scholarly journals Block GMRES Method with Inexact Breakdowns and Deflated Restarting

2014 ◽  
Vol 35 (4) ◽  
pp. 1625-1651 ◽  
Author(s):  
E. Agullo ◽  
L. Giraud ◽  
Y.-F. Jing
Keyword(s):  
Gmres Method ◽  
Deflated Restarting

scholarly journals A block GMRES method with deflated restarting for solving linear systems with multiple shifts and multiple right-hand sides

2018 ◽  
Vol 25 (5) ◽  
pp. e2148 ◽  
Author(s):  
Dong-Lin Sun ◽  
Ting-Zhu Huang ◽  
Yan-Fei Jing ◽  
Bruno Carpentieri
Keyword(s):  
Linear Systems ◽  
Gmres Method ◽  
Right Hand ◽  
Deflated Restarting

On the block GMRES method with deflated restarting

2011 ◽  
Vol 218 (5) ◽  
pp. 2146-2154
Author(s):  
Yiqin Lin ◽  
Wenbo Li ◽  
Liang Bao ◽  
Qinghua Wu
Keyword(s):  
Gmres Method ◽  
Deflated Restarting

GPU-accelerated preconditioned GMRES method for two-dimensional Maxwell's equations

2017 ◽  
Vol 94 (10) ◽  
pp. 2122-2144 ◽  
Author(s):  
Jiaquan Gao ◽  
Kesong Wu ◽  
Yushun Wang ◽  
Panpan Qi ◽  
Guixia He
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Gmres Method ◽  
Two Dimensional ◽  
Preconditioned Gmres

The Linear System Solver of Programs Named CORTH and KYLIN2

2017 ◽  
Author(s):  
Pingzhou Ming ◽  
Junjie Pan ◽  
Xiaolan Tu ◽  
Dong Liu ◽  
Hongxing Yu
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Nuclear Power ◽  
Experimental Results ◽  
Gmres Method ◽  
Thermal Hydraulics ◽  
Lattice Calculation ◽  
Minimal Residual

Sub-channel thermal-hydraulics program named CORTH and assembly lattice calculation program named KYLIN2 have been developed in Nuclear Power Institute of China (NPIC). For the sake of promoting the computing efficiency of these programs and achieving the better description on fined parameters of reactor, the programs’ structure and details are interpreted. Then the characteristics of linear systems of these programs are analyzed. Based on the Generalized Minimal Residual (GMRES) method, different parallel schemes and implementations are considered. The experimental results show that calculation efficiencies of them are improved greatly compared with the serial situation.

scholarly journals A Simpler GMRES Method for Oscillatory Integrals with Irregular Oscillations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Qinghua Wu ◽  
Meiying Xiang
Keyword(s):  
Theoretical Analysis ◽  
Matrix Factorization ◽  
Numerical Experiments ◽  
Oscillatory Integral ◽  
Oscillatory Integrals ◽  
New Method ◽  
Gmres Method ◽  
Hessenberg Matrix

A simpler GMRES method for computing oscillatory integral is presented. Theoretical analysis shows that this method is mathematically equivalent to the GMRES method proposed by Olver (2009). Moreover, the simpler GMRES does not require upper Hessenberg matrix factorization, which leads to much simpler program and requires less work. Numerical experiments are conducted to illustrate the performance of the new method and show that in some cases the simpler GMRES method could achieve higher accuracy than GMRES.

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