Find the min value of the 1 norm x subject to 2 norm x

#### Top Answer

For any ( x , y ) ∈ R 2 , we have ∣ ∣ ( x , y ) ∣ ∣ 2 = √ x 2 ... View the full answer

- hi.. im wondering if $||x||_{infty} = max (|x|, |y|) since according to theorem that ||x||_{1} = |x|+|y| so can we => ||x||_{1} = max (|x|, |y|) ? thank you
- danie0723
- May 02, 2018 at 2:27am

- is it ||x||_1=|x|+|y| in your definition? Then i would have to redo it. In that case answer would be minimum value 0 , which is attained at 3pi/4 and -pi/4
- Mathwarrior
- May 02, 2018 at 5:31am