Riemannian Means on Special Euclidean Group and Unipotent Matrices Group

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Riemannian Means on Special Euclidean Group and Unipotent Matrices Group

Among the noncompact matrix Lie groups, the special Euclidean group and the unipotent matrix group play important roles in both theoretic and applied studies. The Riemannian means of a finite set of the given points on the two matrix groups are investigated, respectively. Based on the left invariant metric on the matrix Lie groups, the geodesic between any two points is gotten. And the sum of t...

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ژورنال

عنوان ژورنال: The Scientific World Journal

سال: 2013

ISSN: 1537-744X

DOI: 10.1155/2013/292787