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Browsing by Author "Zygmunt, Marcin J."

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    Item type:Article, Access status: Open Access ,
    Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures
    (2016) Zygmunt, Marcin J.
    The paper focuses on matrix-valued polynomials satisfying a three-term recurrence relation with constant matrix coefficients. It is shown that they form an orthogonal system with respect to a matrix of measures, not necessarily symmetric. Moreover, it is stated the condition on the coefficients of the recurrence formula for which the matrix measure is symmetric.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Non symmetric random walk on infinite graph
    (2011) Zygmunt, Marcin J.
    We investigate properties of a non symmetric Markov's chain on an infinite graph. We show the connection with matrix valued random walk polynomials which satisfy the orthogonality formula with respect to non a symmetric matrix valued measure.