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

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    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
    Issue number2
    Publication statusPublished - Jun 2012


    • Generalized inverse
    • Matrix approximations
    • Singular value decomposition


    Dive into the research topics of 'How to transform matrices U <sub>1</sub>,...,U <sub>p</sub> to matrices V <sub>1</sub>,...,V <sub>p</sub> so that V <sub>i</sub>V <sup>T</sup> <sub>j</sub>=O if i≠j?'. Together they form a unique fingerprint.

    Cite this