An alternating iterative minimisation algorithm for the double-regularised total least square functional

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dc.contributor University of Helsinki, Department of Mathematics and Statistics en
dc.contributor.author Bleyer, Ismael Rodrigo
dc.contributor.author Ramlau, Ronny
dc.date.accessioned 2018-02-23T06:35:04Z
dc.date.available 2018-02-23T06:35:04Z
dc.date.issued 2015-07
dc.identifier.citation Bleyer , I R & Ramlau , R 2015 , ' An alternating iterative minimisation algorithm for the double-regularised total least square functional ' , Inverse Problems , vol. 31 , no. 7 , 075004 . https://doi.org/10.1088/0266-5611/31/7/075004 en
dc.identifier.issn 0266-5611
dc.identifier.other PURE: 52606276
dc.identifier.other PURE UUID: 45f374cf-48fe-452f-ac3b-877b3b61faf7
dc.identifier.other WOS: 000356793700004
dc.identifier.other Scopus: 84935923098
dc.identifier.uri http://hdl.handle.net/10138/232767
dc.description.abstract The total least squares (TLS) method is a successful approach for linear problems if both the right-hand side and the operator are contaminated by some noise. For ill-posed problems, a regularisation strategy has to be considered to stabilise the computed solution. Recently a double regularised TLS method was proposed within an infinite dimensional setup and it reconstructs both function and operator, reflected on the bilinear forms Our main focuses are on the design and the implementation of an algorithm with particular emphasis on alternating minimisation strategy, for solving not only the double regularised TLS problem, but a vast class of optimisation problems: on the minimisation of a bilinear functional of two variables. en
dc.format.extent 21
dc.language.iso eng
dc.relation.ispartof Inverse Problems
dc.rights en
dc.subject ill-posed problems en
dc.subject noisy operator en
dc.subject noisy right-hand side en
dc.subject regularised total least squares en
dc.subject alternating minimisation en
dc.subject wavelets en
dc.subject subderivatives en
dc.subject CONVEX-FUNCTIONS en
dc.subject 111 Mathematics en
dc.title An alternating iterative minimisation algorithm for the double-regularised total least square functional en
dc.type Article
dc.description.version Peer reviewed
dc.identifier.doi https://doi.org/10.1088/0266-5611/31/7/075004
dc.type.uri info:eu-repo/semantics/other
dc.type.uri info:eu-repo/semantics/publishedVersion
dc.contributor.pbl

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