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math.NA2026
Graph Neural Multilevel Preconditioners for Iterative Solvers
Zechen Zhang, Rui Peng Li, Yousef Saad
Solving large, sparse linear systems is a core task in scientific computing, and efficient iterative solvers rely critically on effective and robust preconditioning. While classica…
math.NA2026
Hierarchical Muon: Tiled Newton-Schulz Updates for Efficient Muon Optimization
Ziyuan Tang, Tianshi Xu, Yousef Saad +1
Muon-type optimizers construct update directions for dense neural-network weights by applying a finite Newton-Schulz map to momentum-gradient matrices. For an matrix,…