Literature

[AMS08]
P.-A. Absil, R. Mahony and R. Sepulchre. Optimization Algorithms on Matrix Manifolds (Princeton University Press, 2008), available online at press.princeton.edu/chapters/absil/.
[Bac14]
M. Bačák. Computing medians and means in Hadamard spaces. SIAM Journal on Optimization 24, 1542–1566 (2014).
[Bou23]
N. Boumal. An Introduction to Optimization on Smooth Manifolds. First Edition (Cambridge University Press, 2023). Homepage to the book: nicolasboumal.net/book/index.html.
[WDS14]
A. Weinmann, L. Demaret and M. Storath. Total variation regularization for manifold-valued data. SIAM Journal on Imaging Sciences 7, 2226–2257 (2014).
[Zim20]
R. Zimmermann. Hermite Interpolation and Data Processing Errors on Riemannian Matrix Manifolds. SIAM Journal on Scientific Computing 42, A2593-A2619 (2020).