Help to find minimum values of a multivariable function
Show older comments
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.
Accepted Answer
More Answers (0)
Categories
Find more on Structures in Help Center and File Exchange
Products
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!