Displacement Structure in Computing Approximate Gcd of Univariate Polynomials
نویسنده
چکیده
We propose a fast algorithm for computing approximate GCD of univariate polynomials with coefficients that are given only to a finite accuracy. The algorithm is based on a stabilized version of the generalized Schur algorithm for Sylvester matrix and its embedding. All computations can be done in O(n2) operations, where n is the sum of the degrees of polynomials. The stability of the algorithm is also discussed.
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