1 research outputs found
Factorizations for a Class of Multivariate Polynomial Matrices
Following the works by Lin et al. (Circuits Syst. Signal Process. 20(6):
601-618, 2001) and Liu et al. (Circuits Syst. Signal Process. 30(3): 553-566,
2011), we investigate how to factorize a class of multivariate polynomial
matrices. The main theorem in this paper shows that an polynomial
matrix admits a factorization with respect to a polynomial if the polynomial
and all the reduced minors of the matrix generate the unit
ideal. This result is a further generalization of previous works, and based on
this, we give an algorithm which can be used to factorize more polonomial
matrices. In addition, an illustrate example is given to show that our main
theorem is non-trivial and valuable.Comment: 12 pages, Submitted to Multidimensional Systems and Signal Processin