DocumentCode
312682
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
Volume
4
fYear
1997
fDate
4-6 Jun 1997
Firstpage
2278
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;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1997. Proceedings of the 1997
Conference_Location
Albuquerque, NM
ISSN
0743-1619
Print_ISBN
0-7803-3832-4
Type
conf
DOI
10.1109/ACC.1997.609013
Filename
609013
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