典型文献
Accelerating the HS-type Richardson Iteration Method with Anderson Mixing
文献摘要：
The Accelerated Hermitian/skew-Hermitian type Richardson(AHSR)iteration methods are presented for solving non-Hermitian positive definite linear systems with three schemes,by using Anderson mixing.The upper bounds of spectral radii of iteration matrices are studied,and then the convergence theories of the AHSR iteration methods are established.Furthermore,the optimal iteration parameters are provided,which can be computed exactly.In addition,the application to the model convection-diffusion equation is depicted and numerical experiments are conducted to exhibit the effectiveness and confirm the theoretical analysis of the AHSR iteration methods.
文献关键词：
中图分类号：
作者姓名：
Zhi Zhi LI;Huai ZHANG;Le OU-YANG
作者机构：
Key Laboratory of Computational Geodynamics,University of Chinese Academy of Sciences,Beijing 100049,P.R.China;Guangdong Key Laboratory of Intelligent Information Processing,Shenzhen Key Laboratory of Media Security,and Guangdong Laboratory of Artificial Intelligence and Digital Economy(SZ),College of Electronics and Information Engineering,Shenzhen University,Shenzhen 518060,P.R.China
文献出处：
引用格式：
[1]Zhi Zhi LI;Huai ZHANG;Le OU-YANG-.Accelerating the HS-type Richardson Iteration Method with Anderson Mixing)[J].数学学报（英文版）,2022(11):2069-2089
A类：
AHSR
B类：
Accelerating,type,Richardson,Iteration,Method,Anderson,Mixing,Accelerated,Hermitian,skew,iteration,methods,are,presented,solving,positive,definite,linear,systems,three,schemes,by,using,mixing,upper,bounds,spectral,radii,matrices,studied,then,convergence,theories,established,Furthermore,optimal,parameters,provided,which,can,be,computed,exactly,In,addition,application,model,convection,diffusion,equation,depicted,numerical,experiments,conducted,exhibit,effectiveness,confirm,theoretical,analysis
AB值：
0.635236
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