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math.NA2026
Applying acceleration to Krylov subspace eigenvalue solvers
Michelle Baker, Sara Pollock
In this paper, we apply acceleration to the inverse-free preconditioned Krylov subspace method introduced by Golub and Ye, which solves the symmetric generalized eigenvalue problem…
math.NA2024
Analysis of an Adaptive Safeguarded Newton-Anderson Algorithm of Depth One with Applications to Fluid Problems
Matt Dallas, Sara Pollock, Leo G. Rebholz
The purpose of this paper is to develop a practical strategy to accelerate Newton's method in the vicinity of singular points. We present an adaptive safeguarding scheme with a tun…