A GLOBALLY CONVERGENT MODIFIED MULTIVARIATE VERSION OF THE METHOD OF MOVING ASYMPTOTES

In this paper, we introduce an extension of our previous paper, A globally convergent version to the Method of Moving Asymptotes, in a multivariate setting. The proposed multivariate version is a globally convergent result for a new method, which consists iteratively of the solution of a modified ve...

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Bibliographic Details
Published in:Applicable analysis and discrete mathematics 2021, Vol.15 (2), p.519-535
Main Authors: Guessab, Allal, Driouch, Abderrazak
Format: Article
Language:English
Subjects:
Computer Science
Numerical Analysis
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Summary:In this paper, we introduce an extension of our previous paper, A globally convergent version to the Method of Moving Asymptotes, in a multivariate setting. The proposed multivariate version is a globally convergent result for a new method, which consists iteratively of the solution of a modified version of the method of moving asymptotes. It is shown that the algorithm generated has some desirable properties. We state the conditions under which the present method is guaranteed to converge geometrically. The resulting algorithms are tested numerically and compared with several well-known methods.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM190325033G