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

共 21 条

[1] Factorization of the Partly Non-rational Matrix of Arbitrary Order
S. V. Rogosin
L. P. Primachuk
M. V. Dubatovskaya
Lobachevskii Journal of Mathematics, 2023, 44 : 4054 - 4061
[2] Factorization of Triangular Matrix-Functions of an Arbitrary Order
L. Primachuk
S. Rogosin
Lobachevskii Journal of Mathematics, 2018, 39 (6) : 809 - 817
[3] Factorization of Triangular Matrix-Functions of an Arbitrary Order
Primachuk L.
Rogosin S.
Lobachevskii Journal of Mathematics, 2018, 39 (1) : 129 - 137
[4] Denominators of rational solutions of linear difference systems of an arbitrary order
S. A. Abramov
D. E. Khmelnov
Programming and Computer Software, 2012, 38 : 84 - 91
[5] Comment on "Order-recursive factorization of the pseudoinverse of a covariance matrix"
Zhou, J
Zhu, YM
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) : 1952 - 1953
[6] Approximate factorization for a class of second-order matrix functions
Kiyasov S.N.
Lobachevskii Journal of Mathematics, 2017, 38 (6) : 1131 - 1145
[7] Approximate Factorization for One Class of Second-Order Matrix Functions
Kiyasov, S. N.
UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI, 2016, 158 (04): : 511 - 529
[8] Some Cases of Efficient Factorization of Second-Order Matrix Functions
Kiyasov, S. N.
RUSSIAN MATHEMATICS, 2012, 56 (06) : 30 - 36
[9] A Class of Holder Matrix Functions of the Second Order Admitting Effective Factorization
Kiyasov, S. N.
RUSSIAN MATHEMATICS, 2022, 66 (10) : 56 - 61
[10] RETRACTED: Factorization of Triangular Matrix-Functions of an Arbitrary Order (Retracted article. See vol. 40, pg. 114, 2019)
Primachuk, L.
Rogosin, S.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2018, 39 (06) : 809 - 817

← 1 2 3 →