The Birkhoff theorem for unitary matrices of arbitrary dimensions

Stijn De Baerdemacker; Alexis De Vos; Lin Chen; Li Yu

doi:10.1016/j.laa.2016.10.028

The Birkhoff theorem for unitary matrices of arbitrary dimensions

Stijn De Baerdemacker^*
, Alexis De Vos
, Lin Chen
, Li Yu

^*此作品的通讯作者

数学科学学院

Ghent University
National Institute of Informatics

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime. We prove a generalization of the Birkhoff theorem for unitary matrices with equal line sums for arbitrary dimension.

源语言	英语
页（从-至）	151-164
页数	14
期刊	Linear Algebra and Its Applications
卷	514
DOI	https://doi.org/10.1016/j.laa.2016.10.028
出版状态	已出版 - 1 2月 2017

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10.1016/j.laa.2016.10.028

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title = "The Birkhoff theorem for unitary matrices of arbitrary dimensions",

abstract = "It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime. We prove a generalization of the Birkhoff theorem for unitary matrices with equal line sums for arbitrary dimension.",

keywords = "Birkhoff's theorem, Doubly stochastic matrix, Irreducible representation, Unitary matrix",

author = "\{De Baerdemacker\}, Stijn and \{De Vos\}, Alexis and Lin Chen and Li Yu",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2017",

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day = "1",

doi = "10.1016/j.laa.2016.10.028",

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T1 - The Birkhoff theorem for unitary matrices of arbitrary dimensions

AU - De Baerdemacker, Stijn

AU - De Vos, Alexis

AU - Chen, Lin

AU - Yu, Li

PY - 2017/2/1

Y1 - 2017/2/1

N2 - It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime. We prove a generalization of the Birkhoff theorem for unitary matrices with equal line sums for arbitrary dimension.

AB - It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime. We prove a generalization of the Birkhoff theorem for unitary matrices with equal line sums for arbitrary dimension.

KW - Birkhoff's theorem

KW - Doubly stochastic matrix

KW - Irreducible representation

KW - Unitary matrix

UR - https://www.scopus.com/pages/publications/84995662362

U2 - 10.1016/j.laa.2016.10.028

DO - 10.1016/j.laa.2016.10.028

M3 - 文章

AN - SCOPUS:84995662362

SN - 0024-3795

VL - 514

SP - 151

EP - 164

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

The Birkhoff theorem for unitary matrices of arbitrary dimensions

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