Failure in initial objective function evaluation. FSOLVE cannot continue.

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sara
sara 2022-10-3
评论： sara 2022-10-25
Hi all,
I'm trying to solve a non linear, parametric system of equations.
Here my myfun_driver.m file containing the call to the function with fsolve:
fun = @root7d;
x0 = [0,0];
x = fsolve(fun,x0);
Here the root7d.m file where I defined the function and parameters (the main function has a call to othe functions, I don't know if I'm doing well):
%parameters
Vp=100;
Kp=0.5;
q=1;
phi=0.006;
MIN=1;
N1=10;
gb=0.8;
gp=0.45;
g1=0.6;
g2=0.5;
g3=0.6;
gf=0.75;
arb=1-ar;
ar=0.2;
r1=0.8;
eps2=0.02;
rho = @(x,vp,kp,gp,gb,MIN,N1)( (1-gp)* vp*x(1)/(kp+x(1))...
+ (1-gb)* (MIN*exp(x(1)/N1)*x(2)));
G1 = @(x,ar,eps2)((ar*x(2)+(1-ar)*x(2))/(eps2^2 + (ar*x(2)+(1-ar)*x(2))^2));
function F = root7d(x,vp,kp,q,phi,r1,MIN,N1,gb,ar,arb)
F(1) = -vp*x(1)/(kp+x(1))*q*x(2) +q*rho(x,gp,gb) + phi - r1*MIN*exp(x(1)/N1)*x(2);
F(2) = gb*r1*MIN*exp(x(1)/N1)*x(2) - r1*G1(x,ar)*arb*x(2)/(ar*x(2)+(1-ar)*x(2));
end
I don't know why I obtain the following message: Failure in initial objective function evaluation. FSOLVE cannot continue.

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采纳的回答

Torsten
Torsten 2022-10-3
编辑：Torsten 2022-10-3
Ran in:
fun = @root7d;
x0 = [10,10];
x = fsolve(fun,x0)
Equation solved. fsolve completed because the vector of function values is near zero as measured by the value of the function tolerance, and the problem appears regular as measured by the gradient.
x = 1×2
12.3661 0.5385
fun(x)
ans = 1×2
1.0e-12 * -0.2036 0.0266
function F = root7d(x)
%parameters
vp=100;
kp=0.5;
q=1;
phi=0.006;
MIN=1;
N1=10;
gb=0.8;
gp=0.45;
g1=0.6;
g2=0.5;
g3=0.6;
gf=0.75;
ar=0.2;
arb=1-ar;
r1=0.8;
eps2=0.02;
rho = ( (1-gp)* vp*x(1)/(kp+x(1)) + (1-gb)* (MIN*exp(x(1)/N1)*x(2)));
G1 = ((ar*x(2)+(1-ar)*x(2))/(eps2^2 + (ar*x(2)+(1-ar)*x(2))^2));
F(1) = -vp*x(1)/(kp+x(1))*q*x(2) +q*rho + phi - r1*MIN*exp(x(1)/N1)*x(2);
F(2) = gb*r1*MIN*exp(x(1)/N1)*x(2) - r1*G1*arb*x(2)/(ar*x(2)+(1-ar)*x(2));
end

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