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Dual-connection midpoint matrix means and their Gauss composition
Nakamura [J. Comput. Appl. Math. 131 (2001)] proved that the arithmetic--harmonic matrix iteration converges quadratically to the geometric matrix mean, the Riemannian midpoint of the affine-invariant metric on positive-definite matrices. We ask, more generally, when a Riemannian midpoint is a Gauss
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