The numerical solution of differential equations for directioncosine matrices and quaternions is fundamental to many inertialnavigation systems. Algorithms based on Padé approximants areshown to preserve the normality of quaternions and orthogonality ofdirection cosine matrices. An error analysis shows improvedperformance over conventional algorithms.
A Norm and Orthogonality Preserving Algorithm
IEEE Transactions on Aerospace and Electronic Systems ; AES-23 , 6 ; 731-737
1987-11-01
1090245 byte
Article (Journal)
Electronic Resource
English
Improved orthogonality check for measured modes
AIAA | 1980
|3D Interpretation of Conics and Orthogonality
British Library Online Contents | 1993
|Minimum Norm Differential Correction Algorithm
AIAA | 1993
|