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Function minimization by conjugate gradients
Abstract
A quadratically convergent gradient method for locating an unconstrained local minimum of a function of several variables is described. Particular advantages are its simplicity and its modest demands on storage, space for only three vectors being required. An ALGOL procedure is presented, and the paper includes a discussion of results obtained by its used on various test functions.
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Cited by
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Introduction to multi-layer feed-forward neural networks
Svozil, D., Kvasnicka, V., & Pospichal, J. (1997) · Chemometrics and Intelligent Laboratory Systems · doi:10.1016/s0169-7439(97)00061-0 · Cited by 1,600
Deformable medical image registration: a survey
Sotiras, A., Davatzikos, C., & Paragios, N. (2013) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2013.2265603 · Cited by 1,587
“Among the well-known formulas for β t , one may cite the Fletcher-Reeves [404], the Polak-Ribi`ere [405], the Polak-Ribi`ere-Polyak [406] and the Hestenes-Stiefel [407].”
MethodHardware implementation of memristor-based artificial neural networks
Aguirre, F., Sebastian, A., Le Gallo, M., Song, W., Wang, T., Yang, J. J., Lu, W., Chang, M.-F., Ielmini, D., Yang, Y., et al. (2024) · Nature Communications · doi:10.1038/s41467-024-45670-9 · Cited by 564
“(cid:129) Fixed Learningrate [178] (cid:129) Variable LearningRate paragraph ’ s explanation) and its variants (Gradient Descent with Momentum 165 ), (ii) Newton (analytically complex, as besides the gradient it also requires the Hessian matrix associated of the loss function) and Quasi-Newton methods (which operates…”
Liu, Q.-F., Iqbal, M. F., Yang, J., Lu, X.-Y., Zhang, P., & Rauf, M. (2021) · Construction and Building Materials · doi:10.1016/j.conbuildmat.2020.121082 · Cited by 259
Metadata
- Authors
- Fletcher, R.
- Venue
- The Computer Journal
- Publisher
- Oxford University Press (OUP)
- Published
- 1964-02-01
- Volume
- 7
- Issue
- 2
- Pages
- 149-154
- ISSN
- 0010-4620 (ISSN-L)
- 1460-2067
- OpenAlex
- W2012231377
- Cited by
- 4,939
- References
- 0
- FWCI
- 12.62
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Function minimization by conjugate gradients. https://app.cochat.ai/papers/10.1093/comjnl/7.2.149
- The paper
- Fletcher, R. (1964). Function minimization by conjugate gradients. The Computer Journal. https://doi.org/10.1093/comjnl/7.2.149
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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.
