DocumentCode :
1125190
Title :
Strapdown Matrix Orthogonalization: The Dual Iterative Algorithm
Author :
Bar-Itzhack, I.Y. ; Meyer, J. ; Fuhrmann, P.A.
Author_Institution :
Technion Israel Institute of Technology, Haifa, Israel
Issue :
1
fYear :
1976
Firstpage :
32
Lastpage :
38
Abstract :
There exist several algorithms for the optimal orthogonalization of the Direction Cosine Matrix used in navigation, control and simulation One of these recursive algorithms is shown to be derived from a dual solution to the optimal orthogonalization problem. The duality of the algorithm is demonstrated and its convergence properties are investigated Quadratic convergence is proven and the condition for convergence is determined and illustrated with numerical examples.
Keywords :
Aerospace control; Aerospace simulation; Computational modeling; Convergence of numerical methods; Iterative algorithms; Matrix decomposition; Navigation; Optimal control; Position measurement; Vehicles;
fLanguage :
English
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9251
Type :
jour
DOI :
10.1109/TAES.1976.308212
Filename :
4101588
Link To Document :
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