DocumentCode :
825197
Title :
The numerical solution of A\´Q+QA = -C
Author :
Hoskins, W.D. ; Meek, D.S. ; Walton, D.J.
Author_Institution :
University of Manitoba, Winnipeg, Canada
Volume :
22
Issue :
5
fYear :
1977
fDate :
10/1/1977 12:00:00 AM
Firstpage :
882
Lastpage :
883
Abstract :
A rapidly convergent algorithm is given which will solve A\´Q + QA = -C for Q when A is a stable matrix. The algorithm proposed requires only 4n^{2} words of memory (for large n ) and converges in approximately 17n^{3} \\mu s where μ is the multiplication time of the computer and n is the order of the matrix A .
Keywords :
Lyapunov matrix equations; Acceleration; Application software; Computer science; Convergence; Differential equations; Eigenvalues and eigenfunctions; Image converters; Notice of Violation; Partial differential equations; Poisson equations;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1977.1101627
Filename :
1101627
Link To Document :
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