@article{abcfae3e2580412a909bb69099b761b2,
title = "On Integration of a Matrix Riccati Equation",
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.",
keywords = "algebraic invariant, Jordan form, matrix Riccati equation",
author = "Neshchadim, {M. V.} and Chupakhin, {A. P.}",
note = "Funding Information: The authors were supported by the Programs of Basic Research nos. III.22.4.1 and I.1.5 (project no. 0314–2019–0011) of the Siberian Branch of the Russian Academy of Sciences. Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2020",
month = nov,
doi = "10.1134/S1990478920040110",
language = "English",
volume = "14",
pages = "732--742",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",
}