how to optimize the integral function?

 function F =t(x)
syms e 
k=1:511;
F=int((abs(sinc(x*(k+e)))).^2/(abs(sinc(x*e))).^2,e,0,1);
[x,resnorm]=lsqnonlin(@t,0,0,1);

i want to optimize the function 'F' and parameter is 'x' when i run the program error occurred:

Undefined function or method 'isfinite' for input arguments of type 'sym'.

Error in ==> snls at 45 if any(~isfinite(fval))

Error in ==> lsqncommon at 149 [xC,FVAL,LAMBDA,JACOB,EXITFLAG,OUTPUT,msgData]=...

Error in ==> lsqnonlin at 238 [xCurrent,Resnorm,FVAL,EXITFLAG,OUTPUT,LAMBDA,JACOB] = ...

Error in ==> l at 2 [x,resnorm]=lsqnonlin(@t,0,0,1)

Answer 1

[Alan Weiss]

You have several problems in your code.

• Optimization Toolbox uses doubles, not symbolic variables.
• Your function seems to be calling itself (lsqnonlin(@t... occurs inside the definition of t as far as I can see)

To convert from symbolic to numeric, use subs, or the much faster matlabFunction. See this example or this example.

Good luck,

Alan Weiss

MATLAB mathematical toolbox documentation