Sufficient Condition for Consistency of Infinite Systems
- 作者: Fedorov F.M.1,2
-
隶属关系:
- Novosibirsk State University
- M.K. Ammosov North-Eastern Federal University
- 期: 卷 230, 编号 1 (2018)
- 页面: 36-45
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240601
- DOI: https://doi.org/10.1007/s10958-018-3724-1
- ID: 240601
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详细
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.
作者简介
F. Fedorov
Novosibirsk State University; M.K. Ammosov North-Eastern Federal University
编辑信件的主要联系方式.
Email: foma_46@mail.ru
俄罗斯联邦, 1, Pirogova St., Novosibirsk, 630090; 48, Kulakovskogo St., Yakutsk, 677891
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