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first commit with current lessons
2023-10-29 02:06:02 +01:00
{
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"gmq (generic function with 1 method)"
]
},
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"include(\"GMQ.jl\")"
]
},
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"text": [
"Gradient method for quadratic functions (optimal stepsize)\n",
"iter\tf(x)\t\t\t||g||\t\talpha\n",
"\n",
" 1\t0.00000000e+00\t\t1.1180e+01\t2.27e-01\n",
" 2\t-1.42045455e+01\t\t3.0492e+00\t1.32e-01\n",
" 3\t-1.48162244e+01\t\t4.8145e-01\t2.27e-01\n",
" 4\t-1.48425647e+01\t\t1.3130e-01\t1.32e-01\n",
" 5\t-1.48436990e+01\t\t2.0732e-02\t2.27e-01\n",
" 6\t-1.48437478e+01\t\t5.6543e-03\t1.32e-01\n",
" 7\t-1.48437499e+01\t\t8.9278e-04\t2.27e-01\n",
" 8\t-1.48437500e+01\t\t2.4349e-04\t1.32e-01\n",
" 9\t-1.48437500e+01\t\t3.8445e-05\t2.27e-01\n",
" 10\t-1.48437500e+01\t\t1.0485e-05\t1.32e-01\n",
" 11\t-1.48437500e+01\t\t1.6555e-06\t2.27e-01\n",
" 12\t-1.48437500e+01\t\t4.5151e-07\n"
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([-2.187500012620011, -1.5624999368999484], \"optimal\")"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = [Float32(6) -2; -2 6]\n",
"gmq(a, [10, 5], Plotf=2, printing=true)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "21ce16b4-9ead-4de1-8944-d85c241b2348",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"plotQ (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(\"plotQ.jl\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "2f4a0d62-5a37-428e-b15d-df494ee1502b",
"metadata": {
"collapsed": true,
"jupyter": {
"outputs_hidden": true
},
"scrolled": true
},
"outputs": [
{
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([-2.1874999648171993, -1.5624999537068414], \"optimal\")"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Q = [6 -2; -2 6];\n",
"q = [10; 5];\n",
"range = ((-3, -3), (-1, 0));\n",
"plt = plotQ(Q, q, range);\n",
"plt |> display\n",
"gmq(Q, q, x=[-1;0]; plt=plt, Plotf=2, printing=false)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "2d5bef71-41c8-407b-a282-793cee40b68a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"genQf (generic function with 1 method)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(\"genQf.jl\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "bf4039cc-6753-4e73-a758-6ecb31c1399d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2×2 Matrix{Float64}:\n",
" 0.000872202 0.000493966\n",
" 0.000493966 0.00167967"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"2-element Vector{Float64}:\n",
" 9.712457805505993e-5\n",
" 0.0011292225022926337"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"-0.0004175552211719586"
]
},
"metadata": {},
"output_type": "display_data"
},
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]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([0.32259310290080645, -0.7658442469210476], \"unbounded\")"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Q, q, v = genQf(2, v=0, ecc=0.5)\n",
"map(display, [Q, q, v])\n",
"plt = plotQ(Q, q, ((-10, -10), (10, 10)))\n",
"plt |> display\n",
"gmq(Q, q; plt=plt, Plotf=2, printing=false)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "4af2f35f-3c04-4860-89e6-9d23fc2fb34f",
"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",
"version": "1.9.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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