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<h3 id="1D-block-partition">1D block partition<a class="anchor-link" href="#1D-block-partition"></a></h3>
<h3 id="1D-block-partition">1D block partition<a class="anchor-link" href="#1D-block-partition"></a></h3><p>The following figure shows the portion of vector <code>u_new</code> is updated at each iteration by a particular process (CPU 3) left picture, and which entries of <code>u</code> are needed to update this data, right picture. We use analogous figures for the other partitions below.</p>
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<h3 id="Exercise-2">Exercise 2<a class="anchor-link" href="#Exercise-2"></a></h3><p>Compute the complexity of the communication and computation of the three data partition strategies (1d block partition, 2d block partition, and 2d cyclic partition) when computing a single iteration of the Jacobi method in 2D. Assume that the grid is of size $N \times N$ and the number of processes $P$ is a perfect square number, i.e. $\sqrt{P}$ is an integer. Hint: For the complexity analysis, you can ignore the effect of the boundary conditions.</p>
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<div class="highlight hl-julia"><pre><span></span><span class="c"># TODO</span>
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