Title :
The Lin-Bose Problem
Author :
Jinwang Liu ; Dongmei Li ; Licui Zheng
Author_Institution :
Dept. of Math. & Comput. Sci., Hunan Univ. of Sci. & Technol., Xiangtan, China
Abstract :
This brief studies prime factorization problems of a multivariate polynomial matrix. We mainly investigate the Lin-Bose problem proposed by Lin and Bose in the multidimensional system theory context. A simple proof to the Lin-Bose problem is presented in a much easier way to understand. As a by-product, we obtain some properties on modules generated by all the rows of a matrix.
Keywords :
matrix decomposition; polynomial matrices; Lin-Bose problem; multidimensional system theory; multivariate polynomial matrix; prime factorization problems; Bismuth; Educational institutions; Linear algebra; Multidimensional systems; Polynomials; Factor prime matrix; matrix factorization; multidimensional systems; n-D polynomial matrix; polynomial ring;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2013.2291060
