On the spectra of Schwarz matrices with certain sign patterns

Details On the spectra of Schwarz matrices with certain sign patterns On the spectra of Schwarz matrices with certain sign patterns

2012-01-03

arxiv.org/abs/1201.0738v1

Mathematics

Spectral Theory

15 pages

Scientific paper

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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