Equivalence of the Wielandt inequality and the Kantorovich inequality

被引：16
作者：
Zhang, FZ [1 ]
机构：
[1] Nova SE Univ, Dept Mat Sci & Technol, Ft Lauderdale, FL 33314 USA
来源：
LINEAR & MULTILINEAR ALGEBRA | 2001年 / 48卷 / 03期
关键词：
positive definite matrix; Kantorovich inequality; Wielandt inequality;
D O I：
10.1080/03081080108818673
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This note shows the equivalence of two well-known inequalities: the Wielandt inequality and the Kantorovich inequality.
引用
收藏
页码：275 / 279
页数：5
相关论文
共 7 条
[1]  
[Anonymous], 1990, AEQUATIONES MATH, DOI DOI 10.1007/BF02112284
[2]  
Horn R. A., 1986, Matrix analysis
[3]  
Householder Alston S., 1975, The Theory of Matrices in Numerical Analysis
[4]   Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications [J].
Pecaric, JE ;
Puntanen, S ;
Styan, GPH .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 237 :455-476
[5]  
Wang BY, 1997, LINEAR MULTILINEAR A, V43, P315
[6]   A matrix version of the Wielandt inequality and its applications to statistics [J].
Wang, SG ;
Ip, WC .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 296 (1-3) :171-181
[7]  
Zhang F., 1999, MATRIX THEORY BASIC
1