Solution of linear equations with rational Toeplitz matrices

Dickinson, Bradley W.

doi:10.1090/S0025-5718-1980-0551300-1

Solution of linear equations with rational Toeplitz matrices
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by Bradley W. Dickinson PDF

Math. Comp. 34 (1980), 227-233 Request permission

Abstract:

We associate a sequence of Toeplitz matrices with the rational formal power series $T(z)$. An algorithm for solving linear equations with a Toeplitz matrix from this sequence is given. The algorithm requires $O(n)$ operations to solve a set of n equations, for n sufficiently large.

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