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math.NA2026
Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods
Reinhard Nabben, Ludwig Rooch
Recently a new approach to analyze and create algebraic multigrid methods (AMG) for nonsymmetric and indefinite matrices was established. Convergence is measured in general norms i…
math.NA2026
Optimal transfer operators for nonsymmetric two-grid methods
Reinhard Nabben, Ludwig Rooch
Algebraic Multigrid (AMG) methods have been proven to be effective solvers for large-scale linear algebraic systems with Hermitian positive definite (HPD) matrix . For…
math.NA2025
Factorized sparse approximate inverse preconditioning for singular M-matrices
Katherina Bick, Reinhard Nabben
Here we consider the factorized sparse approximate inverse (FSAI) preconditioner. We apply the FSAI preconditioner to singular irreducible M-matrices. These matrices arise e.g. in…