2 papers
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 for…
math.NA2025
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…