#iterative solvers
2 resultsmath.NA2026
Graph Neural Multilevel Preconditioners for Iterative Solvers
Zechen Zhang, Rui Peng Li, Yousef Saad
The paper proposes a Graph Neural Multilevel Preconditioner that integrates an algebraic multigrid hierarchy into a learned GNN framework to improve the convergence of iterative so…
#graph neural networks#preconditioning#multigrid#iterative solvers
math.NA2026
NGMRES convergence analysis and proof of acceleration for contractive and noncontractive iterations
Y. He, L. Rebholz, M. Xiao
The paper provides the first theoretical convergence analysis of nonlinear GMRES (NGMRES) for both contractive and noncontractive fixed‑point iterations, identifying the ratio‑gain…
#nonlinear gmres#fixed point iteration#convergence analysis#acceleration methods