Patrick Jaap
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View article: How to project onto SL($n$)
How to project onto SL($n$) Open
We consider the closest-point projection with respect to the Frobenius norm of a general real square matrix to the set SL($n$) of matrices with unit determinant. As it turns out, it is sufficient to consider diagonal matrices only. We inve…
View article: Representative volume element approximations in elastoplastic spring networks
Representative volume element approximations in elastoplastic spring networks Open
We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic springs with random material properties. We formulate the model as an evolutionary rate independent system (ERIS). In an earlier work…
View article: Inexact Proximal Newton methods in Hilbert spaces
Inexact Proximal Newton methods in Hilbert spaces Open
We consider Proximal Newton methods with an inexact computation of update steps. To this end, we introduce two inexactness criteria which characterize sufficient accuracy of these update step and with the aid of these investigate global co…
View article: Second order semi-smooth Proximal Newton methods in Hilbert spaces
Second order semi-smooth Proximal Newton methods in Hilbert spaces Open
We develop a globalized Proximal Newton method for composite and possibly non-convex minimization problems in Hilbert spaces. Additionally, we impose less restrictive assumptions on the composite objective functional considering differenti…