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Thread Subject:
max min problem

Subject: max min problem

From: Frank

Date: 16 Oct, 2011 18:27:14

Message: 1 of 4

Hello,

Let f(x) = min(|z_1^H x| , |z_2^H x|, ..., |z_M^H x|) where z_i and x are complex vectors, ^H denotes conjugate transpose and |a| means norm of a.

I want to calculate the following:

maximize_x f(x)

How can I achieve this?

Thanks.

Frank

Subject: max min problem

From: Bruno Luong

Date: 16 Oct, 2011 21:49:10

Message: 2 of 4

"Frank " <allinone_2003@yahoo.com.hk> wrote in message <j7f7m1$nh0$1@newscl01ah.mathworks.com>...
> Hello,
>
> Let f(x) = min(|z_1^H x| , |z_2^H x|, ..., |z_M^H x|) where z_i and x are complex vectors, ^H denotes conjugate transpose and |a| means norm of a.
>
> I want to calculate the following:
>
> maximize_x f(x)
>
> How can I achieve this?

Very easy:

x = inf(1,n) % n is the dimension

Bruno

Subject: max min problem

From: Frank

Date: 17 Oct, 2011 00:36:26

Message: 3 of 4

I am sorry that I missed the constraint that |x| = 1.

Therefore, x = inf(1,n) cannot be the solution.

Can anyone help?

Thanks.


"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <j7fjgm$rs1$1@newscl01ah.mathworks.com>...
> "Frank " <allinone_2003@yahoo.com.hk> wrote in message <j7f7m1$nh0$1@newscl01ah.mathworks.com>...
> > Hello,
> >
> > Let f(x) = min(|z_1^H x| , |z_2^H x|, ..., |z_M^H x|) where z_i and x are complex vectors, ^H denotes conjugate transpose and |a| means norm of a.
> >
> > I want to calculate the following:
> >
> > maximize_x f(x)
> >
> > How can I achieve this?
>
> Very easy:
>
> x = inf(1,n) % n is the dimension
>
> Bruno

Subject: max min problem

From: Bruno Luong

Date: 17 Oct, 2011 07:12:11

Message: 4 of 4

"Frank " <allinone_2003@yahoo.com.hk> wrote in message <j7ftaa$q7m$1@newscl01ah.mathworks.com>...
> I am sorry that I missed the constraint that |x| = 1.
>
> Therefore, x = inf(1,n) cannot be the solution.
>
> Can anyone help?
>

help fminimax

You might also google search for TRILATERATION

Bruno

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