A Procrustes problem on the Stiefel manifold

Abstract

An orthogonal Procrustes problem on the Stiefel manifold is studied, where a matrix Q with orthonormal columns is to be found that minimizes ‖AQ−B‖F for an l×m matrix A and an l×n matrix B with l ≥ m and m > n. Based on the normal and secular equations and the properties of the Stiefel manifold, necessary conditions for a global minimum, as well as… (More)
DOI: 10.1007/s002110050432

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