The p-norm of circulant matrices via Fourier analysis

A recent work derived expressions for the induced p-norm of a special class of circulant matrices A(n, a, b) ∈ ℝn×n, with the diagonal entries equal to a ∈ ℝ and the off-diagonal entries equal to b ≥ 0. We provide shorter proofs for all the results therein using Fourier analysis. The key observation...

Full description

Bibliographic Details
Main Author: Sahasranand K. R.
Format: Article
Language:English
Published: De Gruyter 2022-01-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2021-0123