scholarly journals On adapting Nesterov's scheme to accelerate iterative methods for linear problems

Author(s):  
Tao Hong ◽  
Irad Yavneh
2015 ◽  
Vol 15 (3) ◽  
pp. 373-389
Author(s):  
Oleg Matysik ◽  
Petr Zabreiko

AbstractThe paper deals with iterative methods for solving linear operator equations ${x = Bx + f}$ and ${Ax = f}$ with self-adjoint operators in Hilbert space X in the critical case when ${\rho (B) = 1}$ and ${0 \in \operatorname{Sp} A}$. The results obtained are based on a theorem by M. A. Krasnosel'skii on the convergence of the successive approximations, their modifications and refinements.


2016 ◽  
Vol 106 (8) ◽  
pp. 538-545 ◽  
Author(s):  
Guanzhe Fa ◽  
Enrico Mazzarolo ◽  
Leqia He ◽  
Bruno Briseghella ◽  
Luigi Fenu ◽  
...  

2014 ◽  
Vol 36 (4) ◽  
pp. 782-789
Author(s):  
Xiao-Wen XU ◽  
Ze-Yao MO ◽  
Lin-Ping WU

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