The DOI matches its Crossref record.
Function minimisation using the Nelder and Mead simplex method with limited arithmetic precision: the self regenerative simplex
Abstract
The behaviour of a curve fitting program is described which uses the Nelder-Mead simplex method to optimise the fit and which works with limited arithmetic precision. Apparent false minima are shown to be due to the creation of various simplex arrays which are regenerated unchanged by the logic of the process. A simple procedure is suggested for detecting the formation of such arrays and initiating restarting the search for the true minimum.
Overview
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
Cited by
A Framework for Operational Modelling of Hospital Resources
Harper, P. R. (2002) · Health Care Management Science · doi:10.1023/a:1019767900627 · Cited by 279
Numerical methods for optimum experimental design in DAE systems.
Bauer, I., Bock, H. G., Körkel, S., & Schlöder, J. P. (2000) · Journal of Computational and Applied Mathematics · doi:10.1016/s0377-0427(00)00300-9 · Cited by 185
Metadata
- Authors
- Akitt, J. W.
- Venue
- The Computer Journal
- Publisher
- Oxford University Press (OUP)
- Published
- 1977-01-01
- Volume
- 20
- Issue
- 1
- Pages
- 84-85
- ISSN
- 0010-4620 (ISSN-L)
- 1460-2067
- OpenAlex
- W2145901369
- Cited by
- 163
- References
- 0
- FWCI
- 3.90
- Type
- journal article
- Language
- en
- Open access
- closed
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: Function minimisation using the Nelder and Mead simplex method with limited arithmetic precision: the self regenerative simplex. https://app.cochat.ai/papers/10.1093/comjnl/20.1.84
- The paper
- Akitt, J. W. (1977). Function minimisation using the Nelder and Mead simplex method with limited arithmetic precision: the self regenerative simplex. The Computer Journal. https://doi.org/10.1093/comjnl/20.1.84
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.
