184 research outputs found
An Application of the Schur Complement to Truncated Matricial Power Moment Problems
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
On the structure of Hausdorff moment sequences of complex matrices
The paper treats several aspects of the truncated matricial
-Hausdorff type moment problems. It is shown that each
-Hausdorff moment sequence has a particular intrinsic
structure. More precisely, each element of this sequence varies within a closed
bounded matricial interval. The case that the corresponding moment coincides
with one of the endpoints of the interval plays a particular important role.
This leads to distinguished molecular solutions of the truncated matricial
-Hausdorff moment problem, which satisfy some extremality
properties. The proofs are mainly of algebraic character. The use of the
parallel sum of matrices is an essential tool in the proofs.Comment: 53 pages, LaTeX; corrected typos, added missing notation
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