Opuscula Math. 36, no. 3 (2016), 409-423
Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures
Marcin J. Zygmunt
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.