Email this article Sufficient Condition for Consistency of Infinite Systems
- Authors: Fedorov F.M.1,2
-
Affiliations:
- Novosibirsk State University
- M.K. Ammosov North-Eastern Federal University
- Issue: Vol 230, No 1 (2018)
- Pages: 36-45
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240601
- DOI: https://doi.org/10.1007/s10958-018-3724-1
- ID: 240601
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Abstract
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.
About the authors
F. M. Fedorov
Novosibirsk State University; M.K. Ammosov North-Eastern Federal University
Author for correspondence.
Email: foma_46@mail.ru
Russian Federation, 1, Pirogova St., Novosibirsk, 630090; 48, Kulakovskogo St., Yakutsk, 677891
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