Negative output Fsolve Function
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K.G
le 31 Juil 2019
Réponse apportée : Sai Sri Pathuri
le 7 Août 2019
Hi all,
can anyone help me understand why I am getting a negative output from this code and how can I modify the code so I do not get a negative output?
function [x,exitflag]= Function_final(c)
c=[10^-7,10^-7,0.5*10^-3,0.5*10^-3,0.25*10^-3,0.25*10^-3,0.25*10^-3,0.25*10^-3,0.5*10^-3,0.5*10^-3,0.5*10^-3,0.5*10^-4,0.25*10^-1,0.5*10^-4,0.5*10^-6];
MaT = c(3)+c(4)+c(9)+c(10)+c(11)+c(12);
MbT = c(5)+c(6)+c(7)+c(8)+c(9)+c(10)+c(11);
McT = c(2)+c(6)+2*c(7)+3*c(8)+c(9)+2*c(10)-c(1)-c(4)+c(13)+2*c(15)+c(12);
MdT = c(12)+c(13)+c(14)+c(15);
z=[1,1,2,1,3,2,1,0,0,1,1,1,1,2,0];
T=36;
I=0.5*sum(c.*z.^2);
A=0.486+(6.07*10^-4)*T+(6.43*10^-6)*T^2;
gamma_initial=zeros(1,15);
for i=1:15
gamma_initial(i)=10^(-A*z(i)^2*(I^0.5/(1+I^0.5)-0.3*I));
end
p = [gamma_initial, c];
options=optimoptions('fsolve','Display','iter');
[x,exitflag]=fsolve(@(x)Approach(x,MaT,MbT,McT,MdT),p,options);
end
function F = Approach(p,MaT,MbT,McT,MdT)
K1 = 1.01*10^-14;
K2 = 2.13*10^-13;
K3 = 1.14*10^12;
K4 = 1.73*10^19;
K5 = 2.71*10^21;
K6 = 5.36*10^14;
K7 = 3.41*10^20;
K8 = 1.18*10^7;
K9 = 4.01;
K10= 1.74*10^10;
K11 = 3.09*10^3;
z=[1,1,2,1,3,2,1,0,0,1,1,1,1,2,0];
T=36;
A=0.486+(6.07*10^-4)*T+(6.43*10^-6)*T^2;
c = p(16:30);
la = log10(p(1:15));
I=0.5*sum(c.*z.^2);
F(1) = la(1)^2 - la(1) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(2) = la(2)^2 - la(2) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(3) = la(3)^2 - la(3) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(4) = la(4)^2 - la(4) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(5) = la(5)^2 - la(5) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(6) = la(6)^2 - la(6) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(7) = la(7)^2 - la(7) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(8) = la(8)^2 - la(8) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(9) = la(9)^2 - la(9) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(10) = la(10)^2 - la(10) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(11) = la(11)^2 - la(11) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(12) = la(12)^2 - la(12) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(13) = la(13)^2 - la(13) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(14) = la(14)^2 - la(14) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(15) = la(15)^2 - la(15) * (I*A*z(1)^2) * 2.6 - 1/(1-I)^2 * A^2 * z(1)^4 * (I - 1.69 * I^2 - 0.09 * I^4);
F(16) = (K1*(10^la(2)*p(17))^(-1))-(10^la(1)*p(16));
F(17) = (K2*(10^la(3)*p(18))*(10^la(1)*p(16)))-(10^la(4)*p(19));
F(18) = (K3*(10^la(5)*p(20))*(10^la(2) *p(17)))-(10^la(6)*p(21));
F(19) = (K4*(10^la(5)*p(20))*(10^la(2)*p(17))^2)-(10^la(7)*p(22));
F(20) = (K5*(10^la(5)*p(20))*(10^la(2)*p(17))^3)-(10^la(8)*p(23));
F(21) = (K6*(10^la(3)*p(18))*(10^la(5)*p(20))*(10^la(2)*p(17)))-(10^la(9)*p(24));
F(22) = (K7*(10^la(3)*p(18))*(10^la(5)*p(20))*(10^la(2)*p(17))^2)-(10^la(10)*p(25));
F(23) = (K8*(10^la(3)*p(18))*(10^la(5)*p(20)))-(10^la(11)*p(26));
F(24) = (K9*(10^la(3)*p(18))*(10^la(14)*p(29))*(10^la(2)*p(17)))-(10^la(12)*p(27));
F(25) = (K10*(10^la(2)*p(17))*(10^la(14)*p(29))) - (10^la(13)*p(28));
F(26) = (K11*((10^la(2)*p(17))^2)*(10^la(14)*p(29))) - (10^la(15)*p(30));
F(27) = p(18)+p(19)+p(24)+p(25)+p(26)-MaT;
F(28) = p(20)+p(21)+p(22)+p(23)+p(24)+p(25)+p(26)-MbT;
F(29) = p(17)+p(21)+2*p(22)+3*p(23)+p(24)+2*p(25)-p(16)-p(19)-McT;
F(30) = p(27)+p(28)+p(29)+p(30)-MdT;
F = [F(1);F(2);F(3);F(4);F(5);F(6);F(7);F(8);F(9);F(10);F(11);F(12);F(13);F(14);F(15);F(16);F(17);F(18);F(19);F(20);F(21);F(22);F(23);F(24);F(25);F(26);F(27);F(28);F(29);F(30);
end
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Réponse acceptée
Sai Sri Pathuri
le 7 Août 2019
The negative value for exitflag is obtained because the equation is not solved due to tolerances. Try to execute by setting the appropriate values of tolerances.
Refer the following link for troubleshooting
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