@Article{JCM-25-6,
author = {},
title = {Conditions for Optimal Solutions of Unbalanced Procrustes Problem on Stiefel Manifold},
journal = {Journal of Computational Mathematics},
year = {2007},
volume = {25},
number = {6},
pages = {661--671},
abstract = {<p style="text-align: justify;">We consider the unbalanced Procrustes problem with an orthonormal constraint on solutions: given matrices $A\in \mathcal{R}^{n\times n}$ and $B\in \mathcal{R}^{n\times k}$, $n&gt;k$, minimize the residual $\|AQ-B\|_F$ over the Stiefel manifold of orthonormal matrices. Theoretical analysis on necessary conditions and sufficient conditions for optimal solutions of the unbalanced Procrustes problem is given.</p>},
issn = {1991-7139},
doi = {https://doi.org/2007-JCM-8721},
url = {https://global-sci.com/article/85042/conditions-for-optimal-solutions-of-unbalanced-procrustes-problem-on-stiefel-manifold}
}