5 citations · 5 across the 4 of their papers we have counts for
4 papers
Projected Newton Method for noise constrained Tikhonov regularization
Jeffrey Cornelis, Nick Schenkels, Wim Vanroose
Tikhonov regularization is a popular approach to obtain a meaningful solution for ill-conditioned linear least squares problems. A relatively simple way of choosing a good regulari…
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…
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…
A Generalized Bidiagonal-Tikhonov Method Applied To Differential Phase Contrast Tomography
Nick Schenkels, Jan Sijbers, Wim van Aarle +1
Phase contrast tomography is an alternative to classic absorption contrast tomography that leads to higher contrast reconstructions in many applications. We review how phase contra…