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arXiv · 1604.07240

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

Bernd Fritzsche·Bernd Kirstein·Conrad Mädler
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Abstract

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

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Bernd Fritzsche, Bernd Kirstein, Conrad Mädler. 2016-04-25. On a Simultaneous Approach to the Even and Odd Truncated Matricial Stieltjes Moment Problem I: An $\alpha$-Schur-Stieltjes-type algorithm for sequences of complex matrices. https://arxiv.org/abs/1604.07240

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