@Article{JCM-25-661, 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 = {

We consider the unbalanced Procrustes problem with an orthonormal constraint on solutions: given matrices $A\in \mathcal{R}^{n\times n}$ and $B\in \mathcal{R}^{n\times k}$, $n>k$, 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8721.html} }