The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Direct search methods: then and now
Open accessOverview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
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
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
Lagarias, J. C., Reeds, J. A., Wright, M. H., & Wright, P. E. (1998) · SIAM Journal on Optimization · doi:10.1137/s1052623496303470 · Cited by 7,447
Powell, M. J. D. (1964) · The Computer Journal · doi:10.1093/comjnl/7.2.155 · Cited by 4,632
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
On the Experimental Attainment of Optimum Conditions
Box, G. E. P., & Wilson, K. B. (1951) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1951.tb00067.x · Cited by 4,464
`` Direct Search'' Solution of Numerical and Statistical Problems
Hooke, R., & Jeeves, T. A. (1961) · Journal of the ACM · doi:10.1145/321062.321069 · Cited by 4,254
On the Experimental Attainment of Optimum Conditions
Box, G. E. P., & Wilson, K. B. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-4380-9_23 · Cited by 3,448
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
Minimization of functions having Lipschitz continuous first partial derivatives
Armijo, L. (1966) · Pacific Journal of Mathematics · doi:10.2140/pjm.1966.16.1 · Cited by 1,983
Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation
Spendley, W., Hext, G. R., & Himsworth, F. R. (1962) · Technometrics · doi:10.1080/00401706.1962.10490033 · Cited by 1,379
Cited by
Single- and multiobjective evolutionary optimization assisted by Gaussian random field metamodels
Emmerich, M. T. M., Giannakoglou, K. C., & Naujoks, B. (2006) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2005.859463 · Cited by 759
Model selection, identification and validation in anaerobic digestion: A review
Donoso-Bravo, A., Mailier, J., Martin, C., Rodríguez, J., Aceves-Lara, C. A., & Wouwer, A. V. (2011) · Water Research · doi:10.1016/j.watres.2011.08.059 · Cited by 332
Waag, W., & Sauer, D. U. (2013) · Applied Energy · doi:10.1016/j.apenergy.2013.05.001 · Cited by 216
Han, I.-S., & Chung, C.-B. (2016) · International Journal of Hydrogen Energy · doi:10.1016/j.ijhydene.2016.04.247 · Cited by 141
Globally optimised parameters for a model of mitotic control in frog egg extracts.
Zwolak, J. W., Tyson, J. J., & Watson, L. T. (2005) · IEE Proceedings - Systems Biology · doi:10.1049/ip-syb:20045032 · Cited by 49
Metadata
- Authors
- Lewis, R. M., Torczon, V., & Trosset, M. W.
- Venue
- Journal of Computational and Applied Mathematics
- Publisher
- Elsevier BV
- Published
- 2000-12
- Volume
- 124
- Issue
- 1-2
- Pages
- 191-207
- ISSN
- 0377-0427 (ISSN-L)
- OpenAlex
- W1999024797
- Cited by
- 648
- References
- 24
- FWCI
- 14.23
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Direct search methods: then and now. https://app.cochat.ai/papers/10.1016/s0377-0427(00)00423-4
- The paper
- Lewis, R. M., Torczon, V., & Trosset, M. W. (2000). Direct search methods: then and now. Journal of Computational and Applied Mathematics. https://doi.org/10.1016/s0377-0427(00)00423-4
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
