dc.creatorCórdova-Lepe, Fernando
dc.creatorDel Valle-Salamanca, Rodrigo
dc.creatorVilches-Ponce, Karina
dc.date2023-05-02T19:07:53Z
dc.date2023-05-02T19:07:53Z
dc.date2020
dc.date.accessioned2024-05-02T20:31:09Z
dc.date.available2024-05-02T20:31:09Z
dc.identifierhttp://repositorio.ucm.cl/handle/ucm/4738
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9274976
dc.descriptionAn 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.
dc.languageen
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.sourceInternational Journal of Computer Mathematics, 97(1-2), 109-119
dc.subjectNon-newtonian calculus
dc.subjectLinearity
dc.subjectMatrices exponentiation
dc.subjectMultiplicative linear algebra
dc.subjectMultiplicative linear transformations
dc.titleA new approach to the concept of linearity. Some elements for a multiplicative linear algebra
dc.typeArticle


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