A factorisation procedure for two by two matrix functions on the circle with two rationally independent entries

Autor:	S. Prößdorf, Frank-Olme Speck
Rok vydání:	1990
Předmět:	Algebra Factorization General Mathematics Matrix function Scalar (mathematics) Rational function Linear combination Wiener algebra Rational matrices Mathematics
Zdroj:	Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 115:119-138
ISSN:	1473-7124 0308-2105
DOI:	10.1017/s0308210500024616
Popis:	SynopsisThe aim of this paper is the explicit canonical or standard factorisation of matrix functions with Wiener algebra elements. The present approach covers all regular 2 × 2 matrices where two entries are arbitrary and the remaining two are linear combinations of the former with rational coefficient functions. It is based on the knowledge of how to factorise scalar functions and rational matrix functions. In general, one also needs the approximation of any scalar Wiener algebra function with a rational function. However, this can be easily circumvented in many applications by intuitive manipulations with rational matrix functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ced4bb79676a2fb30d56ef8d4a874c08 https://doi.org/10.1017/s0308210500024616 Zobrazit plný text záznamu