Publication detail

On complex trinomial roots distribution

TOMÁŠEK, P. JÁNSKÝ, J.

English title

On complex trinomial roots distribution

Type

journal article in Scopus

Language

en

Original abstract

The paper deals with a certain trinomial with two strictly complex coefficients. The root locus technique is utilized to obtain a distribution of roots with respect to a unit circle in the complex plane. A number of roots inside the unit disk is described in a relation with the two parameter values. Several appropriate graphs illustrate the trinomial roots distribution in particular cases.

English abstract

The paper deals with a certain trinomial with two strictly complex coefficients. The root locus technique is utilized to obtain a distribution of roots with respect to a unit circle in the complex plane. A number of roots inside the unit disk is described in a relation with the two parameter values. Several appropriate graphs illustrate the trinomial roots distribution in particular cases.

Keywords in English

polynomial; roots location; unit modulus

Released

19.06.2023

Publisher

Brno University of Technology

Location

Brno

ISSN

1805-3610

Volume

12

Number

1

Pages from–to

49–58

Pages count

10

BIBTEX


@article{BUT184461,
  author="Petr {Tomášek} and Jiří {Jánský} and Jiří {Jánský},
  title="On complex trinomial roots distribution",
  year="2023",
  volume="12",
  number="1",
  month="June",
  pages="49--58",
  publisher="Brno University of Technology",
  address="Brno",
  issn="1805-3610"
}