On a differential equation approach to the weighted orthogonal Procrustes problem
نویسندگان
چکیده
The weighted orthogonal Procrustes problem an important class of data matching problems in multivariate data analysis is reconsidered in this paper It is shown that a steepest descent ow on the manifold of orthogonal matrices can naturally be formulated This formulation has two important implications that the constrained regression problem can be solved as an initial value problem by any available numerical integrator and that the rst order and the second order optimality conditions can also be derived The proposed approach is illustrated by numerical examples
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عنوان ژورنال:
- Statistics and Computing
دوره 8 شماره
صفحات -
تاریخ انتشار 1998