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] DOUBLY STOCHASTIC MATRICES WITH EQUAL SUBPERMANENTS
BAPAT, R
LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 51 (JUN) : 1 - 8
[42] DOUBLY STOCHASTIC MATRICES WITH MINIMAL PERMANENTS
MINC, H
PACIFIC JOURNAL OF MATHEMATICS, 1975, 58 (01) : 155 - 157
[43] ON EXTREME INFINITE DOUBLY STOCHASTIC MATRICES
GRZASLEWICZ, R
ILLINOIS JOURNAL OF MATHEMATICS, 1987, 31 (04) : 529 - 543
[44] Diagonal sums of doubly stochastic matrices
Brualdia, Richard A.
Dahl, Geir
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 4946 - 4972
[45] Optimal Approximation of Doubly Stochastic Matrices
Rontsis, Nikitas
Goulart, Paul J.
INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 108, 2020, 108 : 3589 - 3597
[46] Random doubly stochastic tridiagonal matrices
Diaconis, Persi
Wood, Philip Matchett
RANDOM STRUCTURES & ALGORITHMS, 2013, 42 (04) : 403 - 437
[47] Doubly stochastic matrices in quantum mechanics
Louck, JD
FOUNDATIONS OF PHYSICS, 1997, 27 (08) : 1085 - 1104
[48] GENERALIZED INVERSES OF DOUBLY STOCHASTIC MATRICES
RAO, PSSNVP
SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1973, 35 (MAR): : 103 - 105
[49] EVEN DOUBLY-STOCHASTIC MATRICES
MIRSKY, L
MATHEMATISCHE ANNALEN, 1961, 144 (05) : 418 - 421
[50] PRODUCTS OF SYMMETRIC DOUBLY STOCHASTIC MATRICES
GIBSON, PM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (07): : A631 - A631

← 1 2 3 4 5 →