Upper bounds on the distribution of the condition number of singular matrices

被引：3
|
作者：
Beltrán, C [1 ]
Pardo, LM [1 ]
机构：
[1] Univ Cantabria, F Ciencias, Dept Matemat Estadist & Computac, Santander 39071, Spain
来源：
COMPTES RENDUS MATHEMATIQUE | 2005年 / 340卷 / 12期
关键词：
D O I：
10.1016/j.crma.2005.05.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We exhibit upper bounds for the probability distribution of the generalized condition number of singular complex matrices. To this end, we develop a new technique to study volumes of tubes about projective varieties in the complex projective space. As a main outcome, we show an upper bound estimate for the volume of the intersection of a tube with an equi-dimensional projective algebraic variety. (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.
引用
收藏
页码：915 / 919
页数：5
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