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Hybrid modification of accelerated double direction method

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Publikovan rad (1.419Mb)
Date
2018-11-06
Authors
Petrović, Milena
Stanimirović, Predrag
Kontrec, Nataša
Mladenović, Julija
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Abstract
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.
URI
https://platon.pr.ac.rs/handle/123456789/1251
DOI
https://doi.org/10.1155/2018/1523267
M category
M22
openAccess
M22
openAccess
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