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A new approach to the concept of linearity. Some elements for a multiplicative linear algebra
| dc.contributor.author | Córdova-Lepe, Fernando | |
| dc.contributor.author | Del Valle-Salamanca, Rodrigo | |
| dc.contributor.author | Vilches-Ponce, Karina | |
| dc.date.accessioned | 2023-05-02T19:07:53Z | |
| dc.date.available | 2023-05-02T19:07:53Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/4738 | |
| dc.description.abstract | An arithmetic based on the multiplication is the base of the Bigeometric (and Multiplicative) Calculus, a type of non-Newtonian Calculus which has had uses in the digital processing of images. In this work, we present the fundamental elements to construct a proposal of Multiplicative Linear Algebra with view of being a support for a Multiplicative Calculus in Several Variables and its applications. Some important concepts such as vector space, linear transformation and matrix representation are reviewed. In particular, we give a meaning and context to the operation: matrix raised to matrix. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | International Journal of Computer Mathematics, 97(1-2), 109-119 | es_CL |
| dc.subject | Non-newtonian calculus | es_CL |
| dc.subject | Linearity | es_CL |
| dc.subject | Matrices exponentiation | es_CL |
| dc.subject | Multiplicative linear algebra | es_CL |
| dc.subject | Multiplicative linear transformations | es_CL |
| dc.title | A new approach to the concept of linearity. Some elements for a multiplicative linear algebra | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.indexacion | Isi | es_CL |
| dc.ucm.uri | www.tandfonline.com/doi/abs/10.1080/00207160.2018.1437265 | es_CL |
| dc.ucm.doi | doi.org/10.1080/00207160.2018.1437265 | es_CL |
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