ON THE NUMERICAL RANGE OF EP MATRICES

被引：1
作者：
Pappas, Dimitrios [1 ,2 ]
机构：
[1] Athens Univ Econ & Business, Dept Stat, 76 Patission Str, Athens 10434, Greece
[2] Athens Univ Econ & Business, Stochast Modeling & Applicat Lab, 76 Patission Str, Athens 10434, Greece
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 04期
关键词：
Numerical Range; Angular numerical range; EP matrices; Moore-Penrose inverse;
D O I：
10.22190/FUMI2004079P
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we will study the numerical range W(T) of EP matrices or operators having a canonical form T = U(A circle plus 0)U-* in the case when 0 is not an element of W(A). As a result, we will define a kind of distance d(W(A, T)) between the sets W(A) and W(T) and investigate their connenctions, giving also upper and lower bounds for the distance d(W(A(-1), T-dagger)). Finally we will present the form of their angular numerical range F(T) and its connection with F(T-dagger).
引用
收藏
页码：1079 / 1089
页数：11
相关论文
共 12 条
[1]  
[Anonymous], 1997, NUMERICAL RANGE
[2]  
Ben-Israel A., 2002, GEN INVERSES THEORY
[3]  
Campbell S.L., 1991, Generalized Inverses of Linear Transformations
[4]   Factorizations of EP operators [J].
Drivaliaris, Dimosthenis ;
Karanasios, Sotirios ;
Pappas, Dimitrios .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (07) :1555-1567
[5]  
Groetsch C. W., 1977, Monographs and Textbooks in Pure and Applied Mathematics
[6]  
Hochstenbach M. E., 2013, CASA REPORT, V1308
[7]  
Horn R.A., 2013, Matrix Analysis
[8]  
Knockaert L., 2006, WSEAS T MATH, V5, P1350
[9]  
Langer H., 2001, OPERATOR THEORY ADV, V124, P383
[10]  
Psarrakos P., 2002, MATH NOTES, V155
12