On 5/24/2012 3:45 AM, Frank wrote: > Thanks for your reply. > > However, we want x = [x_1, x_2, ... x_M]^T with |x_1|=|x_2| = ...=|x_M| = 1. > Your solution cannot satisfy the constraints. > >
There is only one solution if A is not singular?
Whatever it comes out, I have no control over that.
As an example, you are like asking to find a solution to
4 * x = 2 ----- (1)
With the constraint that the solution is |x| = 1
But the solution is 0.5. There is only one solution.
I do not know how to give you a solution to (1) which comes out to be satisfy your constraint that is should be something else.
So, I do not understand the question:
"Solve this equation which, has a unique solution, such that the solution has this property and nothing else"
If your equation does not have a unique solution, then may be may be there is a way to find all the solutions (which can be infinite of them), and then pick the one which satisfy your requirements. I was assuming your are solving Ax=b such that A is not singular.
> > > "Nasser M. Abbasi"<email@example.com> wrote in message<firstname.lastname@example.org>... >> On 5/24/2012 2:39 AM, Frank wrote: >>> Hello. I have a matrix equation problem. >>> >>> Ax = b, |x_i| = 1 >>> >>> >> >>> How can I solve this problem? >> >> A\b >> >>> Is the solution unique? >> >> if A is not singular, yes. >> >> --Nasser >>