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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.

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Authors and Affiliations

  1. Novosibirsk State University, 1, Pirogova St., Novosibirsk, 630090, Russia

    F. M. Fedorov

  2. M.K. Ammosov North-Eastern Federal University, 48, Kulakovskogo St., Yakutsk, 677891, Russia

    F. M. Fedorov

Authors
  1. F. M. Fedorov
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Correspondence to F. M. Fedorov.

Additional information

Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 3, 2016, pp. 85-97.

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Fedorov, F.M. Sufficient Condition for Consistency of Infinite Systems. J Math Sci 230, 36–45 (2018). https://doi.org/10.1007/s10958-018-3724-1

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  • DOI: https://doi.org/10.1007/s10958-018-3724-1

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