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Reports (Research Report) Year : 2002

The Middle Product Algorithm, I.


We present new algorithms for the inverse, division, and square root of power series. The key trick is a new algorithm --- MiddleProduct or, for short, MP --- computing the n middle coefficients of a (2n-1)*n full product in the same number of multiplications as a full n*n product. This improves previous work of Brent, Mulders, Karp and Markstein, Burnikel and Ziegler. A forthcoming paper will study the floating-point case.


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inria-00071921 , version 1 (23-05-2006)


  • HAL Id : inria-00071921 , version 1


Guillaume Hanrot, Michel Quercia, Paul Zimmermann. The Middle Product Algorithm, I.. [Research Report] RR-4664, INRIA. 2002. ⟨inria-00071921⟩
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