Eigen-concepts in the multiplicative linear algebra context
DOI:
https://doi.org/10.17268/sel.mat.2025.01.12Keywords:
Linearity concept, multiplicative linear algebra, multiplicative linear mapsAbstract
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.
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