Orthogonal Procrustes problem
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The orthogonal Procrustes problem is a matrix approximation problem in linear algebra. In its classical form, one is given two matrices
Orthogonal Procrustes problem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Matrix approximation problem in linear algebra The orthogonal Procrustes problem [ 1 ] is a matrix approximation problem in linear algebra . In its classical form, one is given two matrices A {\displaystyle A} and B {\displaystyle B} and asked to find an orthogonal matrix Ω {\displaystyle \Omega } which most closely maps A {\displaystyle A} to B {\displaystyle B} . [ 2 ] [ 3 ] Specifically, the orthogonal Procrustes problem is an optimization problem given by minimize Ω ‖ Ω A − B ‖ F subject to Ω T
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