Robust solutions to a general class of approximation problems

Alistair Watson

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    The solution of robust counterparts of optimization problems with uncertain data is currently attracting much interest. In particular, this has been considered in the context of approximation using total least squares. Here we consider the analogue of this in the errors-invariables context, where attention is focused on the particular errors which arise in the individual independent variable values in data fitting problems. In addition to consideration of problems which are linear in the free parameters, some suggestions are made for the treatment of nonlinear problems. The emphasis throughout is on providing methods which are computationally tractable, and the results parallel and extend earlier results on uncertain linear approximation problems.
    Original languageEnglish
    Pages (from-to)1448-1460
    Number of pages13
    JournalSIAM Journal on Scientific Computing
    Volume25
    Issue number4
    DOIs
    Publication statusPublished - 2004

    Keywords

    • Data fitting
    • Errors-in-variables
    • Robust counterparts

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