On the accelerating property of an algorithm for function minimization without calculating derivatives

Frank Callier; Philippe Toint

doi:10.1007/BF00933468

On the accelerating property of an algorithm for function minimization without calculating derivatives

Frank Callier, Philippe Toint

Universite de Namur

Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

Résumé

It is shown that the alogrithm of Ref. E1, when converging on a uniformly convex function and when technical condition (13) of Ref. E1 is satisfied, has an n-iteration Q-superlinear rate of convergence and a behaviour which is a precursor of every-iteration Q-superlinearity. This result overrides and corrects main result Theorem 3.1 of Ref. E1. © 1978 Plenum Publishing Corporation.

langue originale	Anglais
Pages (de - à)	465-467
Nombre de pages	3
journal	Journal of Optimization Theory and Applications.
Volume	26
Numéro de publication	4
Les DOIs	https://doi.org/10.1007/BF00933468
Etat de la publication	Publié - 1 nov. 1978

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10.1007/BF00933468

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ADALGOPT: ADALGOPT - Algorithmes avancés en optimisation non-linéaire
Sartenaer, A. & TOINT, P.
1/01/87 → …
Projet: Axe de recherche

Contient cette citation

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abstract = "It is shown that the alogrithm of Ref. E1, when converging on a uniformly convex function and when technical condition (13) of Ref. E1 is satisfied, has an n-iteration Q-superlinear rate of convergence and a behaviour which is a precursor of every-iteration Q-superlinearity. This result overrides and corrects main result Theorem 3.1 of Ref. E1. {\textcopyright} 1978 Plenum Publishing Corporation.",

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AU - Toint, Philippe

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AB - It is shown that the alogrithm of Ref. E1, when converging on a uniformly convex function and when technical condition (13) of Ref. E1 is satisfied, has an n-iteration Q-superlinear rate of convergence and a behaviour which is a precursor of every-iteration Q-superlinearity. This result overrides and corrects main result Theorem 3.1 of Ref. E1. © 1978 Plenum Publishing Corporation.

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JO - Journal of Optimization Theory and Applications.

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On the accelerating property of an algorithm for function minimization without calculating derivatives

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Projets

ADALGOPT: ADALGOPT - Algorithmes avancés en optimisation non-linéaire

Contient cette citation