Result: An H-form variant of the partitioned QN method
Title:
An H-form variant of the partitioned QN method
Authors:
Source:
5th IMACS Conference on Iterative Methods in Scientific Computing, 28-31 May, 2001, Heraklion, Crete (Greece)Applied numerical mathematics. 45(1):79-85
Publisher Information:
Amsterdam: Elsevier, 2003.
Publication Year:
2003
Physical Description:
print, 12 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, 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, Méthodes de calcul scientifique (y compris calcul symbolique, calcul algébrique), Methods of scientific computing (including symbolic computation, algebraic computation), Analyse numérique, Numerical analysis, Análisis numérico, Fonction polynomiale, Polynomial function, Función polinomial, Méthode partition, Partition method, Método partición, Méthode quasi Newton, Quasi Newton method, Método cuasi Newton, Parallélisation, Parallelization, Paralelisacíon
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Biological Sciences, Brunel University, Uxbridge UB8 3PH, United Kingdom
ISSN:
0168-9274
Rights:
Copyright 2004 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
Accession Number:
edscal.15459503
Database:
PASCAL Archive
Further Information
This paper introduces a technique for transforming partitioned quasi-Newton algorithms into H-form algorithms. The resulting algorithms have essentially the same space requirements as the standard partitioned QN method, but involve only a global matrix-vector multiplication (rather than a global solution by conjugate gradients) at each iteration. Results demonstrate that the method, which is highly suitable for parallelization, is competitive with other quasi-Newton methods in minimizing partially separable polynomial functions of large dimension.