@Article{JCM-25-661,
author = {Zhenyue Zhang, Yuyang Qiu and Keqin Du},
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/},
url = {http://global-sci.org/intro/article_detail/jcm/8721.html}
}