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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 1, Pages 100–109
DOI: https://doi.org/10.33048/semi.2023.20.009 (Mi semr1573) 		 
Mathematical logic, algebra and number theory

Generic polynomial algorithms for the knapsack problem in some matrix semigroups

A. N. Rybalov

Sobolev Institute of Mathematics, prospekt Koptyuga 4, Novosibirsk, 630090, Russia. Pevtsova 13, Omsk, 644099, Russia
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DOI: https://doi.org/10.33048/semi.2023.20.009
Abstract: In this paper, we propose generic polynomial algorithms for the knapsack problems over semigroups of non-negative integer matrices of arbitrary order and semigroup of non-negative second-order integer matrices with determinant 1.
Keywords: generic complexity, knapsack problems, integer matrices.
Funding agency Grant number
Russian Science Foundation 22-11-20019
Received July 5, 2022, published February 19, 2023
Document Type: Article
UDC: 510.652
MSC: 11U99
Language: Russian
Citation: A. N. Rybalov, “Generic polynomial algorithms for the knapsack problem in some matrix semigroups”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 100–109
Citation in format AMSBIB
\Bibitem{Ryb23}
\by A.~N.~Rybalov
\paper Generic polynomial algorithms for the knapsack problem in some matrix semigroups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 1
\pages 100--109
\mathnet{http://mi.mathnet.ru/semr1573}
\crossref{https://doi.org/10.33048/semi.2023.20.009}
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