Orthogonal Procrustes problem
id:
orthogonal-procrustes-problem-182-558068
title:
Orthogonal Procrustes problem
text:
The orthogonal Procrustes problem is a matrix approximation problem in linear algebra. In its classical form, one is given two matrices A and B and asked to find an orthogonal matrix Ω which most closely maps A to B. Specifically, the orthogonal Procrustes problem is an optimization problem given by minimize Ω ‖ Ω A − B ‖ F subject to Ω T Ω = I, where ‖ ⋅ ‖ F denotes the Frobenius norm. This is a special case of Wahba's problem. Another difference is that Wahba's problem tries to find a proper r
brand slug:
wiki
category slug:
encyclopedia
description:
Matrix approximation problem in linear algebra
original url:
https://en.wikipedia.org/wiki/Orthogonal_Procrustes_problem
date created:
2007-10-03T05:53:16Z
date modified:
2024-09-06T02:21:43Z
main entity:
{"identifier":"Q3406231","url":"https://www.wikidata.org/entity/Q3406231"}
image:
fields total:
13
integrity:
15