Year: 2025
Type: article
Abstract: 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.
Source: Selecciones Matemáticas
Authors: Facultad de Ciencias Básicas, Departamento de Matemática, Física y Estadística, Universidad Católica del Maule, Talca, Chile., Fernando Córdova-Lepe, Franco Lara-Muñoz, Doctorado en Modelamiento Matemático Aplicado, Universidad Católica del Maule, Talca, Chile., Ranghely Hernández-Castañeda, Doctorado en Modelamiento Matemático Aplicado, Universidad Católica del Maule, Talca, Chile., Rodrigo Gutiérrez, Facultad de Ciencias Básicas, Departamento de Matemática, Física y Estadística, Universidad Católica del Maule, Talca, Chile.
Institution: Catholic University of the Maule
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412771804