Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8721
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 661–671
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Procrustes problem Stiefel manifold Necessary condition Sufficient condition.