DocumentCode :
853740
Title :
Further remarks on the Cayley-Hamilton theorem and Leverrier\´s method for the matrix pencil 
Author :
Lewis, F.L.
Author_Institution :
Georgia Institute of Technology, Atlanta, GA, USA
Volume :
31
Issue :
9
fYear :
1986
fDate :
9/1/1986 12:00:00 AM
Firstpage :
869
Lastpage :
870
Abstract :
Some results for matrix pencils are extended to the singular case . A singular Leverrier\´s relation, Cayley-Hamilton theorem, and Newton\´s formula are given. A finite-series expansion for 
is given in terms of the generalized Tschirnhausen polynomials.
. A singular Leverrier\´s relation, Cayley-Hamilton theorem, and Newton\´s formula are given. A finite-series expansion for is given in terms of the generalized Tschirnhausen polynomials.Keywords :
Matrices; Differential equations; Eigenvalues and eigenfunctions; H infinity control; Integral equations; Linear matrix inequalities; Polynomials;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1986.1104420
Filename :
1104420
Link To Document :
