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cmdla/10-26/lesson.ipynb
elvis b3fc9cb021 first commit with current lessons
2023-10-29 02:06:02 +01:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "ec9ea22e-1946-4601-9ddd-ba6b9243857a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"gmq (generic function with 1 method)"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(\"../10-04/GMQ.jl\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "107c678a-21ff-4877-96da-d8c3b34cfb5d",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"-14.843750953674316"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gradient method for quadratic functions (fixed stepsize)\n",
"iter\tf(x)\t\t\t||g||\t\tgap\t\trate\n",
"\n",
" 1\t0.00000000e+00\t\t1.1180e+01\t1.0000e+00\t\t\n",
" 2\t-1.31944444e+01\t\t3.7268e+00\t1.1111e-01\t1.1111e-01\n",
" 3\t-1.46604938e+01\t\t1.2423e+00\t1.2346e-02\t1.1111e-01\n",
" 4\t-1.48233882e+01\t\t4.1409e-01\t1.3718e-03\t1.1112e-01\n",
" 5\t-1.48414876e+01\t\t1.3803e-01\t1.5248e-04\t1.1115e-01\n",
" 6\t-1.48434986e+01\t\t4.6010e-02\t1.6999e-05\t1.1149e-01\n",
" 7\t-1.48437221e+01\t\t1.5337e-02\t1.9459e-06\t1.1447e-01\n",
" 8\t-1.48437469e+01\t\t5.1122e-03\t2.7332e-07\t1.4046e-01\n",
" 9\t-1.48437497e+01\t\t1.7041e-03\t8.7478e-08\t3.2005e-01\n",
" 10\t-1.48437500e+01\t\t5.6802e-04\t6.6829e-08\t7.6395e-01\n",
" 11\t-1.48437500e+01\t\t1.8934e-04\t6.4534e-08\t9.6567e-01\n",
" 12\t-1.48437500e+01\t\t6.3113e-05\t6.4279e-08\t9.9605e-01\n",
" 13\t-1.48437500e+01\t\t2.1038e-05\t6.4251e-08\t9.9956e-01\n",
" 14\t-1.48437500e+01\t\t7.0126e-06\t6.4248e-08\t9.9995e-01\n",
" 15\t-1.48437500e+01\t\t2.3375e-06\t6.4248e-08\t9.9999e-01\n",
" 16\t-1.48437500e+01\t\t7.7918e-07\t6.4248e-08\t1.0000e+00"
]
},
{
"data": {
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([-2.1874998911066883, -1.5624998475493646], \"optimal\")"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Q = Float32[6 -2; -2 6]\n",
"q = Float32[10, 5]\n",
"xStar = Q \\ -q\n",
"v = 0.5 * dot(xStar, Q, xStar) + q' * xStar\n",
"v |> display\n",
"gmq(Q, q, fStar=v, alpha=2/(8+4), Plotf=1, printing=true) # 16 iterations instead of 12 but useful for higher dimensions"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "094a4e0f-dfd8-4cde-a2f1-3ca1e4cccef4",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"-3.406252861022949"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gradient method for quadratic functions (optimal stepsize)\n",
"iter\tf(x)\t\t\t||g||\t\tgap\t\trate\t\talpha\n",
"\n",
" 1\t0.00000000e+00\t\t1.1180e+01\t1.0000e+00\t\t\t5.55e-03\n",
" 2\t-3.46836848e-01\t\t3.6854e+00\t8.9818e-01\t8.9818e-01\t4.59e-02\n",
" 3\t-6.58357498e-01\t\t1.0042e+01\t8.0672e-01\t8.9818e-01\t5.55e-03\n",
" 4\t-9.38157975e-01\t\t3.3102e+00\t7.2458e-01\t8.9818e-01\t4.59e-02\n",
" 5\t-1.18946814e+00\t\t9.0194e+00\t6.5080e-01\t8.9818e-01\t5.55e-03\n",
" 6\t-1.41518899e+00\t\t2.9731e+00\t5.8453e-01\t8.9818e-01\t4.59e-02\n",
" 7\t-1.61792611e+00\t\t8.1010e+00\t5.2501e-01\t8.9818e-01\t5.55e-03\n",
" 8\t-1.80001980e+00\t\t2.6704e+00\t4.7155e-01\t8.9818e-01\t4.59e-02\n",
" 9\t-1.96357204e+00\t\t7.2761e+00\t4.2354e-01\t8.9818e-01\t5.55e-03\n",
" 10\t-2.11047079e+00\t\t2.3985e+00\t3.8041e-01\t8.9818e-01\t4.59e-02\n",
" 11\t-2.24241178e+00\t\t6.5353e+00\t3.4168e-01\t8.9818e-01\t5.55e-03\n",
" 12\t-2.36091805e+00\t\t2.1542e+00\t3.0689e-01\t8.9818e-01\t4.59e-02\n",
" 13\t-2.46735757e+00\t\t5.8698e+00\t2.7564e-01\t8.9818e-01\t5.55e-03\n",
" 14\t-2.56295904e+00\t\t1.9349e+00\t2.4757e-01\t8.9818e-01\t4.59e-02\n",
" 15\t-2.64882601e+00\t\t5.2721e+00\t2.2236e-01\t8.9818e-01\t5.55e-03\n",
" 16\t-2.72594970e+00\t\t1.7379e+00\t1.9972e-01\t8.9818e-01\t4.59e-02\n",
" 17\t-2.79522036e+00\t\t4.7353e+00\t1.7939e-01\t8.9818e-01\t5.55e-03\n",
" 18\t-2.85743764e+00\t\t1.5609e+00\t1.6112e-01\t8.9818e-01\t4.59e-02\n",
" 19\t-2.91331972e+00\t\t4.2531e+00\t1.4471e-01\t8.9818e-01\t5.55e-03\n",
" 20\t-2.96351169e+00\t\t1.4020e+00\t1.2998e-01\t8.9818e-01\t4.59e-02\n",
" 21\t-3.00859292e+00\t\t3.8201e+00\t1.1674e-01\t8.9818e-01\t5.55e-03\n",
" 22\t-3.04908382e+00\t\t1.2592e+00\t1.0486e-01\t8.9818e-01\t4.59e-02\n",
" 23\t-3.08545179e+00\t\t3.4311e+00\t9.4180e-02\t8.9818e-01\t5.55e-03\n",
" 24\t-3.11811664e+00\t\t1.1310e+00\t8.4590e-02\t8.9818e-01\t4.59e-02\n",
" 25\t-3.14745543e+00\t\t3.0817e+00\t7.5977e-02\t8.9818e-01\t5.55e-03\n",
" 26\t-3.17380684e+00\t\t1.0158e+00\t6.8241e-02\t8.9818e-01\t4.59e-02\n",
" 27\t-3.19747506e+00\t\t2.7679e+00\t6.1293e-02\t8.9818e-01\t5.55e-03\n",
" 28\t-3.21873329e+00\t\t9.1240e-01\t5.5052e-02\t8.9818e-01\t4.59e-02\n",
" 29\t-3.23782693e+00\t\t2.4861e+00\t4.9446e-02\t8.9818e-01\t5.55e-03\n",
" 30\t-3.25497638e+00\t\t8.1950e-01\t4.4411e-02\t8.9818e-01\t4.59e-02\n",
" 31\t-3.27037961e+00\t\t2.2330e+00\t3.9889e-02\t8.9818e-01\t5.55e-03\n",
" 32\t-3.28421443e+00\t\t7.3606e-01\t3.5828e-02\t8.9818e-01\t4.59e-02\n",
" 33\t-3.29664054e+00\t\t2.0056e+00\t3.2180e-02\t8.9818e-01\t5.55e-03\n",
" 34\t-3.30780138e+00\t\t6.6111e-01\t2.8903e-02\t8.9818e-01\t4.59e-02\n",
" 35\t-3.31782578e+00\t\t1.8014e+00\t2.5960e-02\t8.9818e-01\t5.55e-03\n",
" 36\t-3.32682946e+00\t\t5.9379e-01\t2.3317e-02\t8.9818e-01\t4.59e-02\n",
" 37\t-3.33491635e+00\t\t1.6179e+00\t2.0943e-02\t8.9818e-01\t5.55e-03\n",
" 38\t-3.34217980e+00\t\t5.3333e-01\t1.8810e-02\t8.9818e-01\t4.59e-02\n",
" 39\t-3.34870366e+00\t\t1.4532e+00\t1.6895e-02\t8.9818e-01\t5.55e-03\n",
" 40\t-3.35456324e+00\t\t4.7902e-01\t1.5175e-02\t8.9818e-01\t4.59e-02\n",
" 41\t-3.35982618e+00\t\t1.3052e+00\t1.3630e-02\t8.9818e-01\t5.55e-03\n",
" 42\t-3.36455322e+00\t\t4.3025e-01\t1.2242e-02\t8.9818e-01\t4.59e-02\n",
" 43\t-3.36879894e+00\t\t1.1723e+00\t1.0996e-02\t8.9818e-01\t5.55e-03\n",
" 44\t-3.37261234e+00\t\t3.8644e-01\t9.8761e-03\t8.9818e-01\t4.59e-02\n",
" 45\t-3.37603745e+00\t\t1.0530e+00\t8.8706e-03\t8.9818e-01\t5.55e-03\n",
" 46\t-3.37911380e+00\t\t3.4709e-01\t7.9674e-03\t8.9819e-01\t4.59e-02\n",
" 47\t-3.38187691e+00\t\t9.4574e-01\t7.1562e-03\t8.9819e-01\t5.55e-03\n",
" 48\t-3.38435867e+00\t\t3.1175e-01\t6.4276e-03\t8.9819e-01\t4.59e-02\n",
" 49\t-3.38658772e+00\t\t8.4944e-01\t5.7732e-03\t8.9819e-01\t5.55e-03\n",
" 50\t-3.38858981e+00\t\t2.8000e-01\t5.1855e-03\t8.9819e-01\t4.59e-02\n",
" 51\t-3.39038803e+00\t\t7.6295e-01\t4.6576e-03\t8.9819e-01\t5.55e-03\n",
" 52\t-3.39200316e+00\t\t2.5149e-01\t4.1834e-03\t8.9819e-01\t4.59e-02\n",
" 53\t-3.39345382e+00\t\t6.8526e-01\t3.7575e-03\t8.9820e-01\t5.55e-03\n",
" 54\t-3.39475678e+00\t\t2.2589e-01\t3.3750e-03\t8.9820e-01\t4.59e-02\n",
" 55\t-3.39592706e+00\t\t6.1549e-01\t3.0314e-03\t8.9820e-01\t5.55e-03\n",
" 56\t-3.39697818e+00\t\t2.0289e-01\t2.7228e-03\t8.9820e-01\t4.59e-02\n",
" 57\t-3.39792227e+00\t\t5.5282e-01\t2.4457e-03\t8.9821e-01\t5.55e-03\n",
" 58\t-3.39877023e+00\t\t1.8223e-01\t2.1967e-03\t8.9821e-01\t4.59e-02\n",
" 59\t-3.39953185e+00\t\t4.9653e-01\t1.9731e-03\t8.9822e-01\t5.55e-03\n",
" 60\t-3.40021591e+00\t\t1.6367e-01\t1.7723e-03\t8.9822e-01\t4.59e-02\n",
" 61\t-3.40083033e+00\t\t4.4597e-01\t1.5919e-03\t8.9822e-01\t5.55e-03\n",
" 62\t-3.40138218e+00\t\t1.4701e-01\t1.4299e-03\t8.9823e-01\t4.59e-02\n",
" 63\t-3.40187784e+00\t\t4.0056e-01\t1.2844e-03\t8.9824e-01\t5.55e-03\n",
" 64\t-3.40232303e+00\t\t1.3204e-01\t1.1537e-03\t8.9824e-01\t4.59e-02\n",
" 65\t-3.40272289e+00\t\t3.5977e-01\t1.0363e-03\t8.9825e-01\t5.55e-03\n",
" 66\t-3.40308203e+00\t\t1.1859e-01\t9.3089e-04\t8.9826e-01\t4.59e-02\n",
" 67\t-3.40340460e+00\t\t3.2314e-01\t8.3618e-04\t8.9827e-01\t5.55e-03\n",
" 68\t-3.40369433e+00\t\t1.0652e-01\t7.5113e-04\t8.9828e-01\t4.59e-02\n",
" 69\t-3.40395456e+00\t\t2.9023e-01\t6.7473e-04\t8.9829e-01\t5.55e-03\n",
" 70\t-3.40418829e+00\t\t9.5671e-02\t6.0611e-04\t8.9830e-01\t4.59e-02\n",
" 71\t-3.40439822e+00\t\t2.6068e-01\t5.4448e-04\t8.9832e-01\t5.55e-03\n",
" 72\t-3.40458678e+00\t\t8.5930e-02\t4.8913e-04\t8.9833e-01\t4.59e-02\n",
" 73\t-3.40475613e+00\t\t2.3414e-01\t4.3941e-04\t8.9835e-01\t5.55e-03\n",
" 74\t-3.40490824e+00\t\t7.7180e-02\t3.9475e-04\t8.9837e-01\t4.59e-02\n",
" 75\t-3.40504487e+00\t\t2.1030e-01\t3.5464e-04\t8.9839e-01\t5.55e-03\n",
" 76\t-3.40516758e+00\t\t6.9321e-02\t3.1862e-04\t8.9842e-01\t4.59e-02\n",
" 77\t-3.40527779e+00\t\t1.8888e-01\t2.8626e-04\t8.9844e-01\t5.55e-03\n",
" 78\t-3.40537679e+00\t\t6.2263e-02\t2.5720e-04\t8.9848e-01\t4.59e-02\n",
" 79\t-3.40546570e+00\t\t1.6965e-01\t2.3109e-04\t8.9851e-01\t5.55e-03\n",
" 80\t-3.40554556e+00\t\t5.5923e-02\t2.0765e-04\t8.9855e-01\t4.59e-02\n",
" 81\t-3.40561729e+00\t\t1.5238e-01\t1.8659e-04\t8.9859e-01\t5.55e-03\n",
" 82\t-3.40568171e+00\t\t5.0229e-02\t1.6768e-04\t8.9863e-01\t4.59e-02\n",
" 83\t-3.40573958e+00\t\t1.3686e-01\t1.5069e-04\t8.9869e-01\t5.55e-03\n",
" 84\t-3.40579155e+00\t\t4.5114e-02\t1.3543e-04\t8.9874e-01\t4.59e-02\n",
" 85\t-3.40583823e+00\t\t1.2293e-01\t1.2173e-04\t8.9881e-01\t5.55e-03\n",
" 86\t-3.40588016e+00\t\t4.0520e-02\t1.0942e-04\t8.9888e-01\t4.59e-02\n",
" 87\t-3.40591782e+00\t\t1.1041e-01\t9.8361e-05\t8.9896e-01\t5.55e-03\n",
" 88\t-3.40595164e+00\t\t3.6395e-02\t8.8431e-05\t8.9905e-01\t4.59e-02\n",
" 89\t-3.40598202e+00\t\t9.9167e-02\t7.9512e-05\t8.9914e-01\t5.55e-03\n",
" 90\t-3.40600931e+00\t\t3.2689e-02\t7.1501e-05\t8.9925e-01\t4.59e-02\n",
" 91\t-3.40603382e+00\t\t8.9069e-02\t6.4306e-05\t8.9937e-01\t5.55e-03\n",
" 92\t-3.40605583e+00\t\t2.9360e-02\t5.7844e-05\t8.9951e-01\t4.59e-02\n",
" 93\t-3.40607560e+00\t\t8.0000e-02\t5.2040e-05\t8.9965e-01\t5.55e-03\n",
" 94\t-3.40609336e+00\t\t2.6371e-02\t4.6826e-05\t8.9982e-01\t4.59e-02\n",
" 95\t-3.40610931e+00\t\t7.1854e-02\t4.2144e-05\t9.0000e-01\t5.55e-03\n",
" 96\t-3.40612363e+00\t\t2.3685e-02\t3.7938e-05\t9.0021e-01\t4.59e-02\n",
" 97\t-3.40613650e+00\t\t6.4538e-02\t3.4161e-05\t9.0043e-01\t5.55e-03\n",
" 98\t-3.40614806e+00\t\t2.1274e-02\t3.0768e-05\t9.0068e-01\t4.59e-02\n",
" 99\t-3.40615844e+00\t\t5.7966e-02\t2.7720e-05\t9.0096e-01\t5.55e-03\n",
" 100\t-3.40616776e+00\t\t1.9108e-02\t2.4983e-05\t9.0126e-01\t4.59e-02\n",
" 101\t-3.40617614e+00\t\t5.2064e-02\t2.2525e-05\t9.0160e-01\t5.55e-03\n",
" 102\t-3.40618366e+00\t\t1.7162e-02\t2.0317e-05\t9.0197e-01\t4.59e-02\n",
" 103\t-3.40619041e+00\t\t4.6762e-02\t1.8334e-05\t9.0239e-01\t5.55e-03\n",
" 104\t-3.40619648e+00\t\t1.5414e-02\t1.6552e-05\t9.0284e-01\t4.59e-02\n",
" 105\t-3.40620193e+00\t\t4.2001e-02\t1.4953e-05\t9.0334e-01\t5.55e-03\n",
" 106\t-3.40620682e+00\t\t1.3845e-02\t1.3516e-05\t9.0390e-01\t4.59e-02\n",
" 107\t-3.40621122e+00\t\t3.7724e-02\t1.2225e-05\t9.0450e-01\t5.55e-03\n",
" 108\t-3.40621517e+00\t\t1.2435e-02\t1.1066e-05\t9.0517e-01\t4.59e-02\n",
" 109\t-3.40621872e+00\t\t3.3883e-02\t1.0024e-05\t9.0591e-01\t5.55e-03\n",
" 110\t-3.40622190e+00\t\t1.1169e-02\t9.0892e-06\t9.0671e-01\t4.59e-02\n",
" 111\t-3.40622476e+00\t\t3.0433e-02\t8.2492e-06\t9.0759e-01\t5.55e-03\n",
" 112\t-3.40622733e+00\t\t1.0032e-02\t7.4948e-06\t9.0854e-01\t4.59e-02\n",
" 113\t-3.40622964e+00\t\t2.7334e-02\t6.8172e-06\t9.0959e-01\t5.55e-03\n",
" 114\t-3.40623171e+00\t\t9.0102e-03\t6.2085e-06\t9.1072e-01\t4.59e-02\n",
" 115\t-3.40623358e+00\t\t2.4551e-02\t5.6619e-06\t9.1195e-01\t5.55e-03\n",
" 116\t-3.40623525e+00\t\t8.0928e-03\t5.1709e-06\t9.1328e-01\t4.59e-02\n",
" 117\t-3.40623675e+00\t\t2.2051e-02\t4.7299e-06\t9.1472e-01\t5.55e-03\n",
" 118\t-3.40623810e+00\t\t7.2688e-03\t4.3338e-06\t9.1626e-01\t4.59e-02\n",
" 119\t-3.40623931e+00\t\t1.9806e-02\t3.9781e-06\t9.1791e-01\t5.55e-03\n",
" 120\t-3.40624040e+00\t\t6.5286e-03\t3.6585e-06\t9.1968e-01\t4.59e-02\n",
" 121\t-3.40624138e+00\t\t1.7789e-02\t3.3715e-06\t9.2155e-01\t5.55e-03\n",
" 122\t-3.40624225e+00\t\t5.8639e-03\t3.1137e-06\t9.2354e-01\t4.59e-02\n",
" 123\t-3.40624304e+00\t\t1.5978e-02\t2.8822e-06\t9.2564e-01\t5.55e-03\n",
" 124\t-3.40624375e+00\t\t5.2668e-03\t2.6743e-06\t9.2785e-01\t4.59e-02\n",
" 125\t-3.40624439e+00\t\t1.4351e-02\t2.4875e-06\t9.3016e-01\t5.55e-03\n",
" 126\t-3.40624496e+00\t\t4.7305e-03\t2.3197e-06\t9.3256e-01\t4.59e-02\n",
" 127\t-3.40624547e+00\t\t1.2890e-02\t2.1690e-06\t9.3504e-01\t5.55e-03\n",
" 128\t-3.40624593e+00\t\t4.2488e-03\t2.0337e-06\t9.3761e-01\t4.59e-02\n",
" 129\t-3.40624635e+00\t\t1.1577e-02\t1.9122e-06\t9.4023e-01\t5.55e-03\n",
" 130\t-3.40624672e+00\t\t3.8162e-03\t1.8030e-06\t9.4290e-01\t4.59e-02\n",
" 131\t-3.40624705e+00\t\t1.0398e-02\t1.7049e-06\t9.4561e-01\t5.55e-03\n",
" 132\t-3.40624735e+00\t\t3.4276e-03\t1.6168e-06\t9.4834e-01\t4.59e-02\n",
" 133\t-3.40624762e+00\t\t9.3394e-03\t1.5377e-06\t9.5107e-01\t5.55e-03\n",
" 134\t-3.40624787e+00\t\t3.0786e-03\t1.4667e-06\t9.5379e-01\t4.59e-02\n",
" 135\t-3.40624808e+00\t\t8.3885e-03\t1.4029e-06\t9.5649e-01\t5.55e-03\n",
" 136\t-3.40624828e+00\t\t2.7651e-03\t1.3455e-06\t9.5914e-01\t4.59e-02\n",
" 137\t-3.40624845e+00\t\t7.5343e-03\t1.2941e-06\t9.6174e-01\t5.55e-03\n",
" 138\t-3.40624861e+00\t\t2.4836e-03\t1.2478e-06\t9.6427e-01\t4.59e-02\n",
" 139\t-3.40624875e+00\t\t6.7672e-03\t1.2063e-06\t9.6672e-01\t5.55e-03\n",
" 140\t-3.40624888e+00\t\t2.2307e-03\t1.1690e-06\t9.6908e-01\t4.59e-02\n",
" 141\t-3.40624899e+00\t\t6.0781e-03\t1.1355e-06\t9.7134e-01\t5.55e-03\n",
" 142\t-3.40624910e+00\t\t2.0035e-03\t1.1054e-06\t9.7350e-01\t4.59e-02\n",
" 143\t-3.40624919e+00\t\t5.4592e-03\t1.0784e-06\t9.7555e-01\t5.55e-03\n",
" 144\t-3.40624927e+00\t\t1.7995e-03\t1.0541e-06\t9.7749e-01\t4.59e-02\n",
" 145\t-3.40624934e+00\t\t4.9033e-03\t1.0323e-06\t9.7931e-01\t5.55e-03\n",
" 146\t-3.40624941e+00\t\t1.6163e-03\t1.0127e-06\t9.8103e-01\t4.59e-02\n",
" 147\t-3.40624947e+00\t\t4.4041e-03\t9.9510e-07\t9.8263e-01\t5.55e-03\n",
" 148\t-3.40624953e+00\t\t1.4517e-03\t9.7930e-07\t9.8412e-01\t4.59e-02\n",
" 149\t-3.40624957e+00\t\t3.9556e-03\t9.6511e-07\t9.8551e-01\t5.55e-03\n",
" 150\t-3.40624962e+00\t\t1.3039e-03\t9.5236e-07\t9.8679e-01\t4.59e-02\n",
" 151\t-3.40624966e+00\t\t3.5528e-03\t9.4091e-07\t9.8798e-01\t5.55e-03\n",
" 152\t-3.40624969e+00\t\t1.1711e-03\t9.3063e-07\t9.8907e-01\t4.59e-02\n",
" 153\t-3.40624972e+00\t\t3.1911e-03\t9.2140e-07\t9.9008e-01\t5.55e-03\n",
" 154\t-3.40624975e+00\t\t1.0519e-03\t9.1310e-07\t9.9100e-01\t4.59e-02\n",
" 155\t-3.40624978e+00\t\t2.8662e-03\t9.0565e-07\t9.9184e-01\t5.55e-03\n",
" 156\t-3.40624980e+00\t\t9.4478e-04\t8.9896e-07\t9.9261e-01\t4.59e-02\n",
" 157\t-3.40624982e+00\t\t2.5743e-03\t8.9295e-07\t9.9331e-01\t5.55e-03\n",
" 158\t-3.40624984e+00\t\t8.4858e-04\t8.8755e-07\t9.9395e-01\t4.59e-02\n",
" 159\t-3.40624985e+00\t\t2.3122e-03\t8.8270e-07\t9.9454e-01\t5.55e-03\n",
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" 188\t-3.40624999e+00\t\t1.6948e-04\t8.4183e-07\t9.9974e-01\t4.59e-02\n",
" 189\t-3.40624999e+00\t\t4.6179e-04\t8.4164e-07\t9.9977e-01\t5.55e-03\n",
" 190\t-3.40624999e+00\t\t1.5222e-04\t8.4146e-07\t9.9979e-01\t4.59e-02\n",
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" 192\t-3.40625000e+00\t\t1.3672e-04\t8.4117e-07\t9.9983e-01\t4.59e-02\n",
" 193\t-3.40625000e+00\t\t3.7254e-04\t8.4104e-07\t9.9985e-01\t5.55e-03\n",
" 194\t-3.40625000e+00\t\t1.2280e-04\t8.4093e-07\t9.9987e-01\t4.59e-02\n",
" 195\t-3.40625000e+00\t\t3.3460e-04\t8.4083e-07\t9.9988e-01\t5.55e-03\n",
" 196\t-3.40625000e+00\t\t1.1030e-04\t8.4074e-07\t9.9989e-01\t4.59e-02\n",
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" 207\t-3.40625000e+00\t\t1.7567e-04\t8.4018e-07\t9.9997e-01\t5.55e-03\n",
" 208\t-3.40625000e+00\t\t5.7907e-05\t8.4015e-07\t9.9997e-01\t4.59e-02\n",
" 209\t-3.40625000e+00\t\t1.5778e-04\t8.4013e-07\t9.9997e-01\t5.55e-03\n",
" 210\t-3.40625000e+00\t\t5.2011e-05\t8.4011e-07\t9.9998e-01\t4.59e-02\n",
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" 212\t-3.40625000e+00\t\t4.6715e-05\t8.4008e-07\t9.9998e-01\t4.59e-02\n",
" 213\t-3.40625000e+00\t\t1.2729e-04\t8.4006e-07\t9.9998e-01\t5.55e-03\n",
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" 223\t-3.40625000e+00\t\t7.4404e-05\t8.3998e-07\t9.9999e-01\t5.55e-03\n",
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" 232\t-3.40625000e+00\t\t1.5961e-05\t8.3995e-07\t1.0000e+00\t4.59e-02\n",
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" 236\t-3.40625000e+00\t\t1.2876e-05\t8.3994e-07\t1.0000e+00\t4.59e-02\n",
" 237\t-3.40625000e+00\t\t3.5085e-05\t8.3994e-07\t1.0000e+00\t5.55e-03\n",
" 238\t-3.40625000e+00\t\t1.1565e-05\t8.3994e-07\t1.0000e+00\t4.59e-02\n",
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" 246\t-3.40625000e+00\t\t7.5267e-06\t8.3994e-07\t1.0000e+00\t4.59e-02\n",
" 247\t-3.40625000e+00\t\t2.0508e-05\t8.3994e-07\t1.0000e+00\t5.55e-03\n",
" 248\t-3.40625000e+00\t\t6.7603e-06\t8.3994e-07\t1.0000e+00\t4.59e-02\n",
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" 252\t-3.40625000e+00\t\t5.4537e-06\t8.3993e-07\t1.0000e+00\t4.59e-02\n",
" 253\t-3.40625000e+00\t\t1.4860e-05\t8.3993e-07\t1.0000e+00\t5.55e-03\n",
" 254\t-3.40625000e+00\t\t4.8983e-06\t8.3993e-07\t1.0000e+00\t4.59e-02\n",
" 255\t-3.40625000e+00\t\t1.3347e-05\t8.3993e-07\t1.0000e+00\t5.55e-03\n",
" 256\t-3.40625000e+00\t\t4.3996e-06\t8.3993e-07\t1.0000e+00\t4.59e-02\n",
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" 268\t-3.40625000e+00\t\t2.3098e-06\t8.3993e-07\t1.0000e+00\t4.59e-02\n",
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" 284\t-3.40625000e+00\t\t9.7830e-07\t8.3993e-07\t1.0000e+00\n"
]
},
{
"data": {
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([-1.287499672960787, 1.2124996707732325], \"optimal\")"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"H = Float32[1 1; 1 -1]\n",
"D = diagm([100, 1])\n",
"Q = H' * D * H\n",
"q = Float32[10, 5]\n",
"xStar = Q \\ -q\n",
"v = 0.5 * dot(xStar, Q, xStar) + q' * xStar\n",
"v |> display\n",
"gmq(Q, q, fStar=v, Plotf=1, printing=true) # 16 iterations instead of 12 but useful for higher dimensions"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "01009aed-de0a-4052-bcc7-2e59e42f3d8a",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gradient method for quadratic functions (fixed stepsize)\n",
"iter\tf(x)\t\t\t||g||\t\tgap\t\trate\n",
"\n",
" 1\t0.00000000e+00\t\t1.1180e+01\t1.0000e+00\t\t\n",
" 2\t-1.33565337e-01\t\t1.0959e+01\t9.6079e-01\t9.6079e-01\n",
" 3\t-2.61893331e-01\t\t1.0742e+01\t9.2311e-01\t9.6079e-01\n",
" 4\t-3.85189347e-01\t\t1.0529e+01\t8.8692e-01\t9.6079e-01\n",
" 5\t-5.03650700e-01\t\t1.0321e+01\t8.5214e-01\t9.6079e-01\n",
" 6\t-6.17466965e-01\t\t1.0116e+01\t8.1873e-01\t9.6079e-01\n",
" 7\t-7.26820285e-01\t\t9.9160e+00\t7.8662e-01\t9.6079e-01\n",
" 8\t-8.31885660e-01\t\t9.7197e+00\t7.5578e-01\t9.6079e-01\n",
" 9\t-9.32831227e-01\t\t9.5272e+00\t7.2614e-01\t9.6079e-01\n",
" 10\t-1.02981853e+00\t\t9.3385e+00\t6.9767e-01\t9.6079e-01\n",
" 11\t-1.12300279e+00\t\t9.1536e+00\t6.7031e-01\t9.6079e-01\n",
" 12\t-1.21253312e+00\t\t8.9724e+00\t6.4403e-01\t9.6079e-01\n",
" 13\t-1.29855280e+00\t\t8.7947e+00\t6.1877e-01\t9.6079e-01\n",
" 14\t-1.38119949e+00\t\t8.6205e+00\t5.9451e-01\t9.6079e-01\n",
" 15\t-1.46060545e+00\t\t8.4498e+00\t5.7120e-01\t9.6079e-01\n",
" 16\t-1.53689775e+00\t\t8.2825e+00\t5.4880e-01\t9.6079e-01\n",
" 17\t-1.61019850e+00\t\t8.1185e+00\t5.2728e-01\t9.6079e-01\n",
" 18\t-1.68062499e+00\t\t7.9577e+00\t5.0661e-01\t9.6079e-01\n",
" 19\t-1.74828992e+00\t\t7.8002e+00\t4.8674e-01\t9.6079e-01\n",
" 20\t-1.81330159e+00\t\t7.6457e+00\t4.6766e-01\t9.6079e-01\n",
" 21\t-1.87576403e+00\t\t7.4943e+00\t4.4932e-01\t9.6079e-01\n",
" 22\t-1.93577721e+00\t\t7.3459e+00\t4.3170e-01\t9.6079e-01\n",
" 23\t-1.99343715e+00\t\t7.2004e+00\t4.1477e-01\t9.6079e-01\n",
" 24\t-2.04883615e+00\t\t7.0579e+00\t3.9851e-01\t9.6079e-01\n",
" 25\t-2.10206284e+00\t\t6.9181e+00\t3.8288e-01\t9.6079e-01\n",
" 26\t-2.15320242e+00\t\t6.7811e+00\t3.6787e-01\t9.6079e-01\n",
" 27\t-2.20233673e+00\t\t6.6468e+00\t3.5344e-01\t9.6079e-01\n",
" 28\t-2.24954439e+00\t\t6.5152e+00\t3.3958e-01\t9.6079e-01\n",
" 29\t-2.29490094e+00\t\t6.3862e+00\t3.2627e-01\t9.6079e-01\n",
" 30\t-2.33847899e+00\t\t6.2597e+00\t3.1347e-01\t9.6079e-01\n",
" 31\t-2.38034826e+00\t\t6.1358e+00\t3.0118e-01\t9.6079e-01\n",
" 32\t-2.42057575e+00\t\t6.0143e+00\t2.8937e-01\t9.6079e-01\n",
" 33\t-2.45922585e+00\t\t5.8952e+00\t2.7803e-01\t9.6079e-01\n",
" 34\t-2.49636042e+00\t\t5.7784e+00\t2.6712e-01\t9.6079e-01\n",
" 35\t-2.53203886e+00\t\t5.6640e+00\t2.5665e-01\t9.6079e-01\n",
" 36\t-2.56631829e+00\t\t5.5519e+00\t2.4659e-01\t9.6079e-01\n",
" 37\t-2.59925356e+00\t\t5.4419e+00\t2.3692e-01\t9.6079e-01\n",
" 38\t-2.63089738e+00\t\t5.3342e+00\t2.2763e-01\t9.6079e-01\n",
" 39\t-2.66130038e+00\t\t5.2285e+00\t2.1870e-01\t9.6079e-01\n",
" 40\t-2.69051123e+00\t\t5.1250e+00\t2.1013e-01\t9.6079e-01\n",
" 41\t-2.71857666e+00\t\t5.0235e+00\t2.0189e-01\t9.6079e-01\n",
" 42\t-2.74554160e+00\t\t4.9240e+00\t1.9397e-01\t9.6079e-01\n",
" 43\t-2.77144920e+00\t\t4.8265e+00\t1.8636e-01\t9.6079e-01\n",
" 44\t-2.79634090e+00\t\t4.7310e+00\t1.7906e-01\t9.6079e-01\n",
" 45\t-2.82025656e+00\t\t4.6373e+00\t1.7204e-01\t9.6079e-01\n",
" 46\t-2.84323445e+00\t\t4.5455e+00\t1.6529e-01\t9.6079e-01\n",
" 47\t-2.86531132e+00\t\t4.4554e+00\t1.5881e-01\t9.6079e-01\n",
" 48\t-2.88652252e+00\t\t4.3672e+00\t1.5258e-01\t9.6079e-01\n",
" 49\t-2.90690200e+00\t\t4.2807e+00\t1.4660e-01\t9.6079e-01\n",
" 50\t-2.92648235e+00\t\t4.1960e+00\t1.4085e-01\t9.6079e-01\n",
" 51\t-2.94529492e+00\t\t4.1129e+00\t1.3533e-01\t9.6079e-01\n",
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" 739\t-3.40625000e+00\t\t4.3457e-06\t8.3993e-07\t1.0000e+00\n",
" 740\t-3.40625000e+00\t\t4.2596e-06\t8.3993e-07\t1.0000e+00\n",
" 741\t-3.40625000e+00\t\t4.1752e-06\t8.3993e-07\t1.0000e+00\n",
" 742\t-3.40625000e+00\t\t4.0926e-06\t8.3993e-07\t1.0000e+00\n",
" 743\t-3.40625000e+00\t\t4.0115e-06\t8.3993e-07\t1.0000e+00\n",
" 744\t-3.40625000e+00\t\t3.9321e-06\t8.3993e-07\t1.0000e+00\n",
" 745\t-3.40625000e+00\t\t3.8542e-06\t8.3993e-07\t1.0000e+00\n",
" 746\t-3.40625000e+00\t\t3.7779e-06\t8.3993e-07\t1.0000e+00\n",
" 747\t-3.40625000e+00\t\t3.7031e-06\t8.3993e-07\t1.0000e+00\n",
" 748\t-3.40625000e+00\t\t3.6298e-06\t8.3993e-07\t1.0000e+00\n",
" 749\t-3.40625000e+00\t\t3.5579e-06\t8.3993e-07\t1.0000e+00\n",
" 750\t-3.40625000e+00\t\t3.4874e-06\t8.3993e-07\t1.0000e+00\n",
" 751\t-3.40625000e+00\t\t3.4184e-06\t8.3993e-07\t1.0000e+00\n",
" 752\t-3.40625000e+00\t\t3.3507e-06\t8.3993e-07\t1.0000e+00\n",
" 753\t-3.40625000e+00\t\t3.2843e-06\t8.3993e-07\t1.0000e+00\n",
" 754\t-3.40625000e+00\t\t3.2193e-06\t8.3993e-07\t1.0000e+00\n",
" 755\t-3.40625000e+00\t\t3.1556e-06\t8.3993e-07\t1.0000e+00\n",
" 756\t-3.40625000e+00\t\t3.0931e-06\t8.3993e-07\t1.0000e+00\n",
" 757\t-3.40625000e+00\t\t3.0318e-06\t8.3993e-07\t1.0000e+00\n",
" 758\t-3.40625000e+00\t\t2.9718e-06\t8.3993e-07\t1.0000e+00\n",
" 759\t-3.40625000e+00\t\t2.9129e-06\t8.3993e-07\t1.0000e+00\n",
" 760\t-3.40625000e+00\t\t2.8553e-06\t8.3993e-07\t1.0000e+00\n",
" 761\t-3.40625000e+00\t\t2.7987e-06\t8.3993e-07\t1.0000e+00\n",
" 762\t-3.40625000e+00\t\t2.7433e-06\t8.3993e-07\t1.0000e+00\n",
" 763\t-3.40625000e+00\t\t2.6890e-06\t8.3993e-07\t1.0000e+00\n",
" 764\t-3.40625000e+00\t\t2.6357e-06\t8.3993e-07\t1.0000e+00\n",
" 765\t-3.40625000e+00\t\t2.5835e-06\t8.3993e-07\t1.0000e+00\n",
" 766\t-3.40625000e+00\t\t2.5324e-06\t8.3993e-07\t1.0000e+00\n",
" 767\t-3.40625000e+00\t\t2.4822e-06\t8.3993e-07\t1.0000e+00\n",
" 768\t-3.40625000e+00\t\t2.4331e-06\t8.3993e-07\t1.0000e+00\n",
" 769\t-3.40625000e+00\t\t2.3849e-06\t8.3993e-07\t1.0000e+00\n",
" 770\t-3.40625000e+00\t\t2.3377e-06\t8.3993e-07\t1.0000e+00\n",
" 771\t-3.40625000e+00\t\t2.2914e-06\t8.3993e-07\t1.0000e+00\n",
" 772\t-3.40625000e+00\t\t2.2460e-06\t8.3993e-07\t1.0000e+00\n",
" 773\t-3.40625000e+00\t\t2.2015e-06\t8.3993e-07\t1.0000e+00\n",
" 774\t-3.40625000e+00\t\t2.1579e-06\t8.3993e-07\t1.0000e+00\n",
" 775\t-3.40625000e+00\t\t2.1152e-06\t8.3993e-07\t1.0000e+00\n",
" 776\t-3.40625000e+00\t\t2.0733e-06\t8.3993e-07\t1.0000e+00\n",
" 777\t-3.40625000e+00\t\t2.0323e-06\t8.3993e-07\t1.0000e+00\n",
" 778\t-3.40625000e+00\t\t1.9920e-06\t8.3993e-07\t1.0000e+00\n",
" 779\t-3.40625000e+00\t\t1.9526e-06\t8.3993e-07\t1.0000e+00\n",
" 780\t-3.40625000e+00\t\t1.9139e-06\t8.3993e-07\t1.0000e+00\n",
" 781\t-3.40625000e+00\t\t1.8760e-06\t8.3993e-07\t1.0000e+00\n",
" 782\t-3.40625000e+00\t\t1.8389e-06\t8.3993e-07\t1.0000e+00\n",
" 783\t-3.40625000e+00\t\t1.8024e-06\t8.3993e-07\t1.0000e+00\n",
" 784\t-3.40625000e+00\t\t1.7668e-06\t8.3993e-07\t1.0000e+00\n",
" 785\t-3.40625000e+00\t\t1.7318e-06\t8.3993e-07\t1.0000e+00\n",
" 786\t-3.40625000e+00\t\t1.6975e-06\t8.3993e-07\t1.0000e+00\n",
" 787\t-3.40625000e+00\t\t1.6639e-06\t8.3993e-07\t1.0000e+00\n",
" 788\t-3.40625000e+00\t\t1.6309e-06\t8.3993e-07\t1.0000e+00\n",
" 789\t-3.40625000e+00\t\t1.5986e-06\t8.3993e-07\t1.0000e+00\n",
" 790\t-3.40625000e+00\t\t1.5670e-06\t8.3993e-07\t1.0000e+00\n",
" 791\t-3.40625000e+00\t\t1.5359e-06\t8.3993e-07\t1.0000e+00\n",
" 792\t-3.40625000e+00\t\t1.5055e-06\t8.3993e-07\t1.0000e+00\n",
" 793\t-3.40625000e+00\t\t1.4757e-06\t8.3993e-07\t1.0000e+00\n",
" 794\t-3.40625000e+00\t\t1.4465e-06\t8.3993e-07\t1.0000e+00\n",
" 795\t-3.40625000e+00\t\t1.4178e-06\t8.3993e-07\t1.0000e+00\n",
" 796\t-3.40625000e+00\t\t1.3898e-06\t8.3993e-07\t1.0000e+00\n",
" 797\t-3.40625000e+00\t\t1.3622e-06\t8.3993e-07\t1.0000e+00\n",
" 798\t-3.40625000e+00\t\t1.3353e-06\t8.3993e-07\t1.0000e+00\n",
" 799\t-3.40625000e+00\t\t1.3088e-06\t8.3993e-07\t1.0000e+00\n",
" 800\t-3.40625000e+00\t\t1.2829e-06\t8.3993e-07\t1.0000e+00\n",
" 801\t-3.40625000e+00\t\t1.2575e-06\t8.3993e-07\t1.0000e+00\n",
" 802\t-3.40625000e+00\t\t1.2326e-06\t8.3993e-07\t1.0000e+00\n",
" 803\t-3.40625000e+00\t\t1.2082e-06\t8.3993e-07\t1.0000e+00\n",
" 804\t-3.40625000e+00\t\t1.1843e-06\t8.3993e-07\t1.0000e+00\n",
" 805\t-3.40625000e+00\t\t1.1608e-06\t8.3993e-07\t1.0000e+00\n",
" 806\t-3.40625000e+00\t\t1.1378e-06\t8.3993e-07\t1.0000e+00\n",
" 807\t-3.40625000e+00\t\t1.1153e-06\t8.3993e-07\t1.0000e+00\n",
" 808\t-3.40625000e+00\t\t1.0932e-06\t8.3993e-07\t1.0000e+00\n",
" 809\t-3.40625000e+00\t\t1.0716e-06\t8.3993e-07\t1.0000e+00\n",
" 810\t-3.40625000e+00\t\t1.0504e-06\t8.3993e-07\t1.0000e+00\n",
" 811\t-3.40625000e+00\t\t1.0296e-06\t8.3993e-07\t1.0000e+00\n",
" 812\t-3.40625000e+00\t\t1.0092e-06\t8.3993e-07\t1.0000e+00\n",
" 813\t-3.40625000e+00\t\t9.8918e-07\t8.3993e-07\t1.0000e+00"
]
},
{
"data": {
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([-1.2874998860879332, 1.2124998927235893], \"optimal\")"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gmq(Q, q, fStar=v, alpha=2/(200+2), Plotf=1, printing=true) # 16 iterations instead of 12 but useful for higher dimensions"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "881f1f83-bde5-4ac3-81ec-57fd852e3b0e",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.9.3",
"language": "julia",
"name": "julia-1.9"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
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