Hybrid Modification of Accelerated Double Direction Method

Milena J. Petrović, Predrag S. Stanimirović, Nataša Kontrec and Julija Mladenović

Mathematical Problems in Engineering, 2018, vol. 2018, 1-8

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1523267

DOI: 10.1155/2018/1523267

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