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

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 İpek, Bozkurt, and Jiang and Zhou on circulant matrices and rr-circulant matrices. Spectral norm of level-kk circulant matr...

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Bibliographic Details
Main Authors: Jiang Zhao-Lin, Tam Tin-Yau
Format: Article
Language:English
Published: De Gruyter 2024-02-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2023-0106