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