On the spectra of Schwarz matrices with certain sign patterns
arXiv:1201.0738 · doi:10.13001/1081-3810.1589
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.
15 pages