A Potapov-type approach to a truncated matricial Stieltjes-type power moment problem

TL;DR

This paper introduces a parametrization method for solving truncated matricial Stieltjes power moment problems using Potapov's fundamental matrix inequalities, applicable in both degenerate and non-degenerate cases.

Contribution

It provides a novel parametrization approach for the solution set of the truncated matricial Stieltjes moment problem based on Potapov's inequalities.

Findings

Solution set parametrization for non-degenerate cases

Solution set parametrization for degenerate cases

Utilization of Potapov's fundamental matrix inequalities

Abstract

The paper gives a parametrization of the solution set of a matricial Stieltjes-type truncated power moment problem in the non-degenerate and degenerate cases. The key role plays the solution of the corresponding system of Potapov's fundamental matrix inequalities.