一类 3 × 3 块鞍点系统解的结构向后误差分析  

Structured Backward Error Analysisfor a Class of Block Three-by-ThreeSaddle Point System

作　　者：邢嘉璐 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《理论数学》2023年第2期265-284,共20页Pure Mathematics

摘　　要：近年来,一些作者提出了很多求解一类特殊的 3 ×3 块鞍点系统的有效选代方法。为了便于评估这些数值算法的强稳定性,本文对这种类型的 3 ×3 块鞍点系统进行了结构向后误差分析,并给出了结构向后误差的可计算的具体表达式。数值实验表明,该表达式可用于检验实际算法的稳定性。In recent years, a number of authors have proposed effcient iteration methods for solving a special class of block 3×3 saddle point systems. In order to evaluate the strong stability of these numerical algorithms, this paper perform the structured backward error analysis for this type of block 3 ×3 saddle point system and present an explicit and computable formula for the structured backward error. Numerical example show that the expressions are useful for testing the stability of practical algorithms.

关 键 词：3 × 3 块鞍点问题 向后误差 结构向后误差 

分 类 号：O22[理学—运筹学与控制论]