Standard

Sufficient Condition for Consistency of Infinite Systems. / Fedorov, F. M.

In: Journal of Mathematical Sciences (United States), Vol. 230, No. 1, 01.04.2018, p. 36-45.

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

Harvard

Fedorov, FM 2018, 'Sufficient Condition for Consistency of Infinite Systems', Journal of Mathematical Sciences (United States), vol. 230, no. 1, pp. 36-45. https://doi.org/10.1007/s10958-018-3724-1

APA

Fedorov, F. M. (2018). Sufficient Condition for Consistency of Infinite Systems. Journal of Mathematical Sciences (United States), 230(1), 36-45. https://doi.org/10.1007/s10958-018-3724-1

Vancouver

Fedorov FM. Sufficient Condition for Consistency of Infinite Systems. Journal of Mathematical Sciences (United States). 2018 Apr 1;230(1):36-45. doi: 10.1007/s10958-018-3724-1

Author

Fedorov, F. M. / Sufficient Condition for Consistency of Infinite Systems. In: Journal of Mathematical Sciences (United States). 2018 ; Vol. 230, No. 1. pp. 36-45.

BibTeX

@article{c1471b5a010e49dfb5bcc320fde7c760,
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.",
year = "2018",
month = apr,
day = "1",
doi = "10.1007/s10958-018-3724-1",
language = "English",
volume = "230",
pages = "36--45",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Sufficient Condition for Consistency of Infinite Systems

AU - Fedorov, F. M.

N1 - Funding Information: The work is supported by the Ministry of Education and Science of the Russian Federation (project No. 3047) Publisher Copyright: © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85042540767&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=35501889

U2 - 10.1007/s10958-018-3724-1

DO - 10.1007/s10958-018-3724-1

M3 - Article

AN - SCOPUS:85042540767

VL - 230

SP - 36

EP - 45

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 1

ER -

ID: 41272959