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formatting tweak

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Steven G. Johnson 2023-04-09 17:05:33 -04:00
parent 0d5c8775e4
commit f374320573
1 changed files with 2 additions and 2 deletions
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psets/pset5.ipynb
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@ -20,7 +20,7 @@
"Consider the following optimization problem:\n",
"$$\n",
"\\min_{x \\in \\mathbb{R}^2} x_1 \\\\\n",
"\\mbox{subject to } x_2 \\le x_1^3 \\mbox{ and } x_2 \\ge 0 \\, .\n",
"\\mbox{ subject to } x_2 \\le x_1^3 \\mbox{ and } x_2 \\ge 0 \\, .\n",
"$$\n",
"\n",
"**(a)** Draw a sketch of the feasible set in the $x_1, x_2$ plane and indicate the optimum $x_*$.\n",
@ -40,7 +40,7 @@
"Consider the convex problem:\n",
"$$\n",
"\\min_{x\\in \\mathbb{R}^n} \\Vert b - Ax \\Vert_2^2 \\\\\n",
"\\mbox{subject to } \\Vert x \\Vert_2^2 \\le r^2\n",
"\\mbox{ subject to } \\Vert x \\Vert_2^2 \\le r^2\n",
"$$\n",
"for some $r > 0$, $m \\times n$ matrix $A$ (of rank $n$), and $b \\in \\mathbb{R}^m$ — that is, least-squares optimization with the solution constrained to lie inside a sphere of radius $r$.\n",
"\n",