A note on the spectral distribution of non-Hermitian block matrices with Toeplitz blocks

Fuente: arXiv
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Hauptverfasser: Adriani, Andrea, Tento, Giacomo
Format: Preprint
Veröffentlicht: 2026
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author Adriani, Andrea
Tento, Giacomo
author_facet Adriani, Andrea
Tento, Giacomo
contents In the present paper, we are concerned with the study of the spectral distribution of matrix-sequences showing a non-Hermitian block structure with Toeplitz blocks. We use the notion of geometric mean of matrices and the theory of Generalized Locally Toeplitz (GLT) sequences to perform our analysis and produce some numerical tests and visualizations to confirm our theoretical derivations.
format Preprint
id arxiv_https___arxiv_org_abs_2604_03823
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A note on the spectral distribution of non-Hermitian block matrices with Toeplitz blocks
Adriani, Andrea
Tento, Giacomo
Numerical Analysis
In the present paper, we are concerned with the study of the spectral distribution of matrix-sequences showing a non-Hermitian block structure with Toeplitz blocks. We use the notion of geometric mean of matrices and the theory of Generalized Locally Toeplitz (GLT) sequences to perform our analysis and produce some numerical tests and visualizations to confirm our theoretical derivations.
title A note on the spectral distribution of non-Hermitian block matrices with Toeplitz blocks
topic Numerical Analysis
url https://arxiv.org/abs/2604.03823