Explicit inverse of tridiagonal matrix with applications in autoregressive modelling

@inproceedings{Tan2018ExplicitIO,
  title={Explicit inverse of tridiagonal matrix with applications in autoregressive modelling},
  author={Linda S. L. Tan},
  year={2018}
}
We present the explicit inverse of a class of symmetric tridiagonal matrices which is almost Toeplitz, except that the first and last diagonal elements are different from the rest. This class of tridiagonal matrices are of special interest in complex statistical models which uses the first order autoregression to induce dependence in the covariance structure, for instance, in econometrics or spatial modeling. They also arise in interpolation problems using the cubic spline. We show that the… CONTINUE READING

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