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Steepest descent method with newtons method

4 次查看（过去 30 天）
Muthumari
Muthumari 2023-5-1
关闭： Torsten 2023-5-1
My objective function is 2𝑥1 + 3𝑥2 ^2 + 𝑒( 2𝑥1 ^2+𝑥2^ 2 )
I have tried this code but nothing worked
function s = newton_ls(y,d)
% initilaize lamba=0
s=0;
% let theta_d and theta_dd be the first and second dreivative of theta
while 1
theta_d = first_d(s);
theta_dd = second_d(s);
diff = - theta_d/theta_dd;
s= s+diff;
if abs(diff)<0.01
break;
end
end
%nested function to define my first derivative and second derivative of lamba
function t_d = first_d(s)
t_d= 2*d(1,1)+(6*(d(2,1)^2*s))+(6*(d(2,1)*y(2,1)))+(2*(d(2,1)*d(2,1)*s)+y(2,1))+(4*d(1,1)*(d(1,1)*s+y(1,1)))*exp(((d(2,1)*s+y(2,1))^2)+(2*(d(1,1)*s+y(1,1))^2));
end
function t_dd = second_d(s)
t_dd= 12*d(2,1)+2*d(2,1)^2+2*d(2,1)*d(1,2)*s+y(2,1)+4*d(1,1)*d(2,1)*s+y(1,1)^2*exp(d(2,1)*s+y(2,1)^2+2*d(1,1)*s+y(1,1)^2+2*d(2,1)^2+4*d(1,1)^2)*exp(d(2,1)*s+y(2,1)^2)+(2*d(1,1)*s+y(1,1)^2);
end
end
Kindly help me with suggestions

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