Exact Minimizers in Real Interpolation: Some additional results
(English)Manuscript (preprint) (Other academic)
We present some extensions of results presented in our recent papers. First we extend the characterization of optimal decompositions for a Banach couple to optimal decompositions for a Banach triple. Next we show that our approach can apply when complex spaces are considered instead of real spaces. Finally we compare the performance of the algorithm that we have proposed for the ROF model with the Split Bregman algorithm. The Split Bregman algorithm can in principle be regarded as a benchmark algorithm for the ROF model. We find out that in most cases both algorithms behave in a similar way and that in some cases our algorithm decreases the error faster with the number of iterations.
Regular Banach triple, Optimal decompositions, Complex Banach couple, Real Interpolation, Convex Duality
IdentifiersURN: urn:nbn:se:liu:diva-118355OAI: oai:DiVA.org:liu-118355DiVA: diva2:814579