title: Enhansing an estimate of the rate of the Seidel method convergence
metadata.name: dc.contributor.author
metadata.value: Borzykh, Alexey N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T10:51:17Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T10:51:17Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Borzykh A.N. Enhansing an estimate of the rate of the Seidel method convergence. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 185–195.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.201
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15551
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article discusses the Seidel method for solving a system of linear algebraic equations and an estimate of the rate of the Seidel method convergence. It is proposed to construct an equivalent system for which the Seidel method also converges, but the rate of convergence is better. An equivalent system is constructed by a separate iterative process, where each single step requires O(n) operations. Stability of this iterative process is proved. Results of numerical experiments are presented showing an improvement of the estimate of the rate of convergence.
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 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Seidel method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: one-step cyclic process
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: SLAE
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: system of linear algebraic equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: iterative solution methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Seidel method convergence, estimate of the rate of the Seidel method convergence
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Enhansing an estimate of the rate of the Seidel method convergence
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 185-195.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15551/1/185-195.pdf
resources.format: Adobe PDF
resources.size: 1,35 MB