Some Results on Vandermonde Matrices with an Application to Time Series Analysis

  title={Some Results on Vandermonde Matrices with an Application to Time Series Analysis},
  author={Andr{\'e} Klein and Peter Spreij},
  journal={SIAM J. Matrix Anal. Appl.},
  • A. KleinP. Spreij
  • Published 2003
  • Mathematics, Computer Science
  • SIAM J. Matrix Anal. Appl.
In this paper we study Stein equations in which the coefficient matrices are in companion form. Solutions to such equations are relatively easy to compute as soon as one knows how to invert a Vandermonde matrix (in the generic case where all eigenvalues have multiplicity one) or a confluent Vandermonde matrix (in the general case). As an application we present a way to compute the Fisher information matrix of an autoregressive moving average (ARMA) process. The computation is based on the fact… 

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