The present paper discusses the problem of geodesic least squares over the real symplectic group of matrices Sp(2n,ℝ). As the space Sp(2n,ℝ) is a non-compact Lie group, it is convenient to endow it with a pseudo-Riemannian geometry instead of a Riemannian one. Indeed, a pseudo-Riemannian metric allows the computation of geodesic arcs and geodesic distances in closed form. ©2010 IEEE.
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