Sufficient Condition for Consistency of Infinite Systems

F. M. Fedorov

doi:10.1007/s10958-018-3724-1

Sufficient Condition for Consistency of Infinite Systems

F. M. Fedorov

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	36-45
Number of pages	10
Journal	Journal of Mathematical Sciences (United States)
Volume	230
Issue number	1
DOIs	https://doi.org/10.1007/s10958-018-3724-1
Publication status	Published - 1 Apr 2018
Externally published	Yes

OECD FOS+WOS

1.01 MATHEMATICS

State classification of scientific and technological information

27 MATHEMATICS

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10.1007/s10958-018-3724-1

Cite this

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title = "Sufficient Condition for Consistency of Infinite Systems",

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.",

author = "Fedorov, {F. M.}",

note = "Funding Information: The work is supported by the Ministry of Education and Science of the Russian Federation (project No. 3047) Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

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AB - 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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Sufficient Condition for Consistency of Infinite Systems

Abstract

OECD FOS+WOS

State classification of scientific and technological information

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