MATLAB: Help to find minimum values of a multivariable function

MATLABmatlab function

I have the following function "TotalSum.m":
function [SS] = TotalSum(k1,k2,T,A_Ydata,B_Ydata,C_Ydata)
SS = ConcA(k1,T,A_Ydata) + ConcB(k1,k2,T,B_Ydata) + ConcC(k1,k2,T,C_Ydata);
end
function [SSa] = ConcA(k1,T,A_Ydata)
SSa = sum(((exp(-k1.*T)-A_Ydata).^2));
end
function [SSb] = ConcB(k1,k2,T,B_Ydata)
SSb = sum((((k1.*exp(-k2.*T))./(k1 - k2) - (k1.*exp(-k1.*T))./(k1 - k2))-B_Ydata).^2);
end
function [SSc] = ConcC(k1,k2,T,C_Ydata)
SSc = sum((((k2.*exp(-k1.*T))./(k1 - k2) - (k1.*exp(-k2.*T))./(k1 - k2) + 1)-C_Ydata).^2);
end
and the main script "NonLinearExample.m":
%Nonlinear Example
clear all;
clc;
t = [0 2 6 10 20 30 50 70 90 120 150 200];
T = t';
a_ydata = [1 0.88 0.69 0.53 0.28 0.15 0.043 0.012 0 0 0 0];
A_Ydata = a_ydata';
b_ydata = [0 0.12 0.29 0.42 0.55 0.57 0.46 0.33 0.22 0.12 0.06 0.01];
B_Ydata = b_ydata';
c_ydata = [0 0 0.03 0.05 0.16 0.28 0.50 0.66 0.78 0.88 0.94 0.98];
C_Ydata = c_ydata';
k1 = 0.0629595;
k2 = 0.0211523;
k = [k1,k2];
[SS] = TotalSum(k1,k2,T,A_Ydata,B_Ydata,C_Ydata);
K = fminsearch(@(k)TotalSum,k)
I want to minimise the output [SS] as much as possible by varying the values k1 and k2. However, I am unable to do this.

Best Answer

K = fminsearch(@(k12)TotalSum(k12(1), k12(2), T, A_Ydata, B_Ydata, C_Ydata), k)
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