𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Representations of Central Matrix-Valued Carathéodory Functions in Both Nondegenerate and Degenerate Cases

✍ Scribed by Bernd Fritzsche; Bernd Kirstein

Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
310 KB
Volume
50
Category
Article
ISSN
0378-620X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the sequences of the Weyl semi-radii
On the sequences of the Weyl semi-radii associated with matricial Carathéodory and Schur sequences in both nondegenerate and degenerate cases
✍ Bernd Fritzsche; Bernd Kirstein; Uwe Raabe 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 447 KB

In this paper we discuss Weyl matrix balls in the context of the matricial versions of the classical interpolation problems named after Carathéodory and Schur. Our particular focus will be on studying the monotonicity of suitably normalized semi-radii of the corresponding Weyl matrix balls. We, furt

A Unified Treatment for the Matrix Stiel
A Unified Treatment for the Matrix Stieltjes Moment Problem in Both Nondegenerate and Degenerate Cases
✍ Chen Gong-ning; Hu Yong-jian 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 99 KB

This paper presents a unified method for the solution of the matrix Stieltjes moment problem in both the nondegenerate and degenerate cases, based on the use of our recent investigation of the matrix Hamburger moment problem. As a by-product, a complete solution of the matrix Nevanlinna᎐Pick interpo

On a class of extremal solutions of a mo
On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case I
✍ 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