Author： Garloff J. Wagner D.G.
Publisher： Academic Press
ISSN： 0022-247X
Source： Journal of Mathematical Analysis and Applications, Vol.202, Iss.3, 1996-09, pp. : 797-809
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
A real polynomial is (asymptotically) stable when all of its zeros lie in the open left half of the complex plane. We show that the Hadamard (coefficient-wise) product of two stable polynomials is again stable, improving upon some known results. Via the associated Hurwitz matrices we find another example of a class of totally nonnegative matrices which is closed under Hadamard multiplication.
Related content
Maximal Points of Stable and Related Polynomials
By Borwein F.P.
Journal of Approximation Theory, Vol. 93, Iss. 3, 1998-06 ,pp. :
Access to resources
Recommend
Moduli of products of stable varieties
Compositio Mathematica, Vol. 149, Iss. 12, 2013-12 ,pp. :
On Stable Equivalence of Tensor Products of Algebras
By Mroczyńska Karolina Pogorzały Zygmunt
Communications in Algebra, Vol. 43, Iss. 3, 2015-03 ,pp. :
Stable maps and stable quotients
Compositio Mathematica, Vol. 150, Iss. 9, 2014-09 ,pp. :