scholarly journals GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

1986 ◽  
Vol 7 (3) ◽  
pp. 856-869 ◽  
Author(s):  
Youcef Saad ◽  
Martin H. Schultz
Keyword(s):  
Linear Systems ◽  
Nonsymmetric Linear Systems ◽  
Residual Algorithm ◽  
Minimal Residual

scholarly journals A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems

2014 ◽  
Vol 67 (10) ◽  
pp. 1743-1755 ◽  
Author(s):  
Dong-Lin Sun ◽  
Yan-Fei Jing ◽  
Ting-Zhu Huang ◽  
Bruno Carpentieri
Keyword(s):  
Linear Systems ◽  
Nonsymmetric Linear Systems ◽  
Minimal Residual

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.

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