Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n
This article presents nine different methods of orthogonal projection onto a hyperspace defined by points. These methods have been implemented in MATLAB language. Comparisons have been made of numerical precision and cpu times, taking one of them as a reference. It has placed special...
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| Formaat: | article |
| Taal: | Spaans |
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2015
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| Online toegang: | http://revistas.um.edu.uy/index.php/ingenieria/article/view/340 |
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| _version_ | 1868890083021553664 |
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| author | Flaquer, Juan |
| author_browse | Flaquer, Juan |
| author_facet | Flaquer, Juan |
| author_role | author |
| collection | REDUM |
| dc.creator.none.fl_str_mv | Flaquer, Juan |
| dc.date.none.fl_str_mv | 2015-11-02 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://revistas.um.edu.uy/index.php/ingenieria/article/view/340 |
| dc.language.none.fl_str_mv | spa |
| dc.publisher.none.fl_str_mv | Universidad de Montevideo |
| dc.relation.none.fl_str_mv | http://revistas.um.edu.uy/index.php/ingenieria/article/view/340/410 |
| dc.rights.none.fl_str_mv | Derechos de autor 2019 Juan Flaquer http://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess Atribución 4.0 Internacional |
| dc.source.none.fl_str_mv | Memoria Investigaciones en Ingeniería; No. 13 (2015); 33-48 Memoria Investigaciones en Ingeniería; Núm. 13 (2015); 33-48 Memoria Investigaciones en Ingenieria; n. 13 (2015); 33-48 2301-1106 2301-1092 reponame:REDUM instname:Universidad de Montevideo instacron:Universidad de Montevideo |
| dc.subject.none.fl_str_mv | Proyecciones ortogonales Hiperespacios Métodos Numéricos MATLAB Orthogonal projections Hyperspace Numerical Methods MATLAB |
| dc.title.none.fl_str_mv | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n Diferentes métodos para la obtención de la proyección ortogonal sobre un hiperplano definido por n puntos en un espacio euclídeo de dimensión n |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer reviewed articles Artículos evaluados por pares Artigos revistos por pares publishedVersion info:eu-repo/semantics/publishedVersion |
| description | This article presents nine different methods of orthogonal projection onto a hyperspace defined by points. These methods have been implemented in MATLAB language. Comparisons have been made of numerical precision and cpu times, taking one of them as a reference. It has placed special emphasis on an inversion’s method with comments to its potential and some demonstrations that justify the intermediate steps used. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | anni_67caa529a95df87537b686a23191389c |
| instacron_str | Universidad de Montevideo |
| institution | Universidad de Montevideo |
| instname_str | Universidad de Montevideo |
| language | spa |
| network_acronym_str | anni |
| network_name_str | oai-lr-anni |
| oai_identifier_str | oai:redum.um.edu.uy:20.500.12806/2495 |
| publishDate | 2015 |
| publishDateSort | 2015 |
| publisher.none.fl_str_mv | Universidad de Montevideo |
| reponame_str | REDUM |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | Derechos de autor 2019 Juan Flaquer http://creativecommons.org/licenses/by/4.0 Atribución 4.0 Internacional |
| spelling | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension nDiferentes métodos para la obtención de la proyección ortogonal sobre un hiperplano definido por n puntos en un espacio euclídeo de dimensión nFlaquer, JuanProyecciones ortogonalesHiperespaciosMétodos NuméricosMATLABOrthogonal projectionsHyperspaceNumerical MethodsMATLABThis article presents nine different methods of orthogonal projection onto a hyperspace defined by points. These methods have been implemented in MATLAB language. Comparisons have been made of numerical precision and cpu times, taking one of them as a reference. It has placed special emphasis on an inversion’s method with comments to its potential and some demonstrations that justify the intermediate steps used.El presente artículo plantea nueve diferentes métodos de proyección ortogonal sobre un hiperespacio definido por puntos. Los métodos presentados se han implementado en el lenguaje MATLAB. Se han hecho comparaciones de tiempo y de precisión numérica tomando uno de ellos de referencia. Se ha puesto énfasis especial en un método basado en la inversión, comentando sus posibilidades y aportando demostraciones que justifican los pasos intermedios.Universidad de Montevideo2015-11-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionPeer reviewed articlesArtículos evaluados por paresArtigos revistos por parespublishedVersioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://revistas.um.edu.uy/index.php/ingenieria/article/view/340Memoria Investigaciones en Ingeniería; No. 13 (2015); 33-48Memoria Investigaciones en Ingeniería; Núm. 13 (2015); 33-48Memoria Investigaciones en Ingenieria; n. 13 (2015); 33-482301-11062301-1092reponame:REDUMinstname:Universidad de Montevideoinstacron:Universidad de Montevideospahttp://revistas.um.edu.uy/index.php/ingenieria/article/view/340/410Derechos de autor 2019 Juan Flaquerhttp://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessAtribución 4.0 Internacionaloai:redum.um.edu.uy:20.500.12806/24952026-06-16T07:04:26Z |
| spellingShingle | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n Flaquer, Juan Proyecciones ortogonales Hiperespacios Métodos Numéricos MATLAB Orthogonal projections Hyperspace Numerical Methods MATLAB |
| status_str | publishedVersion |
| title | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n |
| title_full | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n |
| title_fullStr | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n |
| title_full_unstemmed | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n |
| title_short | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n |
| title_sort | Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n |
| topic | Proyecciones ortogonales Hiperespacios Métodos Numéricos MATLAB Orthogonal projections Hyperspace Numerical Methods MATLAB |
| url | http://revistas.um.edu.uy/index.php/ingenieria/article/view/340 |