Davis-Wielandt shell and q-numerical range

被引：25

作者：

Chien, MT ^{[1
]}

Nakazato, H

机构：

[1] Soochow Univ, Dept Math, Taipei 11102, Taiwan

[2] Hirosaki Univ, Fac Sci & Technol, Dept Math Syst Sci, Hirosaki, Aomori 0368561, Japan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 340卷

关键词：

Davis-Wielandt shell; q-numerical range; unilateral shift;

D O I：

10.1016/S0024-3795(01)00395-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the boundary of the q-numerical range of a square matrix using its Davis-Wielandt shell. The result is used to generate an algorithm for plotting the q-numerical range of the square matrix. Computations of the q-numerical ranges of a special class of matrices are explicitly given. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：15 / 31

页数：17

共 12 条

[1] Boundary generating curves of the c-numerical range [J].

Chien, MT ;

Nakazato, H .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 294 (1-3) :67-84

[2] The numerical range of 3x3 matrices [J].

Keeler, DS ;

Rodman, L ;

Spitkovsky, IM .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 252 :115-139

[3]

Li C-K., 1998, LINEAR MULTILINEAR A, V43, P377, DOI DOI 10.1080/03081089808818538

[4]

Li C-K., 1994, LINEAR MULTILINEAR A, V37, P25

[5]

Li CK., 1998, LINEAR MULTILINEAR A, V43, P385, DOI DOI 10.1080/03081089808818539

[6]

Li CK., 1996, LINEAR MULTILINEAR A, V40, P235, DOI DOI 10.1080/03081089608818441

[7]

Marcus M., 1979, LINEAR MULTILINEAR A, V7, P111, DOI DOI 10.1080/03081087908817266

[8]

NAKAZATO H, 1995, LINEAR MULTILINEAR A, V40, P37

[9]

Nakazato H., 1995, LINEAR MULTILINEAR A, V39, P231

[10]

Nakazato H., 1994, SCI REP HIROSAKI U, V41, P197

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