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About explicit factorization of some classes of non-rational matrix functions

✍ Scribed by Ana C. Conceição; Viktor G. Kravchenko


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
194 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

We construct an algorithm that allows us to determine an effective canonical factorization of some non‐rational matrix‐valued functions. For those matrix‐valued functions whose entries can be represented through a innerouter factorization (when the outer function is rational) it is shown that its explicit factorization can be obtained through the solutions of two non‐homogeneous equations. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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✍ 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