The solution of orthogonal Procrustes problems for a family of orthogonally invariant norms |
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Authors: | G. A. Watson |
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Affiliation: | (1) Department of Mathematics and Computer Science, University of Dundee, DD1 4HN Dundee, Scotland |
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Abstract: | The orthogonal Procrustes problem involves finding an orthogonal matrix which transforms one given matrix into another in the least-squares sense, and thus it requires the minimization of the Frobenius matrix norm. We consider, the solution of this problem for a family of orthogonally invariant norms which includes the Frobenius norm as a special case. |
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Keywords: | Orthogonal Procrustes problem orthogonally invariant norm |
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