{ "cells": [ { "cell_type": "markdown", "id": "81b1d2f0", "metadata": {}, "source": [ "---\n", "title: \"Conjugate Gradient\"\n", "subtitle: \"Lecture 10\"\n", "date: 2026-02-23\n", "abstract-title: Overview\n", "abstract: | \n", " (1) Recap \n", " (2) Steepest Descent \n", " (3) Conjugate Gradient\n", "format:\n", " html:\n", " other-links:\n", " - text: This notebook\n", " href: L10.ipynb\n", "---" ] }, { "cell_type": "markdown", "id": "63cf0867", "metadata": {}, "source": [ "::: {.callout-note}\n", "\n", "I encourage you to play around with the juptyer notebook for this lecture - you can copy the code with the ```this notebook``` button on the side of this page.\n", "\n", ":::\n", "\n", "::: {.callout-warning}\n", "\n", "These notes are mainly a record of what we discussed and are not a substitute for attending the lectures and reading books! If anything is unclear/wrong, let me know and I will update the notes.\n", "\n", ":::\n", "\n", "::: {.callout-tip}\n", "\n", "This lecture is mostly based on @Burden sections 7.6.\n", "\n", ":::" ] }, { "cell_type": "code", "execution_count": 1, "id": "db6fe346", "metadata": {}, "outputs": [], "source": [ "#| echo: false\n", "\n", "# IF YOU ARE READING THIS, THANK YOU\n", "# FOR DOWNLOADING THE LECTURE NOTES.\n", "# THE FIRST PERSON TO LET ME KNOW,\n", "# WINS SOME CHOCOLATES OF YOUR CHOICE" ] }, { "cell_type": "code", "execution_count": 2, "id": "b1842d84", "metadata": {}, "outputs": [], "source": [ "using Plots, LaTeXStrings, LinearAlgebra, IterativeSolvers" ] }, { "cell_type": "markdown", "id": "5ea01014", "metadata": {}, "source": [ "## Recap \n", "\n", "Last semester, we looked at *direct methods* for solving $Ax = b$ which involved computing the $(P)LU$ decomposition of $A$ (i.e. $PA = LU$ where $P$ is a permutation matrix and $L/U$ are lower/upper triangular) and doing a forwards-backwards substitution:\n", "\n", "\\begin{align}\n", " Ly &= Pb \\nonumber\\\\\n", " Ux &= y.\n", "\\end{align}\n", "\n", "In general, this requires $O(N^3)$ operations. Moreover, when $A$ is sparse, this is inefficient because $L, U$ need not be sparse. In this chapter we are looking at methods that ideally converge in less than $O(N^3)$ operations and can work with matrices stored in a sparse format (i.e. that involve only matrix-vector mulitplications). " ] }, { "cell_type": "markdown", "id": "dc843190", "metadata": {}, "source": [ "Last time, we saw simple examples of iterative techniques for solving $Ax = b$:\n", "\n", "\\begin{align}\n", " x^{(k+1)} = T x^{(k)} + c \\tag{*}\n", "\\end{align}\n", "\n", "If $\\rho(T) < 1$, then, for all $x^{(0)} \\in \\mathbb R^n$, $(*)$ converges to the unique solution $x = (I-T)^{-1}c$ as $k\\to\\infty$.\n", "\n", "Examples: Jacobi, Gauss-Seidel, SOR. These are examples of so-called *splitting methods*: we write $A = P - N$ where $P$ (the *preconditioner*) is \"easy\" to invert. Then, we write $A x = b$ as $Px = Nx + b$ and define the iteration as $x_{k+1} = P^{-1}Nx^{(k)} + P^{-1} b$. \n", "\n", "::: {#exr-T}\n", "\n", "What is $P$ and $N$ for Jacobi, Gauss-Siedel, SOR? \n", "\n", ":::\n", "\n", "Notice that this method can also be written:\n", "\n", "\\begin{align}\n", " Px^{(k+1)} &= (P-A) x^{(k)} + b \\nonumber\\\\\n", " %\n", " &= P x^{(k)} + (b - Ax^{(k)}).\n", "\\end{align}\n", "\n", "Therefore, we can write\n", "\n", "\\begin{align}\n", " x^{(k+1)} = x^{(k)} + P^{-1} r^{(k)}\n", "\\end{align}\n", "\n", "where $r^{(k)} := b - Ax^{(k)}$ is the *residual* at step $k$." ] }, { "cell_type": "code", "execution_count": 3, "id": "d365a393", "metadata": {}, "outputs": [], "source": [ "function splitting(A,b,x; P=0., Niter=100, tol=1e-10) \n", " \n", " X = [x]\n", "\n", " if (P==0.)\n", " P = D\n", " end\n", "\n", " if ( isapprox(det(P), 0; atol=1e-12) )\n", " @warn \"P is singular\"\n", " return X\n", " end\n", "\n", " iP = inv(P)\n", " r = b - A*x\n", " for i ∈ 1:Niter\n", " push!( X, X[end] + iP*r ) \n", " r = b - A*X[end]\n", " if (norm(r) < tol)\n", " return X\n", " end \n", " end\n", "\n", " @warn \"max iterations exceeded\"\n", " return X\n", "end;" ] }, { "cell_type": "markdown", "id": "afbfe9ec", "metadata": {}, "source": [ "::: {#exr-residual}\n", "\n", "Why do we stop the iteration when the residual is small rather than the error?\n", "\n", ":::" ] }, { "cell_type": "markdown", "id": "d22adb57", "metadata": {}, "source": [ "::: {#exm-1}\n", "\n", "Applying the Jacobi and Gauss-Seidel iterations to $Ax = b$ with" ] }, { "cell_type": "code", "execution_count": 4, "id": "33aad3a1", "metadata": {}, "outputs": [], "source": [ "b = [6, 25, -11, 15];\n", "A = [10 -1 2 0; \n", " -1 11 -1 3; \n", " 2 -1 10 -1; \n", " 0 3 -1 8]\n", "\n", "L = -tril(A, -1)\n", "D = Diagonal(diag(A))\n", "\n", "x0 = [0.,0.,0.,0.];" ] }, { "cell_type": "markdown", "id": "c0fce944", "metadata": {}, "source": [ "gives:" ] }, { "cell_type": "code", "execution_count": 5, "id": "049866ca", "metadata": {}, "outputs": [], "source": [ "X = splitting(A,b,x0) # Jacobi\n", "Y = splitting(A,b,x0; P=D-L) # Gauss\n", "\n", "ω=1.15\n", "Z = splitting(A,b,x0; P=D-ω*L); # SOR" ] }, { "cell_type": "markdown", "id": "781372bf", "metadata": {}, "source": [ "In fact, we have the following error curves:" ] }, { "cell_type": "code", "execution_count": 6, "id": "4e6e5cc2", "metadata": {}, "outputs": [ { "data": { "image/png": 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"errGS = zeros(length(Y))\n", "for (i,y) ∈ enumerate(Y)\n", " errGS[i] = norm( y - ξ, Inf )\n", "end\n", "\n", "errSOR = zeros(length(Z))\n", "for (i,z) ∈ enumerate(Z)\n", " errSOR[i] = norm( z - ξ, Inf )\n", "end\n", "\n", "plot( errJ, label=\"Jacobi\", m=3,\n", " xlabel=\"Iteration (k)\", yaxis=(:log10, \"Error\"), \n", " legend=:bottomleft, color=:blue ) \n", "\n", "plot!( errGS, label=\"Gauss-Siedel\", m=3, color=:red ) \n", "plot!( errSOR, label=\"SOR ω=$ω\", m=3, color=:green ) \n", "\n", "\n", "U = -triu(A, 1)\n", "ρJ = maximum( abs.( eigen(inv(D)*(L+U)).values ) )\n", "ρGS = maximum( abs.( eigen(inv(D-L)*U).values ) )\n", "ρSOR = maximum( abs.( eigen(inv(D-ω*L)*( (1-ω)D+ω*U )).values ) )\n", "\n", "plot!( 1:length(X), (errJ[1]/ρJ)ρJ.^(1:length(X)), \n", " primary=false, linestyle=:dash, color=:blue )\n", "plot!( 1:length(Y), (errGS[1]/ρGS)ρGS.^(1:length(Y)), \n", " primary=false, linestyle=:dash, color=:red )\n", "plot!( 1:length(Z), (errSOR[1]/ρSOR)ρSOR.^(1:length(Z)), \n", " primary=false, linestyle=:dash, color=:green )" ] }, { "cell_type": "code", "execution_count": 7, "id": "16c7c6d3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.42643661084234186, 0.08982305838804323, 0.17351995310029997)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(ρJ, ρGS, ρSOR)" ] }, { "cell_type": "markdown", "id": "cb7a8fcf", "metadata": {}, "source": [ "::: {#exr-2}\n", "\n", "Does the iteration $x^{(k+1)} = (I - A) x^{(k)} + b$ converge in this case? What are $P$ and $N$?\n", "\n", ":::\n", "\n", ":::\n", "\n", "## Steepest Descent\n", "\n", "We now look at gradient-based methods: Notice that, if $A$ is symmetric and *positive definite* (SPD) (that is, symmetric and $x^TAx >0$ for all $x \\not=0$), then $Ax = b$ is the unique minimiser of \n", "\n", "\\begin{align}\n", " g(x) = \\frac{1}{2} x^T A x - b^T x.\n", "\\end{align}\n", "\n", "::: {#callout-note}\n", "\n", "People use lots of different notation for the *inner product* (also called the *dot product*):\n", "\n", "\\begin{align}\n", " x^T y = x \\cdot y = (x,y) = \\langle x, y \\rangle\n", " %\n", " = \\sum_i x_i y_i.\n", "\\end{align}\n", "\n", ":::\n", "\n", "::: {#exr-}\n", "\n", "Show that \n", "\n", "\\begin{align}\n", " A = \\begin{pmatrix}\n", " 5 & 1 \\\\\n", " 1 & 3\n", " \\end{pmatrix}\n", "\\end{align} \n", "\n", "is symmetric and positive definite \n", "\n", ":::\n", "\n", "The level curves of $g$ when $A$ is SPD look like this:\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "d557fb4a", "metadata": {}, "outputs": [ { "data": { "image/png": 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = [5 1; 1 3]; b = [1; 3]; ξ = A \\ b \n", "g1(x,y) = dot([x;y], A*[x;y])/2 - dot([x;y], b)\n", "\n", "x_range = range(ξ[1]-1,ξ[1]+1, length=100)\n", "y_range = range(ξ[2]-1,ξ[2]+1, length=100)\n", "\n", "contour( x_range, y_range, g1, \n", " fill=true, \n", " levels=50, \n", " title=L\"Level sets $\\{x : g(x) = c\\}$\",\n", " xlabel=\"x\", ylabel=\"y\", primary=false,\n", " colorbar=true)\n", "scatter!( [ξ[1]], [ξ[2]], color=:white, label=L\"solution $Ax=b$\")" ] }, { "cell_type": "markdown", "id": "91b37ffe", "metadata": {}, "source": [ "Notice that $\\nabla g(x)$ is a vector that points in the direction of increasing $g$. Therefore, in order to move closer to the minimiser, the first thing you might consider is \n", "\n", "\\begin{align}\n", " x^{(k+1)} = x^{(k)} - \\alpha^{(k)} \\nabla g(x^{(k)}). \n", " \\tag{GD}\n", "\\end{align}\n", "\n", "Here, $\\alpha^{(k)}$ is the *step size* and $\\nabla g(x^{(k)})$ is the *search direction*.\n", "\n", "::: {#exr-3}\n", "\n", "Show that $\\nabla g(x) = Ax - b$ and so we can rewrite $\\text{(GD)}$ as $x^{(k+1)} = x^{(k)} + \\alpha^{(k)} r^{(k)}$ where $r^{(k)}$ is the residual.\n", "\n", ":::\n", "\n", "We may choose $\\alpha^{(k)}$ to be a minimiser of $g$ along the search direction:\n", "\n", "\\begin{align}\n", " g( x^{(k)} + \\alpha^{(k)} r^{(k)} ) = \\min_{t} g( x^{(k)} + t r^{(k)} ).\n", "\\end{align}\n", "\n", "Since $g$ is quadratic, one can compute $\\alpha^{(k)}$ explicitly:\n", "\n", "\\begin{align}\n", " \\alpha^{(k)} = \\frac\n", " {r^{(k)T} r^{(k)}}\n", " {r^{(k)T} Ar^{(k)}}\n", " %\n", " =: \\frac{ (r^{(k)}, r^{(k)}) }{(r^{(k)}, r^{(k)})_A }.\n", "\\end{align}\n", "\n", "Here, we have adopted the notation $(x,y) = x^T y$ and defined $(x,y)_A := x^T A y$. \n", "\n", "Here, we have implemented steepest descent:" ] }, { "cell_type": "code", "execution_count": 14, "id": "72a042fa", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to c:\\Users\\math5\\Math 5485\\Math5486\\tmp.gif\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "Plots.AnimatedGif(\"c:\\\\Users\\\\math5\\\\Math 5485\\\\Math5486\\\\tmp.gif\")" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function gradientDescent(A,b,x0; Niter=100, xlims=[-25,25], ylims=[-25,25])\n", "\n", " g(x,y) = dot([x;y], A*[x;y])/2 - dot([x;y], b)\n", " Dg(x,y) = A*[x;y] - b\n", "\n", " x_range = range(xlims[1], xlims[2], length=100)\n", " y_range = range(ylims[1], ylims[2], length=100)\n", "\n", " P = contour(x_range, y_range, g, \n", " fill=true, \n", " levels=50, \n", " title=\"Steepest Descent\",\n", " xlabel=\"x\", ylabel=\"y\", legend=false,\n", " colorbar=true)\n", "\n", " anim = @animate for i ∈ 0:Niter\n", "\n", " if (i==0)\n", " scatter!(P, [x0[1]], [x0[2]], markersize=5, color=:white)\n", " else \n", " r = b - A*x0\n", " if (norm(r)<10-8)\n", " break;\n", " end\n", " # step size \n", " α = dot(r,r)/dot(r,A*r)\n", "\n", " x1 = x0 - α*Dg(x0[1],x0[2]) \n", " plot!(P, [x0[1],x1[1]], [x0[2],x1[2]], color=:white, lw=2)\n", " scatter!(P, [x1[1]], [x1[2]], markersize=5, color=:white)\n", " x0 = x1 \n", " end\n", " end\n", "\n", " return anim\n", "end\n", "\n", "A = [5 1; 1 3]; b = [1; 3]; x0 = [25;-15]; ξ = A \\ b \n", "gif( gradientDescent(A,b,x0), fps=1 )" ] }, { "cell_type": "markdown", "id": "649cdcb6", "metadata": {}, "source": [ "What's the problem with this? The steepest descent direction is only best search direction locally. It can happen that the iteration zig-zags: " ] }, { "cell_type": "code", "execution_count": null, "id": "2e1c2928", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to c:\\Users\\math5\\Math 5485\\Math5486\\tmp.gif\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "Plots.AnimatedGif(\"c:\\\\Users\\\\math5\\\\Math 5485\\\\Math5486\\\\tmp.gif\")" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = [5 0 ; 0 2]; b = [10; 3]; x0 = [15;20]\n", "gif( gradientDescent(A,b,x0), fps=1 )" ] }, { "cell_type": "markdown", "id": "c94b8fba", "metadata": {}, "source": [ "In higher dimensions this problem gets worse! In fact, if the condition number is large (roughly speaking, this means the widths of the principal axes of the hyperellipsoids (the level sets of $g$) are varied with some directions very thin and some very wide), then the performance of steepest descent is very poor.\n", "\n", "Idea: choose better search directions." ] }, { "cell_type": "markdown", "id": "00497fbf", "metadata": {}, "source": [ "## Conjugate gradient\n", "\n", "Consider \n", "\n", "\\begin{align}\n", " x^{(k+1)} = x^{(k)} + \\alpha^{(k)} v^{(k)} \n", "\\end{align}\n", "\n", "for some step size $\\alpha^{(k)}$ and search direction $v^{(k)}$. \n", "\n", "This gives $Ax^{(k+1)} = Ax^{(k)} + \\alpha^{(k)} Av^{(k)}$ and thus \n", "\n", "\\begin{align}\n", " r^{(k+1)} = r^{(k)} - \\alpha^{(k)} A v^{(k)} \n", "\\end{align}\n", "\n", "where $r^{(k)} = b - Ax^{(k)}$ is the residual. \n", "\n", "### What $\\alpha^{(k)}$?\n", "\n", "Suppose we have a search direction $v^{(k)}$. Again, we can choose $\\alpha^{(k)}$ that minimises $g(x^{(k)} + \\alpha^{(k)} v^{(k)} )$ over the space $\\{ x^{(k)} + t v^{(k)} : t \\in \\mathbb R \\}$. Since\n", "\n", "\\begin{align}\n", " g( x^{(k)} + t v^{(k)} ) &= g(x^{(k)}) + t v^{(k)T} ( Ax^{(k)} - b ) + \\frac{t^2}{2} v^{(k)T}Av^{(k)} \\nonumber\\\\\n", " %\n", " &= g(x^{(k)}) - t (v^{(k)}, r^{(k)}) + \\frac{t^2}{2} (v^{(k)},v^{(k)})_A,\n", "\\end{align}\n", "\n", "we have\n", "\n", "\\begin{align}\n", " \\alpha^{(k)} := \\frac\n", " {(v^{(k)}, r^{(k)})}\n", " {(v^{(k)},v^{(k)})_A}.\n", " \\tag{$\\alpha$}\n", "\\end{align}\n", "\n", "### What $v^{(k)}$?\n", "\n", "::: {#exr-v}\n", "\n", "Show that, if $\\alpha^{(k)} = \\frac\n", " {(v^{(k)}, r^{(k)})}\n", " {(v^{(k)},v^{(k)})_A}$, then $r^{(k+1)}$ is orthogonal to $v^{(k)}$ (that is, $(v^{(k)},r^{(k+1)}) = 0$).\n", "\n", ":::\n", "\n", "::: {#def-Aorth}\n", "\n", "We say $\\{ v^{(j)} \\}$ is *$A$-orthogonal* (or *$A$-conjugate*) if $(v^{(j)}, v^{(k)})_A = 0$ for all $j\\not= k$.\n", "\n", ":::\n", "\n", "It turns out to be a good idea to try and choose $v^{(j)}$ for $j \\leq k$ such that $r^{(k+1)}$ is orthogonal to $v^{(0)}, \\cdots, v^{(k)}$. That is, we try and choose the $v^{(j)}$ so that the steepest descent direction points into a \"previously unsearched\" subspace. By @exr-v (the choice of $\\alpha^{(k)}$), we have $(v^{(k)},r^{(k+1)}) = 0$. Moveover, since $r^{(k+1)} = r^{(k)} - \\alpha^{(k)} Av^{(k)}$, we have \n", "\n", "\\begin{align}\n", " (v^{(k-1)}, r^{(k+1)}) &= (v^{(k-1)}, r^{(k)}) - \\alpha^{(k)} (v^{(k-1)}, v^{(k)})_A \\nonumber\\\\\n", " %\n", " &= - \\alpha^{(k)} (v^{(k-1)}, v^{(k)})_A\n", "\\end{align}\n", "\n", "and so $(v^{(k-1)}, r^{(k+1)})= 0$ if and only if $(v^{(k-1)}, v^{(k)})_A = 0$. More generally, we have \n", "\n", "::: {#lem-v}\n", "\n", "Suppose that $\\alpha^{(k)} = \\frac\n", " {(v^{(k)}, r^{(k)})}\n", " {(v^{(k)},v^{(k)})_A}$. \n", "Then, $(v^{(j)}, r^{(k+1)}) = 0$ for all $j \\leq k$ if and only if $\\{ v^{j} \\}$ is $A$-orthogonal.\n", "\n", ":::\n", "\n", "Any $A$-orthogonal choice of search directions miniminises $g$ on increasing subspaces: \n", "\n", "::: {#thm-CG}\n", "\n", "Suppose that $\\alpha^{(k)} = \\frac\n", " {(v^{(k)}, r^{(k)})}\n", " {(v^{(k)},v^{(k)})_A}$ and $\\{v^{(j)}\\}$ is $A$-orthogonal. \n", "Then, $x^{(k+1)} = x^{(k)} + \\alpha^{(k)} v^{(k)}$ minimises $g(x) = \\frac{1}{2}x^T Ax - b^Tx$ over the space\n", "\n", "\\begin{align}\n", " &x^{(0)} + \\mathrm{span}\\big\\{ v^{(0)}, v^{(1)}, \\cdots, v^{(k)} \\big\\} \\nonumber\\\\\n", " %\n", " &= \\left\\{ \n", " x^{(0)} + c_0 v^{(0)} + \\cdots + c_k v^{(k)} : c_0,\\cdots,c_k \\in \\mathbb R \n", " \\right\\}\n", "\\end{align}\n", "\n", ":::" ] }, { "cell_type": "markdown", "id": "87cd55f4", "metadata": {}, "source": [ "
Proof. Next time!
" ] }, { "cell_type": "markdown", "id": "7bf32c1d", "metadata": {}, "source": [ "### How to choose $\\{ v^{(j)} \\}$?\n", "\n", "(If you know about Gram-Schmidt (with respect to the inner product $(\\cdot,\\cdot)_A$), then that is one option). \n", "\n", "It turns out that you can obtain $A$-orthogonal search directions by writing the new search direction as a linear combination of the residual and previous search direction: suppose that\n", "\n", "\\begin{align}\n", " v^{(k+1)} = r^{(k+1)} + \\beta^{(k)} v^{(k)}.\n", "\\end{align}\n", "\n", "::: {#exr-v2}\n", "\n", "Show that, if $\\{v^{(j)}\\}$ is $A$-orthogonal and $v^{(k+1)} = r^{(k+1)} + \\beta^{(k)} v^{(k)}$, then \n", "\n", "\\begin{align}\n", " \\beta^{(k)} = - \\frac\n", " {(v^{(k)},r^{(k+1)})_A}\n", " {(v^{(k)}, v^{(k)})_A}\n", "\\end{align}\n", "\n", "Hint: consider $(v^{(k)},v^{(k+1)})_A = 0$\n", "\n", ":::" ] }, { "cell_type": "code", "execution_count": null, "id": "4054eb30", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to c:\\Users\\math5\\Math 5485\\Math5486\\tmp.gif\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "Plots.AnimatedGif(\"c:\\\\Users\\\\math5\\\\Math 5485\\\\Math5486\\\\tmp.gif\")" ] }, "execution_count": 101, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function CG(A,b,x0; Niter=5, xlims=[-25,25], ylims=[-25,25])\n", "\n", " g(x,y) = dot([x;y], A*[x;y])/2 - dot([x;y], b)\n", "\n", " x_range = range(xlims[1], xlims[2], length=100)\n", " y_range = range(ylims[1], ylims[2], length=100)\n", "\n", " P = contour(x_range, y_range, g, \n", " fill=true, \n", " levels=50, \n", " title=\"Conjugate Gradient\",\n", " xlabel=\"x\", ylabel=\"y\", legend=false,\n", " colorbar=true)\n", "\n", " r = b - A*x0\n", " v = b - A*x0\n", " anim = @animate for i ∈ 0:Niter\n", "\n", " if (i==0)\n", " scatter!(P, [x0[1]], [x0[2]], markersize=5, color=:white)\n", " else \n", " \n", " if (norm(r)<10-8)\n", " break;\n", " end\n", "\n", " # step size \n", " α = dot(v,r)/dot(v,A*v)\n", "\n", " # new point\n", " x1 = x0 + α*v\n", " plot!(P, [x0[1],x1[1]], [x0[2],x1[2]], color=:white, lw=2)\n", " scatter!(P, [x1[1]], [x1[2]], markersize=5, color=:white)\n", "\n", " # residual\n", " r = b - A*x1\n", " \n", " # new search direction\n", " β = - dot(v,A*r)/dot(v,A*v)\n", " v = r + β*v\n", " \n", " x0 = x1\n", " end\n", " end\n", "\n", " return anim\n", "end\n", "\n", "A = [5 1; 1 3]; b = [1; 3]; x0 = [25;25]; ξ = A \\ b \n", "gif( CG(A,b,x0), fps=1 )" ] }, { "cell_type": "code", "execution_count": null, "id": "06876f03", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to c:\\Users\\math5\\Math 5485\\Math5486\\tmp.gif\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "Plots.AnimatedGif(\"c:\\\\Users\\\\math5\\\\Math 5485\\\\Math5486\\\\tmp.gif\")" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to c:\\Users\\math5\\Math 5485\\Math5486\\tmp.gif\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "Plots.AnimatedGif(\"c:\\\\Users\\\\math5\\\\Math 5485\\\\Math5486\\\\tmp.gif\")" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = [5 0 ; 0 2]; b = [10; 3]; x0 = [15;20]\n", "display( gif( gradientDescent(A,b,x0), fps=1 ) )\n", "gif( CG(A,b,x0), fps=1 )" ] }, { "cell_type": "markdown", "id": "b94ee96d", "metadata": {}, "source": [ ":::{.callout-tip}\n", "# TO-DO\n", "\n", "* Assignment 3: Due Wednesday 11:59 PM,\n", "* (Sign-up to office hours if you would like)\n", "\n", "Chapter 1 reading:\n", "\n", "* @Burden sections 5.1 - 5.6, \n", "* @FNC [zero stability](https://fncbook.com/zerostability/) \n", "\n", "Chapter 2 reading:\n", "\n", "* Recap matrices: sections 7.1 - 7.2 of @Burden \n", "* Jacobi & Gauss-Seidel: section 7.3 @Burden \n", "* Today: section 7.6 @Burden\n", "\n", "Next: other Kyrlov subspace methods\n", "\n", ":::" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.11", "language": "julia", "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.11.6" } }, "nbformat": 4, "nbformat_minor": 5 }