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

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

Complex Variables 2017-07-20 v1 Classical Analysis and ODEs

Authors: Bernd Fritzsche , Bernd Kirstein , Torsten Schröder , Conrad Mädler

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.

Keywords

Stieltjes moment problem matricial truncated moment Stieltjes transform Schur algorithm non-degenerate case degenerate case power moment

Cite

@article{arxiv.1707.06000,
  title  = {On the truncated matricial Stieltjes moment problem $\mathsf{M}[[\alpha,\infty);(s_j)_{j=0}^m,\leq]$},
  author = {Bernd Fritzsche and Bernd Kirstein and Torsten Schröder and Conrad Mädler},
  journal= {arXiv preprint arXiv:1707.06000},
  year   = {2017}
}

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

Abstract

Keywords

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