Specific manifold functions
This small section extends the functions available from ManifoldsBase.jl and Manifolds.jl, especially a few random generators, that are simpler than the available functions.
Manopt.reflect — Methodreflect(M, p, x)
reflect!(M, q, p, x)Reflect the point x from the manifold M at point p, i.e.
\[ \operatorname{refl}_p(x) = \exp_p(-\log_p x).\]
where exp and log denote the exponential and logarithmic map on M. This can also be done in place of q.
Manopt.reflect — Methodreflect(M, f, x)
reflect!(M, q, f, x)reflect the point x from the manifold M at the point f(x) of the function $f: \mathcal M → \mathcal M$, i.e.,
\[ \operatorname{refl}_f(x) = \operatorname{refl}_{f(x)}(x),\]
Compute the result in q.
see also reflect(M,p,x).