Sufficient Condition for Consistency of Infinite Systems
- Авторлар: Fedorov F.M.1,2
-
Мекемелер:
- Novosibirsk State University
- M.K. Ammosov North-Eastern Federal University
- Шығарылым: Том 230, № 1 (2018)
- Беттер: 36-45
- Бөлім: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240601
- DOI: https://doi.org/10.1007/s10958-018-3724-1
- ID: 240601
Дәйексөз келтіру
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.
Авторлар туралы
F. Fedorov
Novosibirsk State University; M.K. Ammosov North-Eastern Federal University
Хат алмасуға жауапты Автор.
Email: foma_46@mail.ru
Ресей, 1, Pirogova St., Novosibirsk, 630090; 48, Kulakovskogo St., Yakutsk, 677891
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