{ "metadata": { "name": "", "signature": "sha256:ebb63373cd2c23f36acc77e3ffff5c7a3bae41bb7857f61ea747c6addb501dba" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Rank of a Potential Evaluation Matrix" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as pt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 51 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make two particle collections: `sources` and `targets`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sources = np.random.randn(2, 200)\n", "targets = np.random.randn(2, 200)\n", "\n", "pt.plot(sources[0], sources[1], \"go\")\n", "pt.plot(targets[0], targets[1], \"ro\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 52, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAEACAYAAACqOy3+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niUSSpvz/iGAeyMGK/QwAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's assume each of these points has a charge, and evaluate the potential at each of the other points." ] }, { "cell_type": "code", "collapsed": false, "input": [ "all_distvecs = sources.reshape(2, 1, -1) - targets.reshape(2, -1, 1)\n", "dists = np.sqrt(np.sum(all_distvecs**2, axis=0))\n", "interaction_mat = 1/dists\n", "\n", "pt.imshow(dists)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 53, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAQIAAAEACAYAAABYh3hbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 53 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finding the Rank: Attempt 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do we find the rank? Get the matrix to echelon form, look for zero rows.\n", "\n", "**Bonus Q:** Is this the same as LU?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from m_echelon import m_echelon\n", "M, U = m_echelon(interaction_mat)\n", "pt.imshow(np.log10(1e-15+np.abs(U)), cmap=\"gray\")\n", "pt.colorbar()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 54, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAATYAAAEACAYAAAA5n1oZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finding the Rank: Attempt 2" ] }, { "cell_type": "code", "collapsed": false, "input": [ "U, sigma, V = np.linalg.svd(interaction_mat)\n", "\n", "pt.semilogy(sigma)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEDCAYAAADdpATdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEZESpMpfRKQE/X/af8swOnxkkQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "k = 60\n", "Uk = U[:, :k]\n", "Vk = V.T[:, :k].T\n", "\n", "Ak = (Uk * sigma[:k]).dot(Vk)\n", "\n", "np.linalg.norm(interaction_mat - Ak, 2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 56, "text": [ "7.0952237471847974" ] } ], "prompt_number": 56 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 56 } ], "metadata": {} } ] }