How can I solve for six variable using six equations using the Optimization toolbox such that the variables are between 1 and 0?

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ConstStr
N7 = 3.135E+00*N1*N2,
N8 = 4.100E-01*N2*N6,
N9 = 1.381E+01*N1*N4,
N10 = 7.610E+01*N2^2*N3,
N11 = 1.720E+05*N2*N3^2*N5^3,
N12 = 4.034E+04*N3*N5^2,
N13 = 2.615E+04*N2*N3^2*N5^2,
N14 = 3.826E+44*N1*N3*N5^2,
N15 = 1.458E+03*N2*N3*N5,
N16 = 2.435E+04*N1*N3^2*N5,
N17 = 1.186E+08*N3^2*N5^3,
N18 = 7.511E+02*N3*N5,
N19 = 6.874E+02*N3*N5;
Function
N1+N2+N3+N4+N5+N6+N7+N8+N9+N10+N11+N12+N13+N14+N15+N16+N17+N18+N19 = 1;
0.1962*(N2+N7+N8+2*N10+N11+N13+N15)-0.6575*(N1+N7+N9+N14+N16) = 0;
0.0557*(N3+N10+2*N11+N12+2*N13+N14+N15+2*N16+2*N17+N18+N19)-0.4698*(N4+N9) = 0;
0.0099*(N5+3*N11+2*N12+2*N13+2*N14+N15+N16+3*N17+N18+N19)-0.3525*(N6+N8) = 0;
0.0557*(N1+N7+N9+N14+N16)-0.1962*(N4+N9) = 0;
0.0099*(N2+N7+N8+2*N10+N11+N13+N15)-0.6575*(N6+N8) = 0;

Answers (1)

Abhisek Pradhan
Abhisek Pradhan on 5 Oct 2020
Edited: Abhisek Pradhan on 5 Oct 2020
The following link has a detailed documentation and solved example of non-linear system of equations using Optimization Toolbox.

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