  The main goal of this paper is to achieve a parametrization of the solution
set of the truncated matricial Hausdorff moment problem in the non-degenerate
and degenerate situation. We treat the even and the odd cases simultaneously.
Our approach is based on Schur analysis methods. More precisely, we use two
interrelated versions of Schur-type algorithms, namely an algebraic one and a
function-theoretic one. The algebraic version, worked out in our former paper
arXiv:1908.05115, is an algorithm which is applied to finite or infinite
sequences of complex matrices. The construction and discussion of the
function-theoretic version is a central theme of this paper. This leads us to a
complete description via Stieltjes transform of the solution set of the moment
problem under consideration. Furthermore, we discuss special solutions in
detail.
