A globally convergent modified multivariate version of the method of moving asymptotes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Applicable Analysis and Discrete Mathematics Année : 2021

A globally convergent modified multivariate version of the method of moving asymptotes

Résumé

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.

Dates et versions

hal-03837503 , version 1 (02-11-2022)

Identifiants

Citer

Allal Guessab, Abderrazak Driouch. A globally convergent modified multivariate version of the method of moving asymptotes. Applicable Analysis and Discrete Mathematics, 2021, 15 (2), pp.519-535. ⟨10.2298/AADM190325033G⟩. ⟨hal-03837503⟩
16 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More