A method for verifying the accuracy of numerical solutions of symmetric saddle point linear systems
A method for verifying the accuracy of numerical solutions of symmetric saddle point linear systems
复制标题
一种验证对称鞍点线性系统数值解精度的方法
DOI：
10.1007/s11075-016-0240-6
复制
发表时间：
2017
影响因子：
2.1
通讯作者：
Shin’ichi Oishi
中科院分区：
文献类型：
--
作者：
Ryo Kobayashi;Takuma Kimura;Shin’ichi Oishi
提出了一种快速数值验证方法，用于评估系数矩阵对角块为半定矩阵的对称鞍点线性系统数值解的准确性。该方法基于块对角线预处理的代数分析结果。一些数值实验说明了该方法的有用性。
A fast numerical verification method is proposed for evaluating the accuracy of numerical solutions for symmetric saddle point linear systems whose diagonal blocks of the coefficient matrix are semidefinite matrices. The method is based on results of an algebraic analysis of a block diagonal preconditioning. Some numerical experiments are present to illustrate the usefulness of the method.