Computing the sinP Function via the inverse power method.

Detalhes bibliográficos
Autor(a) principal: Biezuner, Rodney Josué
Data de Publicação: 2010
Outros Autores: Ercole, Grey, Martins, Eder Marinho
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFOP
Texto Completo: http://www.repositorio.ufop.br/handle/123456789/1969
Resumo: In this paper, we discuss a new iterative method for computing sinp. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the p-Laplacian. The iterative technique was inspired by the inverse power method in finite dimensional linear algebra and is competitive with other methods available in the literature.
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spelling Biezuner, Rodney JosuéErcole, GreyMartins, Eder Marinho2012-12-05T14:15:23Z2012-12-05T14:15:23Z2010BIEZUNER, R. J.; ERCOLE, G.; MARTINS, E. M. Computing the sinP Function via the inverse power method. Computational Methods in Applied Mathematics, v. 11, p. 129-140, 2011. Disponível em: <https://www.degruyter.com/view/j/cmam.2011.11.issue-2/cmam-2011-0007/cmam-2011-0007.xml>. Acesso em: 03 dez. 201216099389http://www.repositorio.ufop.br/handle/123456789/1969In this paper, we discuss a new iterative method for computing sinp. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the p-Laplacian. The iterative technique was inspired by the inverse power method in finite dimensional linear algebra and is competitive with other methods available in the literature.p-LaplacianEigenvaluesEigenfunctionsSinpInverse power methodComputing the sinP Function via the inverse power method.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleO periódico Computational Methods in Applied Mathematics permite o depósito da versão PDF do editor em Repositório Institucional. Fonte: Sherpa/Romeo <http://www.sherpa.ac.uk/romeo/search.php?issn=1609-4840>. Acesso em: 11 mar. 2014.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://www.repositorio.ufop.br/bitstream/123456789/1969/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALARTIGO_ComputingSinpFunction.pdfARTIGO_ComputingSinpFunction.pdfapplication/pdf144465http://www.repositorio.ufop.br/bitstream/123456789/1969/1/ARTIGO_ComputingSinpFunction.pdf8c6f3201f7a714054aa57a55aabe6625MD51123456789/19692019-03-15 12:59:16.389oai:localhost: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Repositório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332019-03-15T16:59:16Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false
dc.title.pt_BR.fl_str_mv Computing the sinP Function via the inverse power method.
title Computing the sinP Function via the inverse power method.
spellingShingle Computing the sinP Function via the inverse power method.
Biezuner, Rodney Josué
p-Laplacian
Eigenvalues
Eigenfunctions
Sinp
Inverse power method
title_short Computing the sinP Function via the inverse power method.
title_full Computing the sinP Function via the inverse power method.
title_fullStr Computing the sinP Function via the inverse power method.
title_full_unstemmed Computing the sinP Function via the inverse power method.
title_sort Computing the sinP Function via the inverse power method.
author Biezuner, Rodney Josué
author_facet Biezuner, Rodney Josué
Ercole, Grey
Martins, Eder Marinho
author_role author
author2 Ercole, Grey
Martins, Eder Marinho
author2_role author
author
dc.contributor.author.fl_str_mv Biezuner, Rodney Josué
Ercole, Grey
Martins, Eder Marinho
dc.subject.por.fl_str_mv p-Laplacian
Eigenvalues
Eigenfunctions
Sinp
Inverse power method
topic p-Laplacian
Eigenvalues
Eigenfunctions
Sinp
Inverse power method
description In this paper, we discuss a new iterative method for computing sinp. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the p-Laplacian. The iterative technique was inspired by the inverse power method in finite dimensional linear algebra and is competitive with other methods available in the literature.
publishDate 2010
dc.date.issued.fl_str_mv 2010
dc.date.accessioned.fl_str_mv 2012-12-05T14:15:23Z
dc.date.available.fl_str_mv 2012-12-05T14:15:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.citation.fl_str_mv BIEZUNER, R. J.; ERCOLE, G.; MARTINS, E. M. Computing the sinP Function via the inverse power method. Computational Methods in Applied Mathematics, v. 11, p. 129-140, 2011. Disponível em: <https://www.degruyter.com/view/j/cmam.2011.11.issue-2/cmam-2011-0007/cmam-2011-0007.xml>. Acesso em: 03 dez. 2012
dc.identifier.uri.fl_str_mv http://www.repositorio.ufop.br/handle/123456789/1969
dc.identifier.issn.none.fl_str_mv 16099389
identifier_str_mv BIEZUNER, R. J.; ERCOLE, G.; MARTINS, E. M. Computing the sinP Function via the inverse power method. Computational Methods in Applied Mathematics, v. 11, p. 129-140, 2011. Disponível em: <https://www.degruyter.com/view/j/cmam.2011.11.issue-2/cmam-2011-0007/cmam-2011-0007.xml>. Acesso em: 03 dez. 2012
16099389
url http://www.repositorio.ufop.br/handle/123456789/1969
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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instname:Universidade Federal de Ouro Preto (UFOP)
instacron:UFOP
instname_str Universidade Federal de Ouro Preto (UFOP)
instacron_str UFOP
institution UFOP
reponame_str Repositório Institucional da UFOP
collection Repositório Institucional da UFOP
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http://www.repositorio.ufop.br/bitstream/123456789/1969/1/ARTIGO_ComputingSinpFunction.pdf
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