Error-free solution to a Toeplitz system of equations

A numerical method which allows error-free computation of the solution to a Toeplitz system of equations is developed. The method requires that the system of equations have rational entries. To avoid error that is inherent in floating-point arithmetic, multiple-modulus residue arithmetic is applied to a modified version of the Levinson algorithm and to an algorithm presented by S.Y. Kung and Y.H. Hu (1983). The error-free method has a highly parallel structure and can be implemented with existing software and hardware. The exact method presented here serves as an outline for the general approach to the development of error-free solution methods