In this contribution, we study properties of block Hessenberg matrices associated with matrix orthonormal polynomials on the unit circle. We also consider the Uvarov and Christoffel spectral matrix transformations of the orthogonality measure, and obtain some relations between the associated Hessenberg matrices.

中文翻译：

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单位圆上矩阵正交多项式的Block Hessenberg矩阵和谱变换

在这一贡献中，我们研究了单位圆上与矩阵正交多项式相关的块Hessenberg矩阵的性质。我们还考虑正交性度量的Uvarov和Christoffel光谱矩阵变换，并获得关联的Hessenberg矩阵之间的一些关系。