Calculo exacto de la matriz exponencial

Authors

Keywords:

Exponential matrix, diagonalizable matrix, Jordan canonical form, Schur's triangularization, functions of matrices, Lagrange-Sylvester interpolation, Putzer's spectral formula, Laplace transform

Abstract

We present several methods that allow the exact computation of the exponential matrix etA. Methods that include computation of eigenvectors or Laplace transform are very well-known, and they are mentioned herefor completeness. We also present other methods, not well-known inthe literature, that do not need the computation of eigenvectors, and are easy to introduce in a classroom, thus providing us with general formulas that can be applied to any matrix.

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Author Biography

  • Rubén Agapito, Pontifical Catholic University of Peru
    Sección Matemáticas
    Departamento de Ciencias
    Pontificia Universidad Católica del Perú

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Published

2014-12-02

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Artículos