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Mathematical Programming
Article
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Mathematical Programming
Article . 1974 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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zbMATH Open
Article
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DBLP
Article . 2017
Data sources: DBLP
https://dx.doi.org/10.1007/bf0...
Article
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A modified secant method for unconstrained minimization

A modified secant method for unconstrai ed minimization
descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1974 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 6, pages 264-280 (issn: 0025-5610, eissn: 1436-4646, Copyright policy )
Authors: Elijah Polak;

doi: 10.1007/bf01580245

A modified secant method for unconstrained minimization

Abstract

This paper presents a new globally convergent secant method for unconstrained optimization. The root rate of convergence of this algorithm is superlinear, between 1 and 2, decreasing with dimension of the problem. It is shown that on a class of problems, it is substantially more efficient than a number of other algorithms.

Related Organizations
Keywords

Convex programming, Numerical mathematical programming methods, Nonlinear programming

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
bronze