In this paper we study the strong matrix Stieltjes moment problem. We obtain necessary and sufficient conditions for its solvability. An analytic description of all solutions of the moment problem is derived. Necessary and sufficient conditions for the determinateness of the moment problem are given.
@article{arxiv.1106.2031,
title = {The strong matrix Stieltjes moment problem},
author = {A. E. Choque Rivero and S. M. Zagorodnyuk},
journal= {arXiv preprint arXiv:1106.2031},
year = {2011}
}