An Application of the Schur Complement to Truncated Matricial Power Moment Problems

2017/12/19 by Bernd Fritzsche, Fritzsche, Bernd, Bernd Kirstein +3
Mathematics · Physics and Astronomy · #Mathematics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math.CA #msc:44A60 #msc:47A57

paper · pdf · doi:10.48550/arxiv.1712.06864

arxiv created 2017/12/19 · arxiv updated 2017/12/20

Abstract

The main goal of this paper is to reconsider a phenomenon which was treated in earlier work of the authors' on several truncated matricial moment problems. Using a special kind of Schur complement we obtain a more transparent insight into the nature of this phenomenon. In particular, a concrete general principle to describe it is obtained. This unifies an important aspect connected with truncated matricial moment problems.

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