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Stability of saddle points via explicit coderivatives of pointwise subdifferentials
(Springer, 2016)
We derive stability criteria for saddle points of a class of nonsmooth optimization problems in Hilbert spaces arising in PDE-constrained optimization, using metric regularity of infinite-dimensional set-valued mappings. ...
Diffusion tensor imaging with deterministic error bounds
(SpringerJournal of Mathematical Imaging and Vision, 2016)
Errors in the data and the forward operator of an inverse problem can be handily modelled using partial order in Banach lattices. We present some existing results of the theory of regularisation in this novel framework, ...
Preconditioned ADMM with nonlinear operator constraint
(SpringerIFIP Advances in Information and Communication Technology, 2016)
We are presenting a modification of the well-known Alternating Direction Method of Multipliers (ADMM) algorithm with additional preconditioning that aims at solving convex optimisation problems with nonlinear operator ...