On the spectra of Schwarz matrices with certain sign patterns
Spectral Theory
2025-07-01 v1 Classical Analysis and ODEs
Rings and Algebras
Abstract
The direct and inverse spectral problems are solved for a wide subclass of the class of Schwarz matrices. A connection between the Schwarz matrices and the so-called generalized Hurwitz polynomials is found. The known results due to H. Wall and O. Holtz are briefly reviewed and obtained as particular cases.
Keywords
Cite
@article{arxiv.1201.0738,
title = {On the spectra of Schwarz matrices with certain sign patterns},
author = {Mikhail Tyaglov},
journal= {arXiv preprint arXiv:1201.0738},
year = {2025}
}
Comments
15 pages