Add complex number and non-complex example

Author: ritchieng

notebooks/comparison.ipynb

@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -24,7 +24,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 7,
    "metadata": {
     "tags": []
    },
@@ -90,6 +90,9 @@
     }
    ],
    "source": [
+    "'''\n",
+    "Run with Complex Numbers\n",
+    "'''\n",
     "# Random square matrix\n",
     "rand_square_matrix = torch.rand(50, 50, dtype=float)\n",
     "\n",
@@ -109,10 +112,39 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 8,
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Old Method Eigenvector ij: 0.0225447410369363\n",
+      "--------------------------------------------------\n",
+      "New Method Eigenvector ij: 0.02254474103693581\n"
+     ]
+    }
+   ],
+   "source": [
+    "'''\n",
+    "Run with Complex Numbers Disabled\n",
+    "'''\n",
+    "# Random square matrix\n",
+    "rand_square_matrix = torch.rand(50, 50, dtype=float)\n",
+    "\n",
+    "# Hermitian matrix\n",
+    "hermitian_matrix = rand_square_matrix * rand_square_matrix.T\n",
+    "\n",
+    "# Old \n",
+    "old_eigenvector_ij = get_eigenvector_val_old(hermitian_matrix, i=0, j=0, disable_complex=True)\n",
+    "\n",
+    "# New\n",
+    "new_eigenvector_ij = get_eigenvector_val(hermitian_matrix, i=0, j=0, disable_complex=True)\n",
+    "\n",
+    "print(f'Old Method Eigenvector ij: {old_eigenvector_ij}')\n",
+    "print('-'*50)\n",
+    "print(f'New Method Eigenvector ij: {new_eigenvector_ij}')"
+   ]
   }
  ],
  "metadata": {