The Jacobian of the exponential function

Authors
Publication date 06-2021
Journal Journal of Economic Dynamics & Control
Article number 104122
Volume | Issue number 127
Number of pages 15
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Faculty of Science (FNWI)
Abstract We derive closed-form expressions for the Jacobian of the matrix exponential function for both diagonalizable and defective matrices. The results are applied to two cases of interest in macroeconometrics: a continuous-time macro model and the parameterization of rota- tion matrices governing impulse response functions in structural vector autoregressions.
Document type Article
Language English
Published at https://doi.org/10.1016/j.jedc.2021.104122
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