Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 27.2, Problem 1E
Program Plan Intro

To analyse the work, span, and parallelism of the computation dag computing P-SQAURE-MATRIX-MULTIPLY on 2X2 matrices.

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Modify the Chebyshev center coding with julia in a simple style using vectors, matrices and for loops # Given matrix A and vector bA = [2 -1 2; -1 2 4; 1 2 -2; -1 0 0; 0 -1 0; 0 0 -1]b = [2; 16; 8; 0; 0; 0] A small sample:Let t_(l),t_(o),t_(m),t_(n),t_(t),t_(s) be starttimes of the associated tasks.Now use the graph to write thedependency constraints:Tasks o,m, and n can't start until task I is finished, and task Itakes 3 days to finish. So the constraints are:t_(l)+3<=t_(o),t_(l)+3<=t_(m),t_(l)+3<=t_(n)Task t can't start until tasks m and n are finished. Therefore:t_(m)+1<=t_(t),t_(n)+2<=t_(t),Task s can't start until tasks o and t are finished. Therefore:t_(o)+3<=t_(s),t_(t)+3<=t_(s)
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