Double for Loop to find root of polynomial

Hi,

I'm trying to code a double for loop for the variables M and L, allowing me to find the roots of the polynomial at each point for 0<M, L<1. I'm very new to MATLAB and can't really get anything useful.

Thanks.

Answer 1

[John D'Errico]

lambda=2;
Quadratic_For_Omega_Squared=@(L,M)[1,-(L^2 +2 * M^2 +1 -lambda), +M^2 * (L^2 +M^2 -lambda)];
L=1:-0.1:0;
M=1:-0.1:0;
R = zeros(numel(L),numel(M),2);
for k1 = 1:numel(L);
    for k2 = 1:numel(M);
        p = Quadratic_For_Omega_Squared(L(k1),M(k2));
        R(k1,k2,:) = roots(p);
    end
end

[Alexander Kimbley]

Thanks,

is there anyway I could extend this question for the code to present a graph in (L,M) space where each point is a certain colour depending on how many roots at that point are postive, i.e. 0,1 or 2.

Thanks.