总体极小向后扰动块方法求解多右端对称线性方程组  

Total Minimum Backward Perturbation Block Method for Solving Symmetric Linear Systems with Multiple Right-hand Sides

作　　者：朱景福 李欣 孟亚辉 Zhu Jingfu;Li Xin;Meng Yahui(College of Science,Guangdong University Petrochemical Technology,Maoming525000)

机构地区：[1]广东石油化工学院理学院,茂名525000

出　　处：《黑龙江八一农垦大学学报》2022年第5期132-138,共7页journal of heilongjiang bayi agricultural university

基　　金：广东石油化工学院人才引进项目(2018rc44,2018rc45)。

摘　　要：研究求解多右端对称线性方程组AX=B的新方法,考虑在利用块Lanczos过程求解多右端对称线性方程组时,采用总体极小向后扰动范数作为终止算法的条件,建立求解多右端对称线性方程组的总体极小向后扰动块Lanczos方法。给出总体向后扰动的格式和总体极小向后扰动范数的求法,并通过理论分析和数值对比实验讨论算法的可行性、有效性。New method for solving symmetric linear systems with multiple right-hand sides AX=B was studied by using the minimal norm of the total backward perturbation as the termination of the block Lanczos process,total minimal backward perturbation block method was presented.The form of the total backward perturbation and the method of the total minimal backward perturbation norm were given.Theoretical analysis and numerical comparison experiments were reported to illustrate the feasibility and the effectiveness of new methods.

关 键 词：KRYLOV子空间 多右端 线性方程组 块Lanczos过程 总体极小向后扰动 

分 类 号：O242.2[理学—计算数学]