Tests for polynomial zeros on a polydisc distinguished boundary

Author

Bose, N.K. ; Basu, Sankar

Volume

Issue

fYear

1978

fDate

9/1/1978 12:00:00 AM

Firstpage

684

Lastpage

693

Abstract

That several applications require the testing for zeros on the distinguished boundary of an unit polydisc of a multivariable polynomial has been noted. Here, procedures to. test whether or not a polynomial $B(z_1 , z_2,\\cdots ,z_n)$ has zeros on $|z_1| = |z_2| = \\cdots = |z_n|= 1$ are developed. Two indirect tests are fornulated and the details of a direct test are given for the $n = 2$ case with possible extensions for the $n$ > 2 case noted. Singular cases are given adequate attention.

Keywords

Multivariable polynomials; Transfer function techniques; Australia; Biomedical engineering; Circuit theory; Control systems; Digital filters; Educational institutions; Polynomials; Societies; Testing; Time of arrival estimation;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/TCS.1978.1084546

Filename

1084546

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1180950