Dual Algorithms for Orthogonal Procrustes Rotations *

  title={Dual Algorithms for Orthogonal Procrustes Rotations *},
  author={A. SHAPIROf and J. D. BOTHAf}
This paper considers a problem of rotating m matrices toward a best least-squares fit. The problem is known as the orthogonal Procrustes problem. For rn 2 the solution of this problem is known and can be given in a closed form using the singular value decomposition. It appears that the general case of rn > 2 cannot be solved explicitly and an iterative procedure is required. The authors discuss a dual approach to the Procrustes problem where the maximal value of the objective function is… CONTINUE READING