HR分解的精化扰动界(英文)  

Refined Perturbation Bounds for the HR Decomposition

作　　者：赖降周[1] 卢琳璋[2,3] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108 [2]贵州师范大学数学与计算机科学学院,贵州贵阳550001 [3]厦门大学数学科学学院,厦门福建361005

出　　处：《数学研究》2012年第3期263-270,共8页Journal of Mathematical Study

基　　金：supported by NSFC(10961010/A01 1705,11101087);theScientific Research Fund of Fujian Provincial Education Department(JA11034);the Scientific Research Starting Foundation of Fuzhou University(022427)

摘　　要：给出了HR分解的分量型和范数型的一阶扰动界.对于范数型,新的精化扰动界至少优于已有结果,特别的,新的关于R因子的扰动界远远优于已有的扰动界.In the paper first-order componentwise and normwise perturbation bounds for the HR. decomposition are presented. The new normwise bounds are at least as good as previously known results. In particular, for the R factor, the normwise bound can be significantly tighter than the previous result.

关 键 词：条件估值 HR分解 扰动分析 

分 类 号：O151.21[理学—数学]