A block varaint of the GMRES method for unsymmetric linear systems

1996 ◽  
Vol 1 (3-4) ◽  
pp. 508-514
Author(s):  
Guanye Li
Keyword(s):  
Linear Systems ◽  
Gmres Method ◽  
Unsymmetric Linear Systems

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 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
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