DocumentCode
2429544
Title
On the generalized eigenvalue problem
Author
Aripirala, Ravi ; Syrmos, Vassilis L.
Author_Institution
Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA
Volume
3
fYear
1994
fDate
29 June-1 July 1994
Firstpage
2828
Abstract
In this paper we extend the notion of a normal and symmetric matrix to a pair of real matrices. We show that the familiar properties of a symmetric matrix extend to the symmetric pair. The extension of the Courant-Fischer theorem for the characterization of the eigenvalues of the symmetric matrix is generalized. We also indicate some of the problems that have to be resolved with respect to the present definition.
Keywords
eigenvalues and eigenfunctions; invariance; matrix algebra; Courant-Fischer theorem; eigenspace; generalized eigenvalue problem; normal matrix; symmetric matrix; Contracts; Eigenvalues and eigenfunctions; Matrix decomposition; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1994
Print_ISBN
0-7803-1783-1
Type
conf
DOI
10.1109/ACC.1994.735084
Filename
735084
Link To Document