Fitting vector of n length

Hi!

I'm trying to solve a problem involving a least square estimate. When defining input I try to fit my input vector to a following vector, phi which I use in the least square algorithm. My input vector, A, is simply [1xn].

My phi vector looks like this:

                [ u(1)^2, u(1), 1; 
     u(2)^2, u(2), 1; 
                  .        .
                  .        .
    u(n-1)^2, u(n-1), 1;
    u(n)^2, u(n), 1];

Is there an easy and quick way to populate my phi vector using corresponding elements from A, as illustrated?

Thanks!

Answer 1

[Azzi Abdelmalek]

u=[1 2 3 4 5 6 7 8 9 10]'
n=numel(u)
x=u(1:n); 
phi=[x.^2  x ones(n,1)]

%or

phi=bsxfun(@power, repmat(u(1:n),1,3),2:-1:0)

[Andreas Volden]

Spot on. Thank you!