Title :
Some Properties of Generalized Tensor Bezoutian with Respect to a General Polynomial Basis
Author :
Wu, Huazhang ; Ma, Chao
Author_Institution :
Dept. of Math., Hefei Univ. of Technol., Hefei, China
Abstract :
In this note, the authors carry over the tensor Bezoutian for polynomial matrices to the case of a general polynomial basis. Some of important properties, such as the Barnett-type factorization, the expressions in terms of controllability- and observability-type matrices, and some intertwining relations with companion matrices and resultant matrices, are characterized.
Keywords :
controllability; matrix decomposition; observability; polynomial matrices; tensors; Barnett type factorization; companion matrix; controllability matrix; general polynomial basis; generalized tensor Bezoutian; observability type matrix; polynomial matrices; resultant matrix; Barnett-type factorization; Generalized Tensor Bezoutian; Sylvester resultant matrix; controllability/observability-type matrix; intertwining relation;
Conference_Titel :
Web Information Systems and Mining (WISM), 2010 International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-8438-6
DOI :
10.1109/WISM.2010.164
