DocumentCode :
813655
Title :
Eigenvalues of partitioned matrices "generated" by a matrix with known eigenvalues
Author :
Gyr, M.
Author_Institution :
European Organization for Nuclear Research, Geneva, Switzerland
Volume :
19
Issue :
1
fYear :
1974
fDate :
2/1/1974 12:00:00 AM
Firstpage :
88
Lastpage :
89
Abstract :
A method is shown which allows to compute the eigenvalues of an 
-dimensional square matrix 
from the eigenvalues of an 
-dimensional matrix 
, if the m2submatrices of are describable by convergent power series of . As an illustration, matrices arising in a multivariable feedback control system are considered.
-dimensional square matrix from the eigenvalues of an -dimensional matrix , if the m2submatrices of are describable by convergent power series of . As an illustration, matrices arising in a multivariable feedback control system are considered.Keywords :
Bismuth; Eigenvalues and eigenfunctions; Feedback control; MIMO; Optical character recognition software; Polynomials; Protons; Stability analysis; Synchrotrons;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1974.1100460
Filename :
1100460
Link To Document :
