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arXiv · 1707.06000

On the truncated matricial Stieltjes moment problem $\mathsf{M}[[\alpha,\infty);(s_j)_{j=0}^m,\leq]$

Bernd Fritzsche·Bernd Kirstein·Torsten Schröder·Conrad Mädler
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Abstract

This paper gives via Stieltjes transform a complete description of the solution set of a matricial truncated Stieltjes-type power moment problem in the non-degenerate and degenerate cases. The approach is based on the Schur type algorithm which was worked out in the papers [arXiv:1604.07240, arXiv:1604.07629]. Furthermore, the subset of parameters is determined which corresponds to another truncated matricial Stieltjes-type moment problem.

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Bernd Fritzsche, Bernd Kirstein, Torsten Schröder, Conrad Mädler. 2017-07-19. On the truncated matricial Stieltjes moment problem $\mathsf{M}[[\alpha,\infty);(s_j)_{j=0}^m,\leq]$. https://arxiv.org/abs/1707.06000

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