title: Separation of the roots of the systems of nonlinear equations. Stochastic approach
metadata.name: dc.contributor.author
metadata.value: Ermakov, Sergei M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Leora, Svetlana N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-18T21:44:47Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-18T21:44:47Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ermakov S.M., Leora S.N. Separation of the roots of the systems of nonlinear equations. Stochastic approach. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 226–235. https://doi.org/10.21638/spbu01.2023.204 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.204
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41480
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The work is devoted to the actual problem of separating the roots of nonlinear systems of
  equations in the case of many variables. The well-known method of reducing the problem
  of solving the system to an equivalent extremal problem, which is supposed to be solved by
  one of the methods of stochastic optimization. The annealing simulation modeling method
  and its modification are chosen, which are especially interesting in that they allow efficient
  implementation on quantum computers. Since quantum ccomputers based on simulated
  annealing demonstrate quantum superiority, the results obtained can be useful in solving
  systems of equations on these computing systems.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This paper was supported by Saint Petersburg State University, project ID: 93024916.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: absolute extremum
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: simulated annealing
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: systems of equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: root separation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: quantum computing
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Separation of the roots of the systems of nonlinear equations. Stochastic approach
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 226-235.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41480/1/226-235.pdf
resources.format: Adobe PDF
resources.size: 948,14 kB