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math.CV2016★ 1 cited
Hurwitz-type matrices of doubly infinite series
Alexander Dyachenko
This paper show that two doubly infinite series generate a totally nonnegative Hurwitz-type matrix if and only if their ratio represents an S-functions of a certain kind. The doubl…
math.CV2016★ 4 cited
Hurwitz matrices of doubly infinite series
Alexander Dyachenko
This paper aims at extending the criterion that the quasi-stability of a polynomial is equivalent to the total nonnegativity of its Hurwitz matrix. We give a complete description o…