Title :
On computing the inverse of a rational matrix
Author :
Keel, L.H. ; Bhattacharyya, S.P.
Author_Institution :
Center of Excellence in Inf. Syst., Tennessee State Univ., Nashville, TN, USA
Abstract :
In this paper, we develop a method for computing the inverse of a rational or polynomial matrix via Wolovich´s structure theorem. By using Leverrier´s algorithm with the above result, the inverse can be obtained using only arithmetic operations.
Keywords :
inverse problems; matrix algebra; polynomials; Leverrier algorithm; Wolovich structure theorem; arithmetic operation; polynomial matrix; rational matrix inverse; Arithmetic; Control design; Control system analysis; Control systems; Design engineering; Information systems; Linear systems; Polynomials; Signal analysis; US Department of Defense;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400411
