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 27 Aug 2017 My Price 6.00

Strassen’s algorithm

10.26    * a. Show how to multiply two numbers by solving five problems that are roughly one-third of the original size.

** b.  Generalize  this  problem  to  obtain  an  O(N1+E )  algorithm  for  any constant

E > 0.

c. Is the algorithm in part (b) better than O(N log N)?

10.27        Why is it important that Strassen’s algorithm does not use commutativity in the multiplication of 2 × 2 matrices?

10.28        Two 70 × 70 matrices can be multiplied using 143, 640 multiplications. Show how this can be used to improve the bound given by Strassen’s algorithm.

10.29        What is the optimal way to compute A1A2A3A4A5A6, where the dimensions of the matrices are: A1 : 10 × 20, A2 : 20 × 1, A3 : 1 × 40, A4 : 40 × 5, A5 : 5 × 30, A6 : 30 × 15?

Answers

Maurice Tutor
(5)
Status NEW Posted 27 Aug 2017 01:08 PM My Price 6.00

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