bures_wasserstein_exp: Compute the Bures-Wasserstein Exponential

In riemtan: Riemannian Metrics for Symmetric Positive Definite Matrices

Compute the Bures-Wasserstein Exponential

Description

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, validate = FALSE)

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.
validate	A logical value indicating whether to validate input arguments. Default is FALSE.

Value

A symmetric positive-definite matrix of class dppMatrix, representing the point on the manifold.

riemtan documentation built on Nov. 11, 2025, 1:06 a.m.