Numerical range of some doubly stochastic matrices

被引：2

作者：

Camenga, Kristin A. ^{[1
]}

Rault, Patrick X. ^{[2
]}

Rossi, Daniel J. ^{[2
]}

Sendova, Tsvetanka ^{[3
]}

Spitkovsky, Ilya M. ^{[4
]}

机构：

[1] Houghton Coll, Dept Math & Comp Sci, Houghton, NY 14744 USA

[2] SUNY Coll Geneseo, Dept Math, Geneseo, NY 14454 USA

[3] Bennett Coll, Dept Math & Comp Sci, Greensboro, NC 27401 USA

[4] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 221卷

关键词：

Numerical range; Doubly stochastic matrices;

D O I：

10.1016/j.amc.2013.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A classification of all possible shapes is given for numerical ranges of 4 x 4 doubly stochastic matrices. The tests determining the shape are also provided, along with illustrating examples. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：40 / 47

页数：8

共 50 条

[41] A mapping from the unitary to doubly stochastic matrices and symbols on a finite set
Karabegov, Alexander V.
GEOMETRIC METHODS IN PHYSICS, 2008, 1079 : 39 - 50
[42] A recursive method for constructing doubly stochastic matrices and inverse eigenvalue problem
Adeli, Iman
Taheri, Maryam
Moghadam, Mahmoud Mohseni
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 537 : 318 - 331
[43] Isolated sets of diagonals, diagonal hypergraphs, and simplices of doubly stochastic matrices
Brualdi, Richard A.
Shao, Jia-Yu
LINEAR & MULTILINEAR ALGEBRA, 2008, 56 (04): : 471 - 480
[44] ON THE NUMERICAL RANGE OF KAC-SYLVESTER MATRICES
Bebiano, N.
Lemos, R.
Soares, G.
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2023, 39 : 242 - 259
[45] On the numerical range of matrices over a finite field
Ballico, E.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 512 : 162 - 171
[46] Matrices with hyperbolical Krein space numerical range
Bebiano, N.
Lemos, R.
Soares, G.
ADVANCES IN OPERATOR THEORY, 2025, 10 (01)
[47] On the numerical ranges of some tridiagonal matrices
Chien, Ruey Ting
Spitkovsky, Ilya M.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 470 : 228 - 240
[48] Numerical range and numerical radius for some operators
Karaev, M. T.
Iskenderov, N. Sh.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (12) : 3149 - 3158
[49] On the symmetric doubly stochastic matrices that are determined by their spectra and their connection with spectral graph theory
Mourad, Bassam
Abbas, Hassan
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (05): : 869 - 881
[50] On a spectral property of doubly stochastic matrices and its application to their inverse eigenvalue problem
Mourad, Bassam
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) : 3400 - 3412

← 1 2 3 4 5 →