✦ LIBER ✦

On rank variation of block matrices generated by Nevanlinna matrix functions

✍ Scribed by Hu Yong-Jian; Chen Gong-Ning

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 249 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610759

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Within the framework of the multiple Nevanlinna–Pick matrix interpolation and its related matrix moment problem, we study the rank of block moment matrices of various kinds, generalized block Pick matrices and generalized block Loewner matrices, as well as their Potapov modifications, generated by Nevanlinna matrix functions, and derive statements either on rank (or inertia) invariance in different senses or on rank variation of such types of block matrices (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Asymptotics of block Toeplitz determinan

Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices

✍ Alexei Yu. Karlovich 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract We prove asymptotic formulas for block Toeplitz matrices with symbols admitting right and left Wiener–Hopf factorizations such that all partial indices are equal to some integer number. We consider symbols and Wiener–Hopf factorizations in Wiener algebras with weights satisfying natural