The L-curve and its use in the numerical treatment of inverse problems

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    Abstract

    The L-curve is a log-log plot of the norm of a regularized solution versus the norm of the corresponding residual norm. It is a convenient graphical tool for displaying the trade-off between the size of a regularized solution and its fit to the given data, as the regularization parameter varies. The L-curve thus gives insight into the regularizing properties of the underlying regularization method, and it is an aid in choosing an appropriate regularization parameter for the given data. In this chapter we summarize the main properties of the L-curve, and demonstrate by examples its usefulness and its limitations both as an analysis tool and as a method for choosing the regularization parameter.
    Original languageEnglish
    Title of host publicationInviteComputational Inverse Problems in Electrocardiology
    PublisherWIT Press
    Publication date2000
    Publication statusPublished - 2000
    EventInviteComputational Inverse Problems in Electrocardiology -
    Duration: 1 Jan 2000 → …

    Conference

    ConferenceInviteComputational Inverse Problems in Electrocardiology
    Period01/01/2000 → …

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