Numerical resolution of cone-constrained eigenvalue problems

Detalhes bibliográficos
Autor(a) principal: Pinto da Costa,A.
Data de Publicação: 2009
Outros Autores: Seeger,Alberto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100003
Resumo: Given a convex cone K and matrices A and B, one wishes to find a scalar λ and a nonzero vector x satisfying the complementarity system K ∋ x ⊥(Ax-λ Bx) ∈ K+. This problem arises in mechanics and in other areas of applied mathematics. Two numerical techniques for solving such kind of cone-constrained eigenvalue problem are discussed, namely, the Power Iteration Method and the Scaling and Projection Algorithm.
id SBMAC-2_1fff9a13ca67ab431e469b002b057d3a
oai_identifier_str oai:scielo:S1807-03022009000100003
network_acronym_str SBMAC-2
network_name_str Computational & Applied Mathematics
repository_id_str
spelling Numerical resolution of cone-constrained eigenvalue problemscomplementarity conditiongeneralized eigenvalue problempower iteration methodscalingprojection algorithmGiven a convex cone K and matrices A and B, one wishes to find a scalar λ and a nonzero vector x satisfying the complementarity system K ∋ x ⊥(Ax-λ Bx) ∈ K+. This problem arises in mechanics and in other areas of applied mathematics. Two numerical techniques for solving such kind of cone-constrained eigenvalue problem are discussed, namely, the Power Iteration Method and the Scaling and Projection Algorithm.Sociedade Brasileira de Matemática Aplicada e Computacional2009-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100003Computational & Applied Mathematics v.28 n.1 2009reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052009000100003info:eu-repo/semantics/openAccessPinto da Costa,A.Seeger,Albertoeng2009-03-30T00:00:00Zoai:scielo:S1807-03022009000100003Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2009-03-30T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Numerical resolution of cone-constrained eigenvalue problems
title Numerical resolution of cone-constrained eigenvalue problems
spellingShingle Numerical resolution of cone-constrained eigenvalue problems
Pinto da Costa,A.
complementarity condition
generalized eigenvalue problem
power iteration method
scaling
projection algorithm
title_short Numerical resolution of cone-constrained eigenvalue problems
title_full Numerical resolution of cone-constrained eigenvalue problems
title_fullStr Numerical resolution of cone-constrained eigenvalue problems
title_full_unstemmed Numerical resolution of cone-constrained eigenvalue problems
title_sort Numerical resolution of cone-constrained eigenvalue problems
author Pinto da Costa,A.
author_facet Pinto da Costa,A.
Seeger,Alberto
author_role author
author2 Seeger,Alberto
author2_role author
dc.contributor.author.fl_str_mv Pinto da Costa,A.
Seeger,Alberto
dc.subject.por.fl_str_mv complementarity condition
generalized eigenvalue problem
power iteration method
scaling
projection algorithm
topic complementarity condition
generalized eigenvalue problem
power iteration method
scaling
projection algorithm
description Given a convex cone K and matrices A and B, one wishes to find a scalar λ and a nonzero vector x satisfying the complementarity system K ∋ x ⊥(Ax-λ Bx) ∈ K+. This problem arises in mechanics and in other areas of applied mathematics. Two numerical techniques for solving such kind of cone-constrained eigenvalue problem are discussed, namely, the Power Iteration Method and the Scaling and Projection Algorithm.
publishDate 2009
dc.date.none.fl_str_mv 2009-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052009000100003
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.28 n.1 2009
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
_version_ 1754734890178314240

Registros relacionados