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Last active October 20, 2016 18:09
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Trefethen & Bau lecture notes in Julia
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lecture 3: Norms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Vector norms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The contour lines of the major $p$-norms gives some idea of the metric structure created by them."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x320c91390>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(PyObject <matplotlib.text.Text object at 0x320dcd390>,PyObject <matplotlib.text.Text object at 0x320b6c2d0>)"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using PyPlot\n",
"x = linspace(-1,1,90);\n",
"y = x';\n",
"contour(x[:],y[:],sqrt(x.^2 .+ y.^2))\n",
"axis(\"equal\")\n",
"title(\"level curves of the 2-norm\")\n",
"xlabel(L\"x_1\"), ylabel(L\"x_2\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x320db7350>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(PyObject <matplotlib.text.Text object at 0x30a6ce290>,PyObject <matplotlib.text.Text object at 0x30a6cebd0>)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"contour(x[:],y[:],abs(x) .+ abs(y))\n",
"axis(\"equal\")\n",
"title(\"contours of the 1-norm\")\n",
"xlabel(L\"x_1\"), ylabel(L\"x_2\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x30a7c5e10>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(PyObject <matplotlib.text.Text object at 0x30a6d9350>,PyObject <matplotlib.text.Text object at 0x3239e5d10>)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"contour(x[:],y[:],broadcast(max,abs(x),abs(y)))\n",
"axis(\"equal\")\n",
"title(\"contours of the ∞-norm\")\n",
"xlabel(L\"x_1\"), ylabel(L\"x_2\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Induced matrix norms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A matrix norm is the maximum of $\\|Ax\\|$ over all unit vectors $x$. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x30a787e90>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x324102ad0>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A = [-2 0; -1 3];\n",
"t = linspace(0,2*pi,300);\n",
"x1 = cos(t'); \n",
"x2 = sin(t');\n",
"Ax = A*[x1;x2];\n",
"subplot(1,2,1)\n",
"scatter(x1,x2,20,t,\".\",cmap=\"hsv\",edgecolor=\"none\") \n",
"axis(\"equal\")\n",
"title(L\"x\")\n",
"subplot(1,2,2)\n",
"scatter(Ax[1,:],Ax[2,:],20,t,\".\",cmap=\"hsv\",edgecolor=\"none\")\n",
"axis(\"equal\")\n",
"title(L\"Ax\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x30a7ace90>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x3243e6c50>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(t,sqrt( sum(Ax.^2,1)' ))\n",
"xlim(0,2*pi)\n",
"xlabel(\"angle\")\n",
"ylabel(L\"||Ax||_2\")\n",
"plot([0; 2*pi],[norm(A); norm(A)],\":\")\n",
"text(6.4,norm(A),L\"||A||_2\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x318657cd0>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x324676690>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"t = linspace(-1,1,100)'; \n",
"o = ones(size(t));\n",
"x1 = [t o t -o]; \n",
"x2 = [o t -o t];\n",
"Ax = A*[x1;x2];\n",
"subplot(1,2,1)\n",
"scatter(x1,x2,20,1:400,\".\",cmap=\"hsv\",edgecolor=\"none\") \n",
"axis(\"equal\")\n",
"title(L\"x\")\n",
"subplot(1,2,2)\n",
"scatter(Ax[1,:],Ax[2,:],20,1:400,\".\",cmap=\"hsv\",edgecolor=\"none\")\n",
"axis(\"equal\")\n",
"title(L\"Ax\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32466c910>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x32490ed10>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(maximum(abs(Ax),1)')\n",
"ylabel(L\"||Ax||_{\\infty}\")\n",
"plot([1;400],[norm(A,Inf);norm(A,Inf)],\":\")\n",
"text(402,norm(A,Inf),L\"||A||_{\\infty}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `maximum` and `sum` functions can operate along a specified dimension of a matrix, making the matrix norm easy to compute directly."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1x1 Array{Int64,2}:\n",
" 3"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"onenorm = maximum( sum(abs(A),1), 2)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1x1 Array{Int64,2}:\n",
" 4"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"infnorm = maximum( sum(abs(A),2), 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unitary matrices"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A unitary matrix always preserves all Euclidean distances, so these matrices represent rotations and reflections."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x3246d8950>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x32498fa10>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ϕ,Θ = (linspace(0,1.5*π,70),linspace(π/4,π,50)');\n",
"X1,X2,X3 = (sin(Θ).*cos(ϕ),sin(Θ).*sin(ϕ),cos(Θ).*ϕ.^0);\n",
"x = [X1[:] X2[:] X3[:]];\n",
"Q = qr(rand(3,3))[1];\n",
"Qx = (Q*x')';\n",
"\n",
"colrs = sum(x,2);\n",
"scatter3D(x[:,1],x[:,2],zs=x[:,3],s=40,c=colrs,marker=\".\",edgecolor=\"none\")\n",
"title(L\"x\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x31864f750>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x324bb6cd0>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"scatter3D(Qx[:,1],Qx[:,2],zs=Qx[:,3],s=40,c=colrs,marker=\".\",edgecolor=\"none\")\n",
"title(L\"Qx\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I was not able to find an easy way to force the axes scalings to be 1:1:1, so imagine that the points all lie on the unit sphere. "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.4.3",
"language": "julia",
"name": "julia-0.4"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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