Tag: schulz

Convergence of Muon with Newton-Schulz arXiv:2601.19156v1 Announce Type: new Abstract: We analyze Muon as originally proposed and used in practice — using the momentum orthogonalization with a few Newton-Schulz steps. The prior theoretical results replace this key step in Muon with an exact SVD-based polar factor. We prove that Muon with Newton-Schulz converges to a…