Gradient methods with improved convergence rate
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 3, pp. 374-382
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A very simple modification is proposed for the steepest descent and minimum residual methods that makes it possible to substantially improve the convergence rate of these methods. The proposed approach is universal and does not require any adjustment to the spectrum of a matrix. Its efficiency is confirmed by numerous computational experiments.
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E. A. Alshina; A. A. Boltnev; O. A. Kacher. Gradient methods with improved convergence rate. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 3, pp. 374-382. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_3_a1/

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