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