International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 1996
Volume 6 - 1996

On convex combinations of Hurwitz polynomials

Jiří Gregor, Jaroslav Tišer

Abstract
The zero set of a convex hull of two polynomials is investigated with special attention to the class of Hurwitz polynomials. New necessary and sufficient conditions are given for a convex hull of these polynomials to belong to the same class. An algorithm of construction of Hurwitz interval polynomials containing a given Hurwitz polynomial is formulated.

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