A bound for the zeros of polynomials

A new kind of circular bound on the zeros of polynomials is derived by determining Cauchy's bound on zeros of its transformed pair first. The transformation is based on a nonlinear transformation of the variable, which conceptually should give a better upper bound. The advantage of such a trans...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 1992-06, Vol.39 (6), p.476-478
Main Authors: Zilovic, M.S., Roytman, L.M., Combettes, P.L., Swamy, M.N.S.
Format: Article
Language:English
Subjects:
Application software
Circuits
Cities and towns
History
Polynomials
Upper bound
Zinc
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Summary:A new kind of circular bound on the zeros of polynomials is derived by determining Cauchy's bound on zeros of its transformed pair first. The transformation is based on a nonlinear transformation of the variable, which conceptually should give a better upper bound. The advantage of such a transformation is illustrated through several examples that show the improvement over the existing bounds. Convergence of the bound after iterative transformations of the original polynomial is also examined.< >
ISSN:1057-7122
1558-1268
DOI:10.1109/81.153643