On the spectral norm of a doubly stochastic matrix and level-k circulant matrix

被引：0

作者：

Jiang, Zhao-Lin ^{[2
]}

Tam, Tin-Yau ^{[1
]}

机构：

[1] Univ Nevada, Dept Math & Stat, Reno, NV 89523 USA

[2] Linyi Univ, Sch Math & Stat, Linyi 276005, Peoples R China

来源：

SPECIAL MATRICES | 2024年 / 12卷 / 01期

关键词：

spectral norm; doubly stochastic matrices; circulant matrices; FIBONACCI;

D O I：

10.1515/spma-2023-0106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A simple proof using Birkhoff theorem is given for the result that the spectral norm of a doubly stochastic matrix is 1. We also show that the result generalizes the results of Ipek, Bozkurt, and Jiang and Zhou on circulant matrices and r r -circulant matrices. Spectral norm of level- k k circulant matrix and applications are given.

引用

页数：4

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