Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 25 Aug 2017 My Price 6.00

number of multiplications

Matrix chain multiplication Consider the problem of minimizing the total number of multiplications made in computing the product of n matrices

A1 . A2 . . . . . An

whose dimensions are d0 × d1, d1 × d2, . . . , dn−1 × dn, respectively. Assume that all intermediate products of two matrices are computed by the brute force (definition-based) algorithm.

a. Give an example of three matrices for which the number of multiplications in (A1 . A2) . A3 and A1 . (A2 . A3) differ at least by a factor of 1000.

b. How many different ways are there to compute the product of n matrices? c. Design a dynamic programming algorithm for finding an optimal order of multiplying n matrices.

Answers

Maurice Tutor
(5)
Status NEW Posted 25 Aug 2017 08:08 AM My Price 6.00

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