Sufficient Condition for Consistency of Infinite Systems


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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

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Email: foma_46@mail.ru
俄罗斯联邦, 1, Pirogova St., Novosibirsk, 630090; 48, Kulakovskogo St., Yakutsk, 677891

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