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arXiv · 1201.0738

On the spectra of Schwarz matrices with certain sign patterns

Mikhail Tyaglov
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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.

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Mikhail Tyaglov. 2012-01-03. On the spectra of Schwarz matrices with certain sign patterns. https://doi.org/10.13001/1081-3810.1589

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