Treffer: Further insight into the Shamanskii modification of Newton method
Title:
Further insight into the Shamanskii modification of Newton method
Authors:
Source:
Applied mathematics and computation. 180(1):46-52
Publisher Information:
New York, NY: Elsevier, 2006.
Publication Year:
2006
Physical Description:
print, 7 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Sciences appliquees, Applied sciences, Recherche operationnelle. Gestion, Operational research. Management science, Recherche opérationnelle et modèles formalisés de gestion, Operational research and scientific management, Optimisation. Problèmes de recherche, Optimization. Search problems, Analyse numérique, Numerical analysis, Análisis numérico, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Méthode Newton, Newton method, Método Newton, Méthode itérative, Iterative method, Método iterativo, Optimisation sans contrainte, Unconstrained optimization, Optimización sin restricción, Convergence globale, Convergence superlinéaire, Méthode Shamanskii, Shamanskii method, Global and superlinear convergence
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Institute of Operations Research, Qufu Normal University, Rizhao Shandong 276800, China
Department of Mathematics, Qingdao University, Shandong 266071, China
Department of Mathematics, Qingdao University, Shandong 266071, China
ISSN:
0096-3003
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Operational research. Management
Operational research. Management
Accession Number:
edscal.18357057
Database:
PASCAL Archive
Weitere Informationen
In this paper, a new Wolfe-type line search is proposed, and the global and superlinear of the Shamanskii method with the new line search are proved under mild assumptions. Furthermore, the iterative scheme of the Shamanskii method is also generalized.