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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
Minimum-Norm and Least-Squares Solutions of the Singular Sylvester Equation in Quaternions
Hristina Radak, Christian Scheunert, Frank H. P. Fitzek
The quaternionic Sylvester equation is singular exactly when and are similar. In that case the homogeneous equation has a two-dimensional solution space, and…