Matches in SemOpenAlex for { <https://semopenalex.org/work/W2319324579> ?p ?o ?g. }
- W2319324579 endingPage "788" @default.
- W2319324579 startingPage "767" @default.
- W2319324579 abstract "Abstract In this paper, we consider the data fitting problem, that is, the problem of approximating a function of several variables given by tabulated data and the analogous problem for inconsistent systems of linear equations. A traditional approach for solving these two problems is the least squares data fitting which is based on discrete l2 -norm. We apply an alternative approach: with each of these problems we associate a nonsmooth (nondifferentiable) unconstrained minimization problem with an objective function based on discrete l1 - and l∞, that is, we use these norms as proximity criteria. In other words, we solve the problems under consideration by minimizing the residual using these two norms. The emphasis is on implementation of these techniques. A subgradient method is used to solve the two problems and respective subgradients are calculated. Some computational results are given at the end of the paper. These results are compared with ones obtained by the iterative gradient method for the corresponding “smooth” (“differentiable”) least squares problems." @default.
- W2319324579 created "2016-06-24" @default.
- W2319324579 creator A5061895932 @default.
- W2319324579 date "2007-12-01" @default.
- W2319324579 modified "2023-09-26" @default.
- W2319324579 title "Applications of convex separable unconstrained nonsmooth optimization to numerical approximation with respect to l<sub>1</sub>- and l<sub>∞</sub>-norms" @default.
- W2319324579 cites W1966369193 @default.
- W2319324579 cites W1970997001 @default.
- W2319324579 cites W1990054948 @default.
- W2319324579 cites W2011903764 @default.
- W2319324579 cites W2019015445 @default.
- W2319324579 cites W2022204379 @default.
- W2319324579 cites W2030563458 @default.
- W2319324579 cites W2066280033 @default.
- W2319324579 cites W2072446998 @default.
- W2319324579 cites W2075665712 @default.
- W2319324579 cites W2081171157 @default.
- W2319324579 cites W2086594463 @default.
- W2319324579 cites W2086847993 @default.
- W2319324579 cites W2149247742 @default.
- W2319324579 cites W2429034345 @default.
- W2319324579 cites W322272296 @default.
- W2319324579 cites W4232499108 @default.
- W2319324579 cites W4254505840 @default.
- W2319324579 cites W4302564868 @default.
- W2319324579 cites W95071424 @default.
- W2319324579 doi "https://doi.org/10.1080/09720502.2007.10700532" @default.
- W2319324579 hasPublicationYear "2007" @default.
- W2319324579 type Work @default.
- W2319324579 sameAs 2319324579 @default.
- W2319324579 citedByCount "5" @default.
- W2319324579 countsByYear W23193245792019 @default.
- W2319324579 countsByYear W23193245792022 @default.
- W2319324579 crossrefType "journal-article" @default.
- W2319324579 hasAuthorship W2319324579A5061895932 @default.
- W2319324579 hasConcept C10494615 @default.
- W2319324579 hasConcept C105795698 @default.
- W2319324579 hasConcept C112680207 @default.
- W2319324579 hasConcept C11413529 @default.
- W2319324579 hasConcept C126255220 @default.
- W2319324579 hasConcept C134306372 @default.
- W2319324579 hasConcept C137836250 @default.
- W2319324579 hasConcept C14036430 @default.
- W2319324579 hasConcept C145446738 @default.
- W2319324579 hasConcept C147764199 @default.
- W2319324579 hasConcept C155512373 @default.
- W2319324579 hasConcept C157972887 @default.
- W2319324579 hasConcept C158968445 @default.
- W2319324579 hasConcept C17744445 @default.
- W2319324579 hasConcept C185429906 @default.
- W2319324579 hasConcept C191795146 @default.
- W2319324579 hasConcept C199539241 @default.
- W2319324579 hasConcept C202615002 @default.
- W2319324579 hasConcept C2524010 @default.
- W2319324579 hasConcept C28826006 @default.
- W2319324579 hasConcept C33923547 @default.
- W2319324579 hasConcept C70710897 @default.
- W2319324579 hasConcept C78458016 @default.
- W2319324579 hasConcept C86803240 @default.
- W2319324579 hasConcept C9936470 @default.
- W2319324579 hasConceptScore W2319324579C10494615 @default.
- W2319324579 hasConceptScore W2319324579C105795698 @default.
- W2319324579 hasConceptScore W2319324579C112680207 @default.
- W2319324579 hasConceptScore W2319324579C11413529 @default.
- W2319324579 hasConceptScore W2319324579C126255220 @default.
- W2319324579 hasConceptScore W2319324579C134306372 @default.
- W2319324579 hasConceptScore W2319324579C137836250 @default.
- W2319324579 hasConceptScore W2319324579C14036430 @default.
- W2319324579 hasConceptScore W2319324579C145446738 @default.
- W2319324579 hasConceptScore W2319324579C147764199 @default.
- W2319324579 hasConceptScore W2319324579C155512373 @default.
- W2319324579 hasConceptScore W2319324579C157972887 @default.
- W2319324579 hasConceptScore W2319324579C158968445 @default.
- W2319324579 hasConceptScore W2319324579C17744445 @default.
- W2319324579 hasConceptScore W2319324579C185429906 @default.
- W2319324579 hasConceptScore W2319324579C191795146 @default.
- W2319324579 hasConceptScore W2319324579C199539241 @default.
- W2319324579 hasConceptScore W2319324579C202615002 @default.
- W2319324579 hasConceptScore W2319324579C2524010 @default.
- W2319324579 hasConceptScore W2319324579C28826006 @default.
- W2319324579 hasConceptScore W2319324579C33923547 @default.
- W2319324579 hasConceptScore W2319324579C70710897 @default.
- W2319324579 hasConceptScore W2319324579C78458016 @default.
- W2319324579 hasConceptScore W2319324579C86803240 @default.
- W2319324579 hasConceptScore W2319324579C9936470 @default.
- W2319324579 hasIssue "6" @default.
- W2319324579 hasLocation W23193245791 @default.
- W2319324579 hasOpenAccess W2319324579 @default.
- W2319324579 hasPrimaryLocation W23193245791 @default.
- W2319324579 hasRelatedWork W2031052844 @default.
- W2319324579 hasRelatedWork W2083145615 @default.
- W2319324579 hasRelatedWork W2108516953 @default.
- W2319324579 hasRelatedWork W2161209207 @default.
- W2319324579 hasRelatedWork W2735159666 @default.
- W2319324579 hasRelatedWork W2804400349 @default.
- W2319324579 hasRelatedWork W2962970637 @default.
- W2319324579 hasRelatedWork W3090464062 @default.
- W2319324579 hasRelatedWork W4285243967 @default.