Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures | Zendy

Marcin J. Zygmunt | Zendy

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Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures

Author(s) -

Marcin J. Zygmunt

Publication year - 2016

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2016.36.3.409

Subject(s) - mathematics , orthogonal polynomials , matrix (chemical analysis) , pure mathematics , orthogonal matrix , symmetric matrix , combinatorics , eigenvalues and eigenvectors , orthogonal basis , materials science , physics , quantum mechanics , composite material

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

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