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A Fast Algorithm for Partial Fraction Decompositions

Guoce Xin

math.COarXiv:math/0408189

Abstract

We obtain two new algorithms for partial fraction decompositions; the first is over algebraically closed fields, and the second is over general fields. These algorithms takes O(M2) time, where M is the degree of the denominator of the rational function. The new algorithms use less storage space, and are suitable for parallel programming. We also discuss full partial fraction decompositions.

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