Exact analytical formulations for the of symmetric circulant tridiagonal matrices

Seyedmostafa Janbehsarayi, Saman Tavana, Nikkhah Bahrami
unpublished
This study presents a time efficient, exact analytical approach for finding the inverse, decomposition, and solving linear systems of equations where symmetric and symmetric circulant matrices appear is presented. A set of matrices are introduced that any symmetric circulant matrix could be decomposed into them as well as their straightforward inverse. After that, it will be shown how they could be used to find the inverse of the matrix. Moreover, solving related linear equations can be carried
more » ... out using implemented decomposition for these special, prevalent matrices.
fatcat:fyux75qkojfsdovijqwtvhpuna