DocumentCode :
806403
Title :
A numerical solution of the matrix equation P = φ P φt+ S
Author :
Berger, Claire
Author_Institution :
Center of Electrical Resource Laboratories, Leatherhead, Surrey, England
Volume :
16
Issue :
4
fYear :
1971
fDate :
8/1/1971 12:00:00 AM
Firstpage :
381
Lastpage :
382
Abstract :
A simple solution for the above matrix equation is given for the case when φ is in companion form. If φ is not in companion form, then only 5 2/3 n^{3} multiplications are necessary for the required transformations and equation solution. Thus this correspondence offers an efficient computational alternative to methods already published.
Keywords :
Matrix equations; Bridges; Equations; Robustness; Sparse matrices; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1971.1099756
Filename :
1099756
Link To Document :
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