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.
Acknowledgments
The author would like to thank Professors Jiangong You and Hao Wu for the many beneficial discussions and help. This study was funded by the National Natural Science Foundation of China (11871146, 11671077).
Citation
Junxiang Xu. "Paths of Real Roots for Odd-Degree Polynomials with Parameters." Abstr. Appl. Anal. 2020 1 - 21, 2020. https://doi.org/10.1155/2020/4729872
Information
