Oblique projections, pseudoinverses, and standard-form transformations

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    Abstract

    Standard-form transformation is a technique for transforming a discrete ill-posed problem in general form (with a seminorm as regularizing term) into a standard-form problem. We give a simple geometric explanation why the weighted pseudoinverse is the correct inverse to use in the standard-form transformation. Our presentation is based on oblique projections and oblique pseudoinverses - tools that are often overlooked in numerical analysis.
    Original languageEnglish
    Publication statusPublished - 2004

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