Orthogonal matrix polynomials satisfying second-order differential equations

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Electrostatic models for zeros of polynomials: Old, new, and some open problems (2005, background): “Duran and Grünbaum gave in [19,20] some examples of matrix orthogonal polynomials { P n } satisfying the second order linear ODE of the form P n (x)A 2 (x) + P n (x)A 1 (x) + P n (x)A 0 (x) = (cid:12) n P n (x), n (cid”
Matrix Valued Orthogonal Polynomials related to (SU(2) x SU(2),diag) (2010, background): “Matrix-valued orthogonal polynomials arose in the work of Krein [27], [28] and have been studied from an analytic point of view by Durán and others, see [7], [8], [9], [10], [11] and references given there.”
The Algebra of Differential Operators Associated to a Weight Matrix (2007, background): “In [8]and [16] one finds necessary and sufficient conditions onW such that some second order”
The Analytic Theory of Matrix Orthogonal Polynomials (2007, methodology): “The corresponding real line theory (MOPRL) is still more recent: Following early work of Krein [133] and Berezan’ski [9] on block Jacobi matrices, mainly as applied to self-adjoint extensions, there was a seminal paper of Aptekarev–Nikishin [4] and a flurry of papers since the 1990s [10, 11, 12, 14,”
A survey on orthogonal matrix polynomials satisfying second order differential equations (2005, methodology): “In [15,18], we have completely solved the case when either A or B vanish.”