typos fixed in hw4 pr3

[Wooyoung Lee]

Hi everyone,

A few typos in hw4 pr3 are fixed and the pdf is updated accordingly.

Thanks to Carl Doersch and Yu Zhao for pointing these out!

Wooyoung

[Pumbaa]

For Q3 1c, does it seem like we need additional conditions on q for the proof. For example, if q = 0, the proof seems impossible.

Pumbaa

[Lu Xie]

I think we don't have to worry about q = 0 since we are dealing with ||x|| > 1 in Q3.1c. We know that ||x|| = 0 if q = 0.

Lu

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[Pumbaa]

This is brings up another weird point:  it seems that || x || > 1 meets neither Equation (3) nor (4), and imply infeasibility itself.

[Lu Xie]

It's x not x-star :)

First we try x = -P^-1*q. If q=0, we have x=0, voila, problem solved. If q~=0 but ||x|| <= 1, still good. If ||x|| > 1, we then need to proceed to Q3.1c and find x^* that meets the KKT conditions incl. ||x^*|| <= 1.

So when we are working on Q3.1c, we have already ruled out q=0.

Lu

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[Pumbaa]

Sweet. Thanks, Lu!

Pumbaa