A Schur–Nevanlinna Type Algorithm for the Truncated Matricial Hausdorff Moment Problem

The main goal of this paper is to achieve a parametrization the solution set truncated matricial Hausdorff moment problem in non-degenerate and degenerate situations. We treat even odd cases simultaneously. Our approach based on Schur analysis methods. More precisely, we use two interrelated versions Schur-type algorithms, namely an algebraic one function-theoretic one. version, worked out our former (Fritzsche et al.: Linear Algebra Appl 590:133–209. https://doi.org/10.1016/j.laa.2019.12.027 , 2020), algorithm which applied finite or infinite sequences complex matrices. construction discussion version central theme paper. This leads us complete description via Stieltjes transform under consideration. Furthermore, discuss special solutions detail.