Quasi-inverses and approximation with min-max operators in the ℓ 1-norm

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dc.contributor.authorRohwer C.H.
dc.date.accessioned2011-05-15T16:05:23Z
dc.date.available2011-05-15T16:05:23Z
dc.date.issued2006
dc.description.abstractThe semi-group of min-max operators, as used for nonlinear smoothing or multiresolution analysis, has no nontrivial inverses. Having chosen a smoother for a specific purpose, the secondary approximation problem of minimising damage was considered by showing that quasi-inverses exist. This was done with respect to the total variation as norm in ℓ 1, as this is natural for these operators. We show that these quasi-inverses also minimise the residual in the more usual 1-norm. © 2006 NISC Pty Ltd.
dc.description.versionArticle
dc.identifier.citationQuaestiones Mathematicae
dc.identifier.citation29
dc.identifier.citation2
dc.identifier.issn16073606
dc.identifier.urihttp://hdl.handle.net/10019.1/13104
dc.titleQuasi-inverses and approximation with min-max operators in the ℓ 1-norm
dc.typeArticle
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