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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…