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math.NA2023
From low-rank retractions to dynamical low-rank approximation and back
Axel Séguin, Gianluca Ceruti, Daniel Kressner
In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More rec…
math.NA2023
Subspace Acceleration for a Sequence of Linear Systems and Application to Plasma Simulation
Margherita Guido, Daniel Kressner, Paolo Ricci
We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent partial differential equations…