3 papers
math.CA2013
Matrix Orthogonal Polynomial in the theory of Full Kostant-Toda Systems
Amílcar Branquinho, Ana Foulquié Moreno, Ana Mendes
In this work we characterize a full Kostant-Toda system in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure. In order to study the soluti…
math.CA2010
Relative asymptotics for orthogonal matrix polynomials
A. Branquinho, F. Marcellán, A. Mendes
In this paper we study sequences of matrix polynomials that satisfy a non-symmetric recurrence relation. To study this kind of sequences we use a vector interpretation of the matri…
math.CA2009
Vector interpretation of the matrix orthogonality on the real line
A. Branquinho, F. Marcellán, A. Mendes
In this paper we study sequences of vector orthogonal polynomials. The vector orthogonality presented here provides a reinterpretation of what is known in the literature as matrix…