Exponential Matrices and their relationship with the Vandermonde source matrices

Authors

  • Jesús Cernades Gómez Escuela Profesional de Matemática. Facultad de Ciencias. Universidad Nacional de Ingeniería
  • William Carlos Echegaray Castillo Escuela Profesional de Matemática. Facultad de Ciencias. Universidad Nacional de Ingeniería

Keywords:

Matrix exponential , Vandermonde matrix

Abstract

Let a matrix be A2C(n;n) and we want to calculate its exponential matrix etA knowing only the eigenvalues ​​of A, it is not necessary to know the respective eigenvectors. The approach presented is the relationship between the exponential matrix with the matrices with Vandermon deV sources. This approach and the resulting methods are very simple and can be considered as an alternative to using Jordan's canonical form. The analysis of the algorithms for inversion of the matrix V, as well as the matrix representation of V1, are of independent interest in many other applications.

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References

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Published

2021-06-18

How to Cite

Cernades Gómez, J., & Echegaray Castillo, W. C. (2021). Exponential Matrices and their relationship with the Vandermonde source matrices. Journal of the Science Faculty @ UNI, 17(1), 42–49. Retrieved from https://revistas.uni.edu.pe/index.php/revciuni/article/view/956

Issue

Vol. 17 No. 1 (2014)

Section

Artículos

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