finding the optimizing solution

hey everyone.

I was given a 18*18 Matrix "A", a 18*1 vector "q" and was asked to solve Aq=v and find the vector "v".

after finding the vector "v", I was asked to find a new vector "q*" that minimizes the 2 norm of ||v-Aq*||, and for one thing I dont really understand what am I looking for, and also how to find it.

thanks in advance.

Answer 1

[Stephan]

Hi,

use:

q1 = A\v

Since you calculated v by using A*q the result will be:

q1 = q
norm(v-A*q) = 0
norm(v-A*q1) = norm(v-A*q) = 0

Best regards

Stephan

[Yonatan Axelrad]

cheers for the answer and th quick response

[Stephan]

Did you notice that you can accept and/or vote for useful answers?

[Yonatan Axelrad]

I did now haha