NEW PERTURBATION BOUNDS IN UNITARILY INVARIANT NORMS FOR SUBUNITARY POLAR FACTORS

被引：0

作者：

Zhu, Lei ^{[1
]}

Xu, Wei-wei ^{[2
]}

Liu, Hao ^{[3
]}

Ma, Li-juan ^{[2
]}

机构：

[1] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Jiangsu, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[3] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2018年 / 34卷

关键词：

Perturbation upper bounds; Subunitary polar factor; Unitarily invariant norm; Q-Norm;

D O I：

10.13001/1081-3810.3528

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A is an element of C-mxn have generalized polar decomposition A = QH with Q subunitary and H positive semidefinite. Absolute and relative perturbation bounds are derived for the subunitary polar factor Q in unitarily invariant norms and in Q-norms, that extend and improve existing bounds.

引用

页码：231 / 239

页数：9

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