Exp Map for SPD Matrices (Log-Euclidean Metric)

Maps a tangent vector V (symmetric matrix) from the tangent space at SPD matrix S1 back to the SPD manifold using the Log-Euclidean metric. Result is `expm(logm(S1) + V)`.

Usage

expmap_spd_logeuclidean(S1, V_at_S1, regularize_epsilon = 1e-06)

Arguments

S1

SPD matrix (point on manifold where tangent space is anchored).

V_at_S1

Symmetric matrix (tangent vector at S1).

regularize_epsilon

Epsilon for regularization of S1. Default 1e-6.

Value

An SPD matrix on the manifold.