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TB-Lecture32
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lecture 32: Sparse matrices and iterative methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Sparse format\n",
"\n",
"Large matrices whose entries are mostly zeros are typically called *sparse*. They can be stored more efficiently than \"dense\" or full matrices, but must explicitly be constructed as a sparse type. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name Size Bytes Class Attributes\n",
"\n",
" A 10000x10000 719832 double sparse\n"
]
}
],
"source": [
"A = sprandn(10000,10000,0.0004);\n",
"whos A"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The equivalent full (or \"dense\") matrix would require 800 MB of storage. \n",
"\n",
"Two common ways to inspect a sparse matrix are `nnz`, the number of nonzeros, and `spy`, which shows the locations of the nonzeros."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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7N83wfvdGb8OQNpRLaRzW68y2ffcGbnQoE30ZOov9nZ97XKmE8l4V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fp/psvN3Zp7U+69W1DBndAGIeRWW0zztTv21a4IkK+YE5wW1DJgGTtPWeNIBLJuKxk4/VvOg3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\njSaT9Jt9+ObbXS0DuqSjN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RP4tBGt1ZdOnCI+lHYoY3yoC6O9z9yXlXYo/VmkYDb5WM3I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\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/3QstFrvz9JuhX2SKADB32xVfZIqu5UUVPO6fIGT6cSgZgWzXHU96FSaj1ZEqYpWsjsn+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NVL8Xs+CuROJ0zqL8BzD1DzonCuKxVvtTsSvBmnK4Zfi3ZLO/2sdXvCqh9bG6U6pxN82SS5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\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gQblczswaW1paRkVFRUZG/ttW1PyDKBSK1NTUuro6IjIxMVm+fHlCQgJzesTgUlNd5YDO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\nJAAAMAj/ATeZgpURJCRcAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ans =\n",
"\n",
" 39989\n"
]
}
],
"source": [
"spy(A)\n",
"nnz(A)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sparse matrices are not just more memory-efficient; they are able to ignore zeros when taking sums and products."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Elapsed time is 0.013211 seconds.\n"
]
}
],
"source": [
"v = rand(10000,1);\n",
"tic, for k = 1:100, A*v; end, toc"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Elapsed time is 4.366529 seconds.\n"
]
}
],
"source": [
"F = full(A);\n",
"tic, for k = 1:100, F*v; end, toc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One thing to watch out for, though: the way a sparse matrix is stored can make column operations a lot faster than row operations, so plan accordingly. "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Elapsed time is 0.013332 seconds.\n"
]
}
],
"source": [
"B = A;\n",
"tic, B(:,1000) = sum(B(:,1:10000),2); toc"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Elapsed time is 0.027281 seconds.\n"
]
}
],
"source": [
"B = A;\n",
"tic, B(1000,:) = sum(B(1:10000,:),1); toc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Sparse backslash\n",
"\n",
"There are algorithms that attempt to exploit sparsity when solving linear systems of equations. They will be called automatically when backslash is used on a sparse matrix. The time required varies wildly, but these methods can be surprisingly effective, especially for well-known common problems such as the 5-point Laplacian approximation. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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R/QO5B/E6NAnNxretcxEkgCYBikCQACFoEqAABAn4N5oEyIsgAT+iSYCMCBLwEzQJkAtB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\nWQgSAEAROGQHAFAEggQAUASCBABQhP8H50RDUOf8rTYAAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"grid = numgrid('S',500);\n",
"A = delsq(grid);\n",
"spy(A)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Elapsed time is 0.601919 seconds.\n"
]
}
],
"source": [
"n = size(A,1); \n",
"b = ones(n,1);\n",
"tic, x = A\\b; toc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, a 250,000 by 250,000 matrix might not be considered 'large' in every sense!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Jacobi and Gauss-Seidel\n",
"\n",
"Sooner or later, though, one encounters $Ax=b$ problems of a type and size where the sparse direct algorithms take too long. At this point one turns to iterative methods, which can be halted before complete convergence. \n",
"\n",
"A classical iterative idea is to split the matrix additively: $A=M-N$, so that $Mx=Nx+b$. This is turned into a fixed-point iteration, $Mx^{(k+1)}=Nx^{(k)}+b$. If $M$ is the \"diagonal part\" of $A$, this is the **Jacobi** iteration, and if $M$ is the lower triangle of $A$, it's the **Gauss--Seidel** iteration."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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DP/fK62OEENbX+Vtf1iq59dZbv//++/o3Kr/T1q1bK587dOjQRYsWSY+VF8Y2Zls23+Cb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\nwHv4mc1mT/fBVWJiYs6ePev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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m = 20000;\n",
"A = sprandn(m,m,0.001) + m/100*speye(m);\n",
"b = ones(m,1);\n",
"dA = diag(A);\n",
"N = - triu(A,1) - tril(A,-1);\n",
"x = 0*b;\n",
"normres = [];\n",
"for k = 1:50\n",
" x = (N*x + b)./dA;\n",
" normres = [normres;norm(b-A*x)];\n",
"end\n",
"semilogy(normres)\n",
"title('Convergence of Jacobi iteration')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Iterative methods come at a price: the convergence of the method depends very strongly on the matrix $A$, as well as the method chosen. Unlike LU factorization and the related direct methods, these methods are far from \"plug-n-play.\" "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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bdPOHH37IbNbX33v29TGEEPXr/NUva6UGDx78888/694p8536+vqyX/v888/n5+fTx+wL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\nAgkAADjh/wPJpbaJyyRH3gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mu = sqrt(m);\n",
"for i = 1:4\n",
" A = sprandn(m,m,0.001) + mu*speye(m);\n",
" dA = diag(A);\n",
" N = - triu(A,1) - tril(A,-1);\n",
" x = 0*b;\n",
" normres = [];\n",
" for k = 1:50\n",
" x = (N*x + b)./dA;\n",
" normres = [normres;norm(b-A*x)];\n",
" end\n",
" semilogy(normres)\n",
" hold on\n",
" mu = mu/4;\n",
"end\n",
"title('Convergence of Jacobi iteration')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Although Jacobi, Gauss-Seidel, and friends are helpful in some circumstances, they have been largely overtaken by **Krylov subspace methods**. They are more robust over a wider range of problems, they allow the incorporation of partial knowledge of the matrix or crude approximate solutions, and they can be used without even needing to know the matrix $A$! This last part sounds strange but is extremely important. "
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Matrix-free iterations\n",
"\n",
"A matrix is the expression of a linear transformation on vectors. Krylov subspace methods require the matrix $A$ only in the form, \"find $Av$ given any vector $v$.\" That is, any representation of the linear transformation is just as good as having the matrix. \n",
"\n",
"For instance, consider the PageRank algorithm that made Google the king of the internet search. PageRank represents the web as an undirected graph, or equivalently as a weighted adjacency matrix, where adjacency means a link in one page to another. This is an *enormous* graph that is *incredibly* sparse. You don't need to worry about representing the adjacency matrix $A$. Instead, you just need the capability to perform the mapping \"given the probability of being on every page, follow links randomly to calculate the probabilities of visiting every page next.\" \n",
"\n",
"In differential equations, we don't need a matrix representation of a discretized differentiation operator, which could be a headache on 2D or 3D regions. You just need the operation (for example), \"find the values of the derivative of an interpolant to these values.\" This matrix-free viewpoint is often easier to code and faster to compute. "
]
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