𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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.


📜 SIMILAR VOLUMES


On a class of extremal solutions of a mo
✍ Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB 👁 1 views

## 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

Orthogonal rational matrix-valued functi
✍ Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 391 KB

## Abstract This paper contains first steps towards a Szegö theory of orthogonal rational matrix‐valued functions on the unit circle 𝕋. Hereby we are guided by former work of Bultheel, González‐Vera, Hendriksen, and Njåstad on scalar orthogonal rational functions on the one side and by investigatio

A block completion problem for matrix-va
✍ B. Fritzsche; B. Kirstein; K. Müller 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 929 KB

In this paper, several block completion problems for matrix-valued inner functions are studied,

A note on matrix-valued rational interpo
✍ Gong-Qin Zhu; Jie-Qing Tan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 192 KB

In this paper, by deÿning a kind of transformation from matrix to vector, we succeed in transferring some results on vector-valued rational interpolants to those corresponding to the matrix-valued rational interpolants. Moreover, it is pointed out through a numerical example that the statement of th