017 Thesis http://hdl.handle.net/20.500.11937/70491 Curtin University fulltext |
| spellingShingle | Eu, Christina Nguk Ling Numerical Analysis in Nonlinear Least Squares Methods and Applications |
| title | Numerical Analysis in Nonlinear Least Squares Methods and Applications |
| title_full | Numerical Analysis in Nonlinear Least Squares Methods and Applications |
| title_fullStr | Numerical Analysis in Nonlinear Least Squares Methods and Applications |
| title_full_unstemmed | Numerical Analysis in Nonlinear Least Squares Methods and Applications |
| title_short | Numerical Analysis in Nonlinear Least Squares Methods and Applications |
| title_sort | numerical analysis in nonlinear least squares methods and applications |
| url | http://hdl.handle.net/20.500.11937/70491 |