TY  - JOUR
ID  - Zygmunt2016
LB  - Zygmunt2016
AU  - Zygmunt, Marcin J.
TI  - Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures
ST  - Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 3
SP  - 409
EP  - 423
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.3.409
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.3.409
AB  - 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.
KW  - matrix orthogonal polynomials
KW  - recurrence formula
KW  - matrix of measures
KW  - block Jacobi matrices
SN  - 1232-9274
ER  -