论文信息 - On the Type of a Polynomial Relative to a Circle - An Open Problem

On the Type of a Polynomial Relative to a Circle - An Open Problem

This paper is a sequel to [2]. In it we prove a Theorem and Corollary which imply, in particular, the unproved Theorem 4 of that paper. In addition we analyze the reasons for the failure, in certain special cases, of an algebraic algorithm for determining the type of a polynomial relative to a circle. For background material the reader is referred in addition to [1], [3], [4] and the references contained in those papers.

John J. H. Miller | John J. H. Miller

[1] John J. H. Miller. On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis , 1971 .

[2] John J. H. Miller. On weak stability, stability, and the type of a polynomial , 1971 .