Minimize f$($x$)$ using $104$ iterations of the subgradient method starting with t$=0$ and x$0=0.$

Part $($A$)$

Use a decreasing step size of $\backslash$eta t$=$c$/$t with values for c that $($roughly$)$ optimize the empirical performance. Separately record the $($unsquared$)$ error $\backslash |$ Axt$$b$\backslash |$ and the regularization term $\backslash |$ x$\backslash |1.$

Part $($B$)$

Now use a more slowly decreasing step size of $\backslash$eta t$=$c$/$t$+1$ with values for c that $($roughly$)$ optimize the empirical performance. Separately record the $($unsquared$)$ error $\backslash |$ Axt$$b$\backslash |$ and the regularization term $\backslash |$ x$\backslash |1.$