ABSTRACT
A real representation of complex polynomial matrices in the framework of conjugate product is first proposed, and some interesting properties of the proposed real representation are given. With the real representations as tools, alternative proofs for some properties of conjugate product are given. In addition, the concept of real determinant is proposed for complex polynomial matrices in the framework of conjugate product, and based on the real determinant the invertibility in the framework of conjugate product is investigated. These results imply that the proposed real representation has potential applications in the further investigation of conjugate product.
2000 MSC SUBJECT CLASSIFICATION:
Disclosure statement
No potential conflict of interest was reported by the authors.