Homework 3: Contours
Refer to
people.emich.edu/aross15/math560/nlpmatlab
for a copy of something like the stuff we did in class.
I added some stuff to it, so read it even if you feel like
you have a handle on what we did in class.
#1: I mentioned that the contour plot we did (for Ordinary Least
Squares) shows that if you zoom in close enough, every objective
function looks like ellipsoids.
Was I being sneaky, by using
an objective function that is exactly quadratic?
Show that
this objective function is or is not exactly quadratic, using
symbolic arguments rather than numeric investigation.
#2: Redo the contour plot using the sum of absolute values,
rather than the sum of squares.
You might need to adjust the
resolution of the grid we compute, or the # or value of contours
to get a pretty picture.
Hint: abs(stuff) computes the absolute value of each element in
a vector or matrix named "stuff", giving you back a vector or
matrix of the same size.
For example,
abs([3 4 5 0 10]) = [3 4 5 0 10]
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 '08
 staff
 matlab, Derivative, contour plot

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