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clarification

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Steven G. Johnson 2023-04-09 16:53:07 -04:00 committed by GitHub
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psets/pset5.ipynb
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@ -61,7 +61,7 @@
"```jl\n",
"d²gdλ²(λ; r=0.5) = ForwardDiff.derivative(λ -> dgdλ(λ; r=0.5), λ)\n",
"```\n",
"Use this to implement a Newton iteration to maximize $g(\\lambda)$ by finding a root of $g'(\\lambda)$, starting with an initial guess of $\\lambda=0$, for $r = 0.5$. (It should converge in only a few iterations.) To at least 8 significant digits, give the resulting dual optimum $\\lambda_*$ and the primal optimum $x_*$ (strong duality holds in this convex problem!), and check that $x_*$ is feasible."
"Use this to implement a Newton iteration to maximize $g(\\lambda)$ (for $$\\lambda \\ge 0$$) by finding a root of $g'(\\lambda)$, starting with an initial guess of $\\lambda=0$, for $r = 0.5$. (It should converge in only a few iterations. The solution should have $\\lambda > 0$ in this case because \_\_\_\_\_\_.) To at least 8 significant digits, give the resulting dual optimum $\\lambda_*$ and the primal optimum $x_*$ (strong duality holds in this convex problem!), and check that $x_*$ is feasible."
]
},
{