Factorization of the Partly Non-rational Matrix of Arbitrary Order

被引：0

作者：

Rogosin, S. V. ^{[1
]}

Primachuk, L. P. ^{[1
]}

Dubatovskaya, M. V. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 220030, BELARUS

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 09期

关键词：

factorization; partly non-rational matrix; arbitrary order; continued fraction;

D O I：

10.1134/S1995080223090330

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proposed a constructive method of factorization of partly non-rational matrix-functions of an arbitrary order. The algorithm is efficient for the case when n - 1 columns or n - 1 rows consist of rational functions. Our method generalizes the method of factorization of the triangular matrix function of an arbitrary order and the method of reduction of the 2 x 2 matrix-function with a rational column/row to the triangular matrix-function.

引用

页码：4054 / 4061

页数：8