Constructing a Minimal Basis of Invariants for Differential Algebra of (Formula presented.) Matrices

S. A. Vasyutkin; A. P. Chupakhin

doi:10.1134/S1990478922020156

Constructing a Minimal Basis of Invariants for Differential Algebra of (Formula presented.) Matrices

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We construct a basis of invariants for the set of second-order matrices consisting of theoriginal matrix and its derivatives. It is shown that the presence of derivatives imposes connectionson the elements of this set and reduces the number of elements in the basis compared to the purelyalgebraic case. Formulas for calculating algebraic invariants of such a set are proved. We state ageneralization of Fricke’s formulas in terms of the traces of the product of matrices in this set.

Язык оригинала	английский
Страницы (с-по)	356-364
Число страниц	9
Журнал	Journal of Applied and Industrial Mathematics
Том	16
Номер выпуска	2
DOI	https://doi.org/10.1134/S1990478922020156
Состояние	Опубликовано - мая 2022

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА
2.03 МЕХАНИКА И МАШИНОСТРОЕНИЕ

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author = "Vasyutkin, {S. A.} and Chupakhin, {A. P.}",

note = "Funding Information: This work was supported financially by the Programs of Fundamental Scientific Research of the Siberian Branch of the Russian Academy of Sciences, project no. 2.3.1.2.10, code FWGG-2021-0009. Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

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Constructing a Minimal Basis of Invariants for Differential Algebra of (Formula presented.) Matrices. / Vasyutkin, S. A.; Chupakhin, A. P.

В: Journal of Applied and Industrial Mathematics, Том 16, № 2, 05.2022, стр. 356-364.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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