This function computes the Riemannian exponential map using the Bures-Wasserstein metric for symmetric positive-definite matrices. The map operates by solving a Lyapunov equation and then constructing the exponential.
Usage
bures_wasserstein_exp(sigma, v)
Arguments
- sigma
A symmetric positive-definite matrix of class dppMatrix
, representing the reference point.
- v
A symmetric matrix of class dspMatrix
, representing the tangent vector to be mapped.
Value
A symmetric positive-definite matrix of class dppMatrix
, representing the point on the manifold.