In this paper we combine concepts from Riemannian optimization [P.-A. Absil, R. Mahony, and R. Sepulchre, Optimization Algorithms on Matrix Manifolds, Princeton University Press, 2008] and the theory of Sobolev gradients [J. W. Neuberger, Sobolev Gradients and Differential Equation, 2nd ed., Springe...
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