The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Dud, A Derivative-Free Algorithm for Nonlinear Least Squares
Abstract
Derivative-free nonlinear least squares algorithms which make efficient use of function evaluations are important for fitting models defined by systems of nonlinear differential equations. A new Gauss-Newton-like algorithm with these properties is developed. The performance of the new algorithm (called Dud for “doesn't use derivatives”) is evaluated on a number of standard test problems from the literature. On these problems Dud competes favorably with even the best derivative-based algorithms.
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Citations
Cites
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
Marquardt, D. W. (1963) · Journal of the Society for Industrial and Applied Mathematics · doi:10.1137/0111030 · Cited by 30,728
A Simplex Method for Function Minimization
Nelder, J. A., & Mead, R. (1965) · The Computer Journal · doi:10.1093/comjnl/7.4.308 · Cited by 28,905
(2005) · Statistics for Biology and Health · doi:10.1007/0-387-27255-0_9 · Cited by 20,133
Nelder, J. A., & Wedderburn, R. W. M. (1972) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344614 · Cited by 7,194
Function minimization by conjugate gradients
Fletcher, R. (1964) · The Computer Journal · doi:10.1093/comjnl/7.2.149 · Cited by 4,939
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“Powell [30] Brent [9] Stewart [35] Q.”
A Rapidly Convergent Descent Method for Minimization
Fletcher, R., & Powell, M. J. D. (1963) · The Computer Journal · doi:10.1093/comjnl/6.2.163 · Cited by 4,583
A new approach to variable metric algorithms
Fletcher, R. (1970) · The Computer Journal · doi:10.1093/comjnl/13.3.317 · Cited by 4,068
An Automatic Method for Finding the Greatest or Least Value of a Function
Rosenbrock, H. H. (1960) · The Computer Journal · doi:10.1093/comjnl/3.3.175 · Cited by 2,957
Algorithms for Minimization Without Derivatives
G., D., & Brent, R. P. (1974) · Mathematics of Computation · doi:10.2307/2005713 · Cited by 2,847
Cited by
Relative Curvature Measures of Nonlinearity
Bates, D. M., & Watts, D. G. (1980) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1980.tb01094.x · Cited by 600
Comparison of the Effects of Calcitonin Gene-Related Peptide and Amylin on Osteoblasts
Dr. Cornish, J., Callon, K. E., Lin, C. Q., Xiao, C. L., Gamble, G. D., Cooper, G. J. S., & Reid, I. R. (1999) · Journal of Bone and Mineral Research · doi:10.1359/jbmr.1999.14.8.1302 · Cited by 121
Fesch, C., Simon, W., Haderlein, S. B., Reichert*, P., & Schwarzenbach, R. P. (1998) · Journal of Contaminant Hydrology · doi:10.1016/s0169-7722(97)00078-8 · Cited by 86
Metadata
- Authors
- Ralston, M. L., & Jennrich, R. I.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1978-02
- Volume
- 20
- Issue
- 1
- Pages
- 7-14
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W1987564911
- Cited by
- 364
- References
- 26
- FWCI
- 6.21
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.