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On Integration of a Matrix Riccati Equation Научная публикация

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Вых. Данные

Год: 2020, Том: 14, Номер: 4, Страницы: 732-742 Страниц : 11 DOI: 10.1134/S1990478920040110

Ключевые слова

algebraic invariant; Jordan form; matrix Riccati equation

Авторы

Neshchadim M.V. ^1,2 , Chupakhin A.P. ^2,3

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation
3	Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russian Federation

Abstract: We execute the complete integration of the simplest matrix Riccati equation in the two- andthree-dimensional cases for an arbitrary linear differential operator. The solution isconstructed in terms of the Jordan form of an unknown matrix and the corresponding similaritymatrix. We show that a similarity matrix is always representable as the product of two matricesone of which is an invariant of the differential operator. © 2020, Pleiades Publishing, Ltd.

Neshchadim M.V. , Chupakhin A.P.
On Integration of a Matrix Riccati Equation
Journal of Applied and Industrial Mathematics. 2020. V.14. N4. P.732-742. DOI: 10.1134/S1990478920040110 Scopus OpenAlex

Scopus:	2-s2.0-85100385214
OpenAlex:	W3129042448

БД	Цитирований
Scopus	3
OpenAlex	4