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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Journal of Optimizat...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Journal of Optimization Theory and Applications
Article . 1990 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1990
Data sources: zbMATH Open
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Vectorization of conjugate-gradient methods for large-scale minimization in meteorology

Authors: Navon, I.M.; Phua, P.K.H.; Ramamurthy, M.;

Vectorization of conjugate-gradient methods for large-scale minimization in meteorology

Abstract

During the last few years, conjugate-gradient methods were found to be the best available tool for large-scale minimization of nonlinear functions occurring in geophysical applications. While vectorization techniques have been applied to linear conjugate-gradient methods designed to solve symmetric linear systems of algebraic equations, arising mainly from discretization of elliptic partial differential equations, due to their suitability for vector or parallel processing, no such effort was undertaken for the nonlinear conjugate-gradient method for large-scale unconstrained minimization. Computational results are presented here using a robust memoryless quasi- Newton-like conjugate-gradient algorithm developed in a paper by \textit{D. F. Shanno} and \textit{K. H. Phua} [ACM Trans. Math. Software 6, 618-622 (1980)] applied to a set of large-scale meteorological problems. These results point to the vectorization of the conjugate-gradient code inducing a significant speed-up in the function and gradient evaluation for the nonlinear conjugate-gradient method, resulting in a sizable reduction in the CPU time for minimizing nonlinear functions of \(10^ 4\) to \(10^ 5\) variables. This is particularly true for many real-life problems where the gradient and function evaluations take the bulk of the computational effort. It is concluded that vector computers are advantageous for large-scale numerical optimization problems where local minima of nonlinear functions are to be found using the nonlinear conjugate-gradient method.

Country
Singapore
Keywords

Large-scale problems in mathematical programming, large-scale meteorological problems, Conjugate-gradient methods, meteorological problems, Methods of reduced gradient type, Newton-type methods, Meteorology and atmospheric physics, conjugate-gradient methods, 510, Applications of mathematical programming, Numerical mathematical programming methods, Nonlinear programming, direct minimization, large-scale minimization, vectorization, Distributed algorithms, robust memoryless quasi- Newton-like conjugate-gradient algorithm

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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!
4
Average
Average
Average
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