On the numerical range of some block matrices with scalar diagonal blocks

被引:5
作者
Geryba, Titas [1 ]
Spitkovsky, Ilya M. [1 ]
机构
[1] NYUAD, Div Sci & Math, POB 129188, Abu Dhabi, U Arab Emirates
关键词
Numerical range;
D O I
10.1080/03081087.2020.1749225
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several new verifiable conditions are established for matrices of the form to have the numerical range equal the convex hull of at most k ellipses. For k = 2, these conditions are also necessary, provided that the ellipses are co-centred.
引用
收藏
页码:772 / 785
页数:14
相关论文
共 15 条
[1]   On matrices with elliptical numerical ranges [J].
Brown, ES ;
Spitkovsky, IM .
LINEAR & MULTILINEAR ALGEBRA, 2004, 52 (3-4) :177-193
[2]   MATRICES WITH DEFECT INDEX ONE [J].
Chang, Cheng-Chun ;
Gau, Hwa-Long ;
Wang, Ya-Shu ;
Wu, Szu-Chieh ;
Yeh, Ya-Ting .
OPERATORS AND MATRICES, 2013, 7 (04) :865-885
[3]   ELLIPTIC NUMERICAL RANGES OF BORDERED MATRICES [J].
Chien, Mao-Ting ;
Hung, Kuo-Chih .
TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (03) :1007-1016
[4]   NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF A POSITIVE-DEFINITE SOLUTION OF THE MATRIX EQUATION X+A-ASTERISK-X-1A=Q [J].
ENGWERDA, JC ;
RAN, ACM ;
RIJKEBOER, AL .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 186 :255-275
[5]   GEOMETRY OF THE NUMERICAL RANGE OF MATRICES [J].
FIEDLER, M .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 37 (APR) :81-96
[6]  
Gustafson K.E., 1996, Numerical Range
[7]   The standard value of a bilinear form. [J].
Hausdorff, F .
MATHEMATISCHE ZEITSCHRIFT, 1919, 3 :314-316
[8]  
Horn R.A., 1994, MATRIX ANAL, DOI DOI 10.1017/CBO9780511840371
[9]  
Horn R. A., 2012, Matrix Analysis
[10]  
Kippenhahn R., 1951, MATH NACHR, V6, P193