DocumentCode :
805820
Title :
Numerical solution of the matrix equation AX + XAT+ B = 0
Author :
Smith, Paul
Author_Institution :
Bellcomm, Inc., Washington, DC, USA
Volume :
16
Issue :
3
fYear :
1971
fDate :
6/1/1971 12:00:00 AM
Firstpage :
278
Lastpage :
279
Abstract :
A recursive algorithm is shown to solve the above equation accurately for large ( n \\leq 146 ), lightly damped ( \\zeta \\geq 10^{-3} ) systems. About 2.5n^{2} storage locations are required, and about 2.5n^{3} multiplications are performed per recursion, ten recursions being typical.
Keywords :
Matrix equations; Automatic control; Control systems; Eigenvalues and eigenfunctions; Equations; Space vehicles; Springs; Storage automation; Symmetric matrices; Testing; White noise;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1971.1099699
Filename :
1099699
Link To Document :
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