Title :
A new method for factoring matrix polynomials relative to the unit circle
Author :
Guo, Tong-Yi ; Lin, Bo-Win ; Hwang, Chyi
Author_Institution :
Dept. of Chem. Eng., Nat. Kaohsiung Inst. of Technol., Taiwan
Abstract :
Presents a method for factoring a self-inversive Hermitian matrix polynomial relative to the unit-radius circle. It formulates the factorization problem as those of evaluating a set of definite integrals along the unit circle and of solving a block-Toeplitz system of linear equations. Since the evaluation of definite integrals along the unit circle can be accomplished via parallel computations and the solution of a block-Toeplitz system can be obtained by a fast algorithm, the proposed method is very useful in real-time applications
Keywords :
Hermitian matrices; matrix inversion; polynomial matrices; block-Toeplitz system; factoring; linear equations; self-inversive Hermitian matrix polynomial; unit circle; Chemical engineering; Chemical technology; Concurrent computing; Integral equations; Kalman filters; Parameter estimation; Polynomials; Real time systems; Riccati equations; Stochastic processes;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.609013
