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

被引：5
|
作者：
Conceicao, Ana C. [1 ]
Kravchenko, Viktor G. [1 ]
机构：
[1] Univ Algarve, Fac Ciencias & Tecnol, Dept Matemat, P-8000810 Faro, Portugal
来源：
MATHEMATISCHE NACHRICHTEN | 2007年 / 280卷 / 9-10期
关键词：
explicit factorization; algorithm; singular integral operator; non-homogeneous equations; inner function; outer function;
D O I：
10.1002/mana.200510533
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 inner-outer 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. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：1022 / 1034
页数：13
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