{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "\n", "import numpy as np\n", "import numpy.linalg as la\n", "import matplotlib.pyplot as pt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "mesh = np.linspace(0, 1, 200)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "for i in range(10):\n", " pt.plot(mesh, mesh**i)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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nZcYcO3YM06ZNg7W1NQDAxMSksZ5DDEabp12odQB4+JCTuseOAcOHq+20RITP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\no7ce5cGRB1m0oYjNu5udEn73FEZjOUtLf8eUlFAWFd1EjSa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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Vandermonde matrix" ] }, { "cell_type": "code", "collapsed": false, "input": [ "n = 5 # also try: 10, 20\n", "\n", "V = np.array([mesh**i for i in range(n)]).T " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "la.cond(V)" ], "language": "python", "metadata": {}, "outputs": [ { "latex": [ "$$677.44361212$$" ], "metadata": {}, "output_type": "pyout", "png": 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"code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }