Convergence analyses for the FOM and GMRES algorithm

2015 ◽  
pp. 211-216
Keyword(s):  
Gmres Algorithm

GMRES Algorithm for Large-Scale Vectoring in DSL Systems

2018 ◽  
Vol 25 (8) ◽  
pp. 1171-1175
Author(s):  
S. M. Zafaruddin ◽  
Surendra Prasad
Keyword(s):  
Large Scale ◽  
Gmres Algorithm

scholarly journals Usage of the convergence test of the residual norm in the Tsuno-Nodera version of the GMRES algorithm

2007 ◽  
Vol 49 (2) ◽  
pp. 293-308
Author(s):  
K. Moriya ◽  
T. Nodera
Keyword(s):  
Distribution Of Zeros ◽  
Numerical Examples ◽  
Convergence Test ◽  
New Variant ◽  
Residual Norm ◽  
Gmres Algorithm

AbstractTsuno and Nodera proposed a new variant of the GMRES(m) algorithm. Their algorithm is referred to as the GMRES(≤ mmax) algorithm and performs the restart process adaptively, considering the distribution of the zeros of the residual polynomial. However, unless the zeros of the residual polynomial are distributed uniformly, mass is always chosen and their algorithm becomes almost the same as the GMRES(m) algorithm with m = mmax. In this paper, we include a convergence test for the residual norm in the GMRES(≤ mmax) algorithm and propose a new restarting technique based on two criteria. Even if the distribution of zeros does not become uniform, the restart can be performed by using the convergence test of the residual norm. Numerical examples simulated on a Compaq Beowulf computer demonstrate that the proposed technique accelerates the convergence of the GMRES(≤ mmax) algorithm.

Acceleration of the exponential function expansion nodal SP3 method by multi-group GMRES algorithm for PWR pin-by-pin calculation

2018 ◽  
Vol 120 ◽  
pp. 869-879 ◽  
Author(s):  
Wen Yang ◽  
Hongchun Wu ◽  
Yunzhao Li ◽  
Liangzhi Cao ◽  
Sicheng Wang
Keyword(s):  
Exponential Function ◽  
Function Expansion ◽  
Gmres Algorithm

Three-dimensional Numerical Solution Based on GMRES Algorithm Applied to Heat Sinks

2019 ◽  
Author(s):  
Tobias Luiz Marchioro Toassi ◽  
Francisco Augusto Aparecido Gomes ◽  
Igor Sousa
Keyword(s):  
Numerical Solution ◽  
Three Dimensional ◽  
Heat Sinks ◽  
Gmres Algorithm
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