Showing math.RAShow all
2 papers · 1 filter
math.RA2025
Closed-form Solution of Wahba's Problem for Pairwise Similar Quaternions
Hristina Radak, Christian Scheunert, Frank H. P. Fitzek
Wahba's problem is fundamental to spacecraft attitude estimation, seeking the optimal rotation that minimizes the weighted misalignment between sets of vector observations. Traditi…
math.RA2025
On solutions of singular Sylvester equations in quaternions
Hristina Radak, Christian Scheunert, Frank H. P. Fitzek
The quaternionic equations ax-xb=0 and ax-xb=c are investigated, which are called homogeneous and inhomogeneous Sylvester equations, respectively. Conditions for the existence of s…