Eigen-concepts in the multiplicative linear algebra context
Descripción del Articulo
The concept of eigenvalues is associated with the linearity one, through the structure of vectorial space. The multiplicative linear algebra is a structure in which an expression such as x^3y^2 can be considered a linear combination of variables x and y. This article is reserved to show the correspo...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de Publicación: | 2025 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | inglés |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/6630 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6630 |
| Nivel de acceso: | acceso abierto |
| Materia: | Linearity concept multiplicative linear algebra multiplicative linear maps Concepto de linealidad álgebra lineal multiplicativa aplicaciones lineales multiplicativas |
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Eigen-concepts in the multiplicative linear algebra context Autoconceptos en el contexto del álgebra lineal multiplicativaEigen-concepts in the multiplicative linear algebra context Córdova-Lepe, FernandoLara-Muñoz, FrancoHernández-Castañeda, RanghelyGutiérrez, RodrigoLinearity conceptmultiplicative linear algebramultiplicative linear mapsConcepto de linealidadálgebra lineal multiplicativaaplicaciones lineales multiplicativasLinearity conceptmultiplicative linear algebramultiplicative linear mapsThe concept of eigenvalues is associated with the linearity one, through the structure of vectorial space. The multiplicative linear algebra is a structure in which an expression such as x^3y^2 can be considered a linear combination of variables x and y. This article is reserved to show the corresponding analogues for an Eigenvalue Theory. We exemplify its applications by introducing a connection with the analysis of a nonlinear dynamical system in the standard sense, although a linear recurrence in the multiplicative one.El concepto de valores propios está asociado al de linealidad, a través de la estructura del espacio vectorial. El álgebra lineal multiplicativa es una estructura en la que una expresión como x^3y^2 puede ser considerada una combinación lineal de las variables x y y. Este artículo está destinado a mostrar los análogos correspondientes para una teoría de valores propios en este contexto. Se ejemplifican sus aplicaciones mediante la introducción de una conexión con el análisis de un sistema dinámico no lineal en el sentido estándar, aunque con una recurrencia lineal en el marco multiplicativo.The concept of eigenvalues is associated with the linearity one, through the structure of vectorial space. The multiplicative linear algebra is a structure in which an expression such as x^3y^2 can be considered a linear combination of variables x and y. This article is reserved to show the corresponding analogues for an Eigenvalue Theory. We exemplify its applications by introducing a connection with the analysis of a nonlinear dynamical system in the standard sense, although a linear recurrence in the multiplicative one.National University of Trujillo - Academic Department of Mathematics2025-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6630Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 142 - 154Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 142 - 154Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 142 - 1542411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6630/6863https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/66302025-07-26T15:43:48Z |
| dc.title.none.fl_str_mv |
Eigen-concepts in the multiplicative linear algebra context Autoconceptos en el contexto del álgebra lineal multiplicativa Eigen-concepts in the multiplicative linear algebra context |
| title |
Eigen-concepts in the multiplicative linear algebra context |
| spellingShingle |
Eigen-concepts in the multiplicative linear algebra context Córdova-Lepe, Fernando Linearity concept multiplicative linear algebra multiplicative linear maps Concepto de linealidad álgebra lineal multiplicativa aplicaciones lineales multiplicativas Linearity concept multiplicative linear algebra multiplicative linear maps |
| title_short |
Eigen-concepts in the multiplicative linear algebra context |
| title_full |
Eigen-concepts in the multiplicative linear algebra context |
| title_fullStr |
Eigen-concepts in the multiplicative linear algebra context |
| title_full_unstemmed |
Eigen-concepts in the multiplicative linear algebra context |
| title_sort |
Eigen-concepts in the multiplicative linear algebra context |
| dc.creator.none.fl_str_mv |
Córdova-Lepe, Fernando Lara-Muñoz, Franco Hernández-Castañeda, Ranghely Gutiérrez, Rodrigo |
| author |
Córdova-Lepe, Fernando |
| author_facet |
Córdova-Lepe, Fernando Lara-Muñoz, Franco Hernández-Castañeda, Ranghely Gutiérrez, Rodrigo |
| author_role |
author |
| author2 |
Lara-Muñoz, Franco Hernández-Castañeda, Ranghely Gutiérrez, Rodrigo |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Linearity concept multiplicative linear algebra multiplicative linear maps Concepto de linealidad álgebra lineal multiplicativa aplicaciones lineales multiplicativas Linearity concept multiplicative linear algebra multiplicative linear maps |
| topic |
Linearity concept multiplicative linear algebra multiplicative linear maps Concepto de linealidad álgebra lineal multiplicativa aplicaciones lineales multiplicativas Linearity concept multiplicative linear algebra multiplicative linear maps |
| description |
The concept of eigenvalues is associated with the linearity one, through the structure of vectorial space. The multiplicative linear algebra is a structure in which an expression such as x^3y^2 can be considered a linear combination of variables x and y. This article is reserved to show the corresponding analogues for an Eigenvalue Theory. We exemplify its applications by introducing a connection with the analysis of a nonlinear dynamical system in the standard sense, although a linear recurrence in the multiplicative one. |
| publishDate |
2025 |
| dc.date.none.fl_str_mv |
2025-07-26 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6630 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6630 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6630/6863 |
| dc.rights.none.fl_str_mv |
https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
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https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 142 - 154 Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 142 - 154 Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 142 - 154 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
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Universidad Nacional de Trujillo |
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UNITRU |
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UNITRU |
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Revistas - Universidad Nacional de Trujillo |
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Revistas - Universidad Nacional de Trujillo |
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1847155319718805504 |
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13.42111 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
