38 citations · 242 across the 36 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018
Projected Newton method for a system of Tikhonov-Morozov equations
Nick Schenkels, Wim Vanroose
In this paper we derive a Newton type method to solve the non-linear system formed by combining the Tikhonov normal equations and Morozov's discrepancy principle. We prove that by…
math.NA2018
Regula falsi based automatic regularization method for PDE constrained optimization
Nick Schenkels, Wim Vanroose
Many inverse problems can be described by a PDE model with unknown parameters that need to be calibrated based on measurements related to its solution. This can be seen as a constr…
cs.DC2018★ 19 cited
The Communication-Hiding Conjugate Gradient Method with Deep Pipelines
Jeffrey Cornelis, Siegfried Cools, Wim Vanroose
Krylov subspace methods are among the most efficient solvers for large scale linear algebra problems. Nevertheless, classic Krylov subspace algorithms do not scale well on massivel…