Opuscula Math. 36, no. 3 (), 409-423
http://dx.doi.org/10.7494/OpMath.2016.36.3.409
Opuscula Mathematica

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

Abstract. 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.
Keywords: matrix orthogonal polynomials, recurrence formula, matrix of measures, block Jacobi matrices.
Mathematics Subject Classification: 47B36, 15A57, 39B42, 42C05.