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...Computers m th applic vol no pp printed in great britain all rights reserved copyright pergamon press ltd parametrization of newton s iteration for computations with structured matrices and applications victor pan department computer science columbia university new york ny u a mathematics lehman college cuny bronx sunya albany received december revi ed arm june abstract we apply parametrized version order to compute over any field f constants the solution or least squares linear system bx v an n toeplitz ike matrix b as well determinant coefficients its characteristic polynomial det l dran tically improving processor efficiency known fast parallel algorithms our together some previously recent results techniques computing gcd lcm imply respective improvement estimates arithmetic complexity several fundamental polynomials both general introduction are defined entries invariant their shifts diagonal direc tion more class like including products inverses resultant subresultant pair is by ...