Further lower bounds for the smallest singular value

被引:38
|
作者
Johnson, CR [1 ]
Szulc, T
机构
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0024-3795(97)00330-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In an earlier paper of the first author, Gersgorin's theorem was used in a novel way to give a simple lower bound for the smallest singular value of a general complex matrix. That lower bound was stronger than previous published bounds. Here, we use three variants of Gersgorin's theorem in a similar way to give further lower bounds. Each of the new bounds is more complicated, but generally stronger, than the pure Gersgorin-based bound. The three new bounds are mutually noncomparable. (C) 1998 Elsevier Science Inc.
引用
收藏
页码:169 / 179
页数:11
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