Sufficient Condition for Consistency of Infinite Systems

F. M. Fedorov

doi:10.1007/s10958-018-3724-1

Sufficient Condition for Consistency of Infinite Systems

F. M. Fedorov

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

Аннотация

Based on the theory of double series, we obtain a sufficient condition for the existence of strictly partial solutions to infinite systems of linear algebraic equations. We prove series expansion theorems for infinite determinants of Gaussian infinite matrices. Examples of application of the proposed condition are given.

Язык оригинала	английский
Страницы (с-по)	36-45
Число страниц	10
Журнал	Journal of Mathematical Sciences (United States)
Том	230
Номер выпуска	1
DOI	https://doi.org/10.1007/s10958-018-3724-1
Состояние	Опубликовано - 1 апр. 2018
Опубликовано для внешнего пользования	Да

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

ГРНТИ

27 МАТЕМАТИКА

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10.1007/s10958-018-3724-1

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