Hybrid modification of accelerated double direction method
type: Item
instance of: scholarly article
title: Hybrid modification of accelerated double direction method
zbMATH Open document ID: 1426.90199
DOI: 10.1155/2018/1523267
author: Milena J. Petrović
author: Predrag S. Stanimirović
author: Julija Mladenović
author: Nataša Z. Kontrec
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We present a hybridization of the accelerated gradient method with two vector directions. This hybridization is based on the usage of a chosen three-term hybrid model. Derived hybrid accelerated double direction model keeps preferable properties of both included methods. Convergence analysis demonstrates at least linear convergence of the proposed iterative scheme on the set of uniformly convex and strictly convex quadratic functions. The results of numerical experiments confirm better performance profile in favor of derived hybrid accelerated double direction model when compared to its forerunners.
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 90C52
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 7018494
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1523267
OpenAlex ID: W2899960592
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Wikidata QID: Q128912232
description: scientific article; zbMATH DE number 7018494