A direct approach to second-order matrix non-classical vibrating equations

Detalhes bibliográficos
Autor(a) principal: Claeyssen, Julio Cesar Ruiz
Data de Publicação: 1998
Outros Autores: Canahualpa Suazo, German Ramon, Jung, Claudio Rosito
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/174877
Resumo: A direct framework is developed for secoud-order matrix equations without transforming it into a first-order companion equatiou. lt is done in terms of its matrix impulse response that is directly related to the t ransfer matrix. Wc formulate an extension of the Cayley-Hamilton identity, derive t he controllability and observabili ty matrices and discuss Krylov's method in terms of such matrix response. This formulation will allow to furth er discuss Arnoldi and Lanczos methods as well as time-integratiou by FFT 2
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spelling Claeyssen, Julio Cesar RuizCanahualpa Suazo, German RamonJung, Claudio Rosito2018-04-20T02:30:39Z1998http://hdl.handle.net/10183/174877001064691A direct framework is developed for secoud-order matrix equations without transforming it into a first-order companion equatiou. lt is done in terms of its matrix impulse response that is directly related to the t ransfer matrix. Wc formulate an extension of the Cayley-Hamilton identity, derive t he controllability and observabili ty matrices and discuss Krylov's method in terms of such matrix response. This formulation will allow to furth er discuss Arnoldi and Lanczos methods as well as time-integratiou by FFT 2application/pdfengCadernos de matemática e estatística. Série A, Trabalho de pesquisa. Porto Alegre. N. 51 (mar. 1998), 17 p.EquaçõesMatrizes de segunda ordemA direct approach to second-order matrix non-classical vibrating equationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/otherinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL001064691.pdf001064691.pdfTexto completo (inglês)application/pdf1867559http://www.lume.ufrgs.br/bitstream/10183/174877/1/001064691.pdf12ada151258319be060ad871822e3a3dMD51TEXT001064691.pdf.txt001064691.pdf.txtExtracted Texttext/plain23641http://www.lume.ufrgs.br/bitstream/10183/174877/2/001064691.pdf.txt00057b3cfefc6dbd6054c78530df836eMD5210183/1748772021-05-07 05:01:37.40372oai:www.lume.ufrgs.br:10183/174877Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2021-05-07T08:01:37Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv A direct approach to second-order matrix non-classical vibrating equations
title A direct approach to second-order matrix non-classical vibrating equations
spellingShingle A direct approach to second-order matrix non-classical vibrating equations
Claeyssen, Julio Cesar Ruiz
Equações
Matrizes de segunda ordem
title_short A direct approach to second-order matrix non-classical vibrating equations
title_full A direct approach to second-order matrix non-classical vibrating equations
title_fullStr A direct approach to second-order matrix non-classical vibrating equations
title_full_unstemmed A direct approach to second-order matrix non-classical vibrating equations
title_sort A direct approach to second-order matrix non-classical vibrating equations
author Claeyssen, Julio Cesar Ruiz
author_facet Claeyssen, Julio Cesar Ruiz
Canahualpa Suazo, German Ramon
Jung, Claudio Rosito
author_role author
author2 Canahualpa Suazo, German Ramon
Jung, Claudio Rosito
author2_role author
author
dc.contributor.author.fl_str_mv Claeyssen, Julio Cesar Ruiz
Canahualpa Suazo, German Ramon
Jung, Claudio Rosito
dc.subject.por.fl_str_mv Equações
Matrizes de segunda ordem
topic Equações
Matrizes de segunda ordem
description A direct framework is developed for secoud-order matrix equations without transforming it into a first-order companion equatiou. lt is done in terms of its matrix impulse response that is directly related to the t ransfer matrix. Wc formulate an extension of the Cayley-Hamilton identity, derive t he controllability and observabili ty matrices and discuss Krylov's method in terms of such matrix response. This formulation will allow to furth er discuss Arnoldi and Lanczos methods as well as time-integratiou by FFT 2
publishDate 1998
dc.date.issued.fl_str_mv 1998
dc.date.accessioned.fl_str_mv 2018-04-20T02:30:39Z
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/174877
dc.identifier.nrb.pt_BR.fl_str_mv 001064691
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Cadernos de matemática e estatística. Série A, Trabalho de pesquisa. Porto Alegre. N. 51 (mar. 1998), 17 p.
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