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2 Dense Matrix Multiplication Given a matrix A of size N X N and a vector cc of size N, the value 3; = Am is given by y[i] = 21. A[i][j]w[j]. Or in...

I need assistance with figuring out how an NxN matrix will communicate in MPI point to point communication. No code required, c/c++ oriented pseudo-code will be plentyVertical and Horizontal-1.png

Vertical and Horizontal-1.png

2 Dense Matrix Multiplication Given a matrix A of size N X N and a vector cc of size N, the value 3; = Am is given by y[i] = 21. A[i][j]w[j].
Or in other words, to compute y[z] multiply element wise the ith row of the matrix by m and sum the values. (Assume the network topology is a clique.)
Use only blocking Point to Point communication. 2.1 1D partitioning: Horizontal stripes Horizontal Data Partitioning Question: Write the algorithm that performs y = Aw; a: = y; 10 times
in a loop if the data is partitioned horizontally.
Question: How much memory does each node need if the data is partitioned horizontally?
Question: How much communication does the algorithm do per iter- ation if the data is partitioned horizontally? 2.2 1D partitioning: vertical stripes Vertical Data Partitioning Question: Write the algorithm that performs y 2 Am; a: = y; 10 times
in a loop if the data is partitioned vertically.
Question: How much memory does each node need if the data is partitioned vertically?
Question: How much communication does the algorithm do per iter- ation if the data is partitioned vertically? 2.3 2D partitioning: blocks Block Partitioning Question: Write the algorithm that performs y : Am; a: : y; 10 times
in a loop if the data is partitioned in blocks. Question: How much memory does each node need if the data is
partitioned in blocks? Question: How much communication does the algorithm do per iter—
ation if the data is partitioned in blocks?

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