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Cited by 759

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives

Powell, M. J. D.·1965·The Computer Journal
DOI 10.1093/comjnl/7.4.303
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Abstract

The minimum of a sum of squares can often be found very efficiently by applying a generalization of the least squares method for solving overdetermined linear simultaneous equations. An original method that has comparable convergence but, unlike the classical procedure, does not require any derivatives is described and discussed in this paper. The number of times the individual terms of the sum of squares have to be calculated is approximately proportional to the number of variables. Finding a solution to a set of fifty non-linear equations in fifty unknowns required the left-hand sides of the equations to be worked out fewer than two hundred times.

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Metadata

Authors
Powell, M. J. D.
Venue
The Computer Journal
Publisher
Oxford University Press (OUP)
Published
1965-01-01
Volume
7
Issue
4
Pages
303-307
ISSN
  • 0010-4620 (ISSN-L)
  • 1460-2067
DOI
10.1093/comjnl/7.4.303
OpenAlex
W2145045474
Cited by
759
References
5
FWCI
8.25
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives. https://app.cochat.ai/papers/10.1093/comjnl/7.4.303
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Powell, M. J. D. (1965). A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives. The Computer Journal. https://doi.org/10.1093/comjnl/7.4.303

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.