Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 15 Jul 2017 My Price 5.00

Divide-and-conquer multiplication

Divide-and-conquer multiplication

1. Show how to multiply two linear polynomials ax + b and cx + d using only three multiplications. (Hint: One of the multiplications is (a + b) · (c + d).)

2. Give two divide-and-conquer algorithms for multiplying two polynomials of degreebound n that run in time Θ(nlg 3). The first algorithm should divide the input polynomial coefficients into a high half and a low half, and the second algorithm should divide them according to whether their index is odd or even.

Show that two n-bit integers can be multiplied in O(nlg 3) steps, where each step operates on at most a constant number of 1-bit values.

Answers

Maurice Tutor
(5)
Status NEW Posted 15 Jul 2017 08:07 PM My Price 5.00

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