Matrix Biorthogonal Polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations

Amilcar Branquinho, Ana Foulquié Moreno, Manuel Mañas

In this paper we use the Riemann-Hilbert problem, with jumps supported on appropriate curves in the complex plane, for matrix biorthogonal polynomials and apply it to find Sylveste…