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Exact Minimizers in Real Interpolation: Some additional results
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering. Department of Mathematics, School of Pure and Applied Science, College of Science and Technology, University of Rwanda, P.O. Box 3900 Kigali, Rwanda.ORCID iD: 0000-0002-8188-7672
2015 (English)Report (Other academic)
Abstract [en]

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.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2015. , 29 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2015:10
Keyword [en]
Regular Banach triple, Optimal decompositions, Complex Banach couple, Real Interpolation, Convex Duality
National Category
URN: urn:nbn:se:liu:diva-118524ISRN: LiTH-MAT-R--2015/10--SEOAI: diva2:815331
Available from: 2015-05-29 Created: 2015-05-29 Last updated: 2015-05-29

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Niyobuhungiro, Japhet
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Mathematics and Applied MathematicsFaculty of Science & Engineering

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