## Abstract The main theme of this paper is the discussion of a parametrized family of solutions of a finite moment problem for rational matrix‐valued functions in the nondegenerate case. We will show that each member of this family is extremal in several directions concerning some point of the ope
On a moment problem for rational matrix-valued functions
✍ Scribed by Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 276 KB
- Volume
- 372
- Category
- Article
- ISSN
- 0024-3795
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✦ Synopsis
The papers deals with a finite moment problem for rational matrix-valued functions. We present a necessary and sufficient condition for the solvability of the problem. In the nondegenerate case we construct a particular solution which has interesting extremal properties.
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AND I. GoHBERG School of Mathematical Sciences, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Avi" University, Tel-Aviv, Ramat-Aviv 69989, Israel