MATLAB: Calculating of multivariate symbolic expression with numeric data

multivariate symbolic numeric matrices matrix

HI
I need to calculate integral over a Multivariate function,
the function is a product of some 3×3 "analytic" matrices which can be easily calculated using symbolic math,
Here is a simple function which I need to calculate :
syms t p
R=[ cos(p) sin(p) 0
 -sin(p) cos(p) 0
  0 0 1];
 L1=[ cos(t)  0      sin(t)
      0      1       0
    -sin(t)  0      cos(t) ];
 e0=[1;1;1]
 F=inv(R)*inv(L1)*R*e0
the result :
 F =
 sin(p)^2 - cos(p)*sin(t) - cos(p)*sin(p) + cos(p)^2*cos(t) + cos(p)*cos(t)*sin(p)
 cos(p)^2 - sin(p)*sin(t) - cos(p)*sin(p) + cos(t)*sin(p)^2 + cos(p)*cos(t)*sin(p)
 cos(t) + cos(p)*sin(t) + sin(p)*sin(t)
After having the function what is the best way to calculate it over a set of numerical data for p,t (phi,theta) ??
10x

Best Answer

Fnum = matlabFunction(F, p, t);
This would create a MATLAB function that had p as its first argument and t as its second argument and which returned an array of numeric values.
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