Paths of Real Roots for Odd-Degree Polynomials with Parameters

Junxiang Xu

Abstract and Applied Analysis, 2020, vol. 2020, 1-21

Abstract:

In this paper, we construct a connected path of real roots of odd-degree real polynomials depending on parameters continuously, which joins with all parameters. Moreover, most of the points on the path are odd-multiple real roots except for at most countable even-multiple real roots. Furthermore, some geometrical features of the path can be seen easily from the construction.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:4729872

DOI: 10.1155/2020/4729872

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