Two New Variants of the Simpler Block GMRES Method with Vector Deflation and Eigenvalue Deflation for Multiple Linear Systems

2021 ◽  
Vol 86 (1) ◽  
Author(s):  
Azita Tajaddini ◽  
Gang Wu ◽  
Farid Saberi-Movahed ◽  
Najmeh Azizizadeh
Keyword(s):  
Linear Systems ◽  
Gmres Method ◽  
Multiple 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

A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides

2013 ◽  
Vol 35 (5) ◽  
pp. S345-S367 ◽  
Author(s):  
Henri Calandra ◽  
Serge Gratton ◽  
Rafael Lago ◽  
Xavier Vasseur ◽  
Luiz Mariano Carvalho
Keyword(s):  
Linear Systems ◽  
Gmres Method ◽  
Right Hand ◽  
Modified Block
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