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Study on fractional order gradient methods.
- Source :
-
Applied Mathematics & Computation . Dec2017, Vol. 314, p310-321. 12p. - Publication Year :
- 2017
-
Abstract
- In this paper, convergence capability of the conventional fractional order gradient methods (FOGMs) is analyzed and a new FOGM with guaranteed and faster convergence ability is proposed. In particular, we further consider the case that the derivative order varies between 1 and 2, and give some discussion on how to determine the derivative order in the algorithm settings. Simulation results from a number of numerical examples are provided to illustrate the approaches. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 314
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 124577981
- Full Text :
- https://doi.org/10.1016/j.amc.2017.07.023