hermite.m

various matlab programs to slove various problems

function [herm] = hermite(x,y,dy,z)
n = max(size(x)); m = max(size(z)); herm = [];
for j = 1:m
  xx = z(j); hxv = 0;
  for i = 1:n,
    den = 1; num = 1; xn = x(i); derLi = 0;
    for k = 1:n,
       if k ~= i, num = num*(xx-x(k)); arg = xn-x(k); 
          den = den*arg; derLi = derLi+1/arg; 
       end
     end
     Lix2 = (num/den)^2; p = (1-2*(xx-xn)*derLi)*Lix2;
     q = (xx-xn)*Lix2; hxv = hxv+(y(i)*p+dy(i)*q);
    end
    herm = [herm, hxv];
end
return