The Computation of Powers of Symbolic Polynomials

Ellis Horowitz, Sartaj K. Sahni · SIAM Journal on Computing · 1975

Recent results on the computation of powers of symbolic polynomials are reviewed in perspective. Then a new algorithm is given which computes the nth power of a completely sparse polynomial using a linear number of multiplications. This is followed by experimental results comparing the new algorithm to iteration using both completely sparse and completely dense polynomials as data.

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