On a Simultaneous Approach to the Even and Odd Truncated Matricial Stieltjes Moment Problem I: An α-Schur-Stieltjes-type algorithm for sequences of complex matrices

2016/04/25 by Bernd Fritzsche, Fritzsche, Bernd, Bernd Kirstein +3
Computer Science · Mathematics · #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Matrix Theory and Algorithms #Wireless Communication Networks Research #math.CV

paper · pdf · doi:10.48550/arxiv.1604.07240

arxiv created 2016/04/25 · openalex publication_date 2016/04/25 · arxiv updated 2016/04/26 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

The characterization of the solvability of matrix versions of truncated Stieltjes-type moment problems led to the class of α-Stieltjes non-negative definite sequences of complex q × q matrices. In [21], a parametrization of this class was introduced, the so-called α-Stieltjes parametrization. The main topic of this first part of the paper is the construction of a Schur-type algorithm which produces exactly the α-Stieltjes parametrization.

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