How to transform matrices U 1,...,U p to matrices V 1,...,V p so that V iV T j=O if i≠j?

Vladimir Ejov, Anatoli Torokhti

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    Abstract

    Methods of a transformation of matrices U1,...,Up to matrices V1,...,Vp are proposed so that ViVT j=O for i≠j and i,j=1,...,p. We consider unconstrained and constrained problems associated with such a transformation. Solutions of the both problems are provided.

    Original languageEnglish
    Pages (from-to)293-299
    Number of pages7
    JournalNumerical Algebra, Control and Optimization
    Volume2
    Issue number2
    DOIs
    Publication statusPublished - Jun 2012

    Keywords

    • Generalized inverse
    • Matrix approximations
    • Singular value decomposition

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