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math.NA2026
Scalable s-step Preconditioned Conjugate Gradient with Chebyshev Basis and Gauss-Seidel Gram Solve
Pasqua D'Ambra, Massimo Bernaschi, Mauro G. Carrozzo +1
We present a variant of the s--step Preconditioned Conjugate Gradient (PCG) method that combines a Chebyshev--stabilized Krylov basis with a Forward Gauss--Seidel (FGS) iteration f…
math.NA2025★ 1 cited
Communication-reduced Conjugate Gradient Variants for GPU-accelerated Clusters
Massimo Bernaschi, Mauro G. Carrozzo, Alessandro Celestini +2
Linear solvers are key components in any software platform for scientific and engineering computing. The solution of large and sparse linear systems lies at the core of physics-dri…