mm.math.euclidean_to_symplectic

math.euclidean_to_symplectic(dS_euclidean)

Convert the Euclidean gradient to a Riemannian gradient on the tangent bundle of the symplectic manifold.

Implemented from:

Wang J, Sun H, Fiori S. A Riemannian‐steepest‐descent approach for optimization on the real symplectic group. Mathematical Methods in the Applied Sciences. 2018 Jul 30;41(11):4273-86.

Parameters:

• S (Matrix) – symplectic matrix

• dS_euclidean (Matrix) – Euclidean gradient tensor

Returns:

symplectic gradient tensor

Return type:

Matrix

code/api/mrmustard.math.euclidean_to_symplectic

 

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