Majorization for (0,1)-matrices

Geir Dahl; Alexander Guterman; Pavel Shteyner

doi:10.1016/j.laa.2019.09.038

Majorization for (0,1)-matrices

Geir Dahl, Alexander Guterman, Pavel Shteyner

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with the important notion of majorization. We study majorization for matrices, and focus on (0,1)-matrices. We prove several results concerning such matrix majorization orders on the set of (0,1)-matrices, including characterizations for certain orders, and separate sufficient and necessary conditions for the so-called matrix majorization order. Some of these results are of combinatorial nature.

Original language	English
Pages (from-to)	147-163
Number of pages	17
Journal	Linear Algebra and Its Applications
Volume	585
DOIs	https://doi.org/10.1016/j.laa.2019.09.038
State	Published - 15 Jan 2020
Externally published	Yes

Keywords

(0,1)-matrices
Matrix majorization
Partial order

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2019.09.038

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title = "Majorization for (0,1)-matrices",

abstract = "This paper deals with the important notion of majorization. We study majorization for matrices, and focus on (0,1)-matrices. We prove several results concerning such matrix majorization orders on the set of (0,1)-matrices, including characterizations for certain orders, and separate sufficient and necessary conditions for the so-called matrix majorization order. Some of these results are of combinatorial nature.",

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AU - Guterman, Alexander

AU - Shteyner, Pavel

PY - 2020/1/15

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N2 - This paper deals with the important notion of majorization. We study majorization for matrices, and focus on (0,1)-matrices. We prove several results concerning such matrix majorization orders on the set of (0,1)-matrices, including characterizations for certain orders, and separate sufficient and necessary conditions for the so-called matrix majorization order. Some of these results are of combinatorial nature.

AB - This paper deals with the important notion of majorization. We study majorization for matrices, and focus on (0,1)-matrices. We prove several results concerning such matrix majorization orders on the set of (0,1)-matrices, including characterizations for certain orders, and separate sufficient and necessary conditions for the so-called matrix majorization order. Some of these results are of combinatorial nature.

KW - (0,1)-matrices

KW - Matrix majorization

KW - Partial order

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DO - 10.1016/j.laa.2019.09.038

M3 - مقالة

SN - 0024-3795

VL - 585

SP - 147

EP - 163

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Majorization for (0,1)-matrices

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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