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)
📜 SIMILAR VOLUMES
## 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