On coprimeness of two polynomials in the framework of conjugate product

Ai Guo Wu; Yuan Rong Xu

doi:10.1049/iet-cta.2016.1311

On coprimeness of two polynomials in the framework of conjugate product

Ai Guo Wu^*
, Yuan Rong Xu

^*Corresponding author for this work

School of Intelligence Science and Engineering

Harbin Institute of Technology Shenzhen

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The right and left con-Sylvester matrices for two polynomials are defined, and then the criteria for right and left coprimeness of two polynomials in the framework of conjugate product are given in terms of the determinant of the right and left con-Sylvester matrices, respectively. The results in this study can be viewed as a generalisation of the well-known Sylvester resultant criterion for coprimeness of two polynomials in the framework of ordinary product.

Original language	English
Pages (from-to)	1522-1529
Number of pages	8
Journal	IET Control Theory and Applications
Volume	11
Issue number	10
DOIs	https://doi.org/10.1049/iet-cta.2016.1311
State	Published - 23 Jun 2017

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10.1049/iet-cta.2016.1311

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title = "On coprimeness of two polynomials in the framework of conjugate product",

abstract = "The right and left con-Sylvester matrices for two polynomials are defined, and then the criteria for right and left coprimeness of two polynomials in the framework of conjugate product are given in terms of the determinant of the right and left con-Sylvester matrices, respectively. The results in this study can be viewed as a generalisation of the well-known Sylvester resultant criterion for coprimeness of two polynomials in the framework of ordinary product.",

author = "Wu, \{Ai Guo\} and Xu, \{Yuan Rong\}",

note = "Publisher Copyright: {\textcopyright} The Institution of Engineering and Technology 2017.",

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doi = "10.1049/iet-cta.2016.1311",

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AU - Wu, Ai Guo

AU - Xu, Yuan Rong

PY - 2017/6/23

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N2 - The right and left con-Sylvester matrices for two polynomials are defined, and then the criteria for right and left coprimeness of two polynomials in the framework of conjugate product are given in terms of the determinant of the right and left con-Sylvester matrices, respectively. The results in this study can be viewed as a generalisation of the well-known Sylvester resultant criterion for coprimeness of two polynomials in the framework of ordinary product.

AB - The right and left con-Sylvester matrices for two polynomials are defined, and then the criteria for right and left coprimeness of two polynomials in the framework of conjugate product are given in terms of the determinant of the right and left con-Sylvester matrices, respectively. The results in this study can be viewed as a generalisation of the well-known Sylvester resultant criterion for coprimeness of two polynomials in the framework of ordinary product.

UR - https://www.scopus.com/pages/publications/85020426778

U2 - 10.1049/iet-cta.2016.1311

DO - 10.1049/iet-cta.2016.1311

M3 - 文章

AN - SCOPUS:85020426778

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VL - 11

SP - 1522

EP - 1529

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

IS - 10

ER -

On coprimeness of two polynomials in the framework of conjugate product

Abstract

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