Solving system of 9 nonlinear equaitons in 16 variables
3 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
Sachchidanand Prasad
am 28 Nov. 2022
Beantwortet: Torsten
am 28 Nov. 2022
I have a system of equations as follows:
I am not able to use fsolve as it says in the documentaiton that the number of variables should be as same as the number of equations. I found this on the MathWorks which says that it can be done with fsolve. Please let me know if it can be solved by any other method or by using fsolve. It will also suffice if I can know the solution exists.
I am writing the MATLAB code that I have written using fsolve.
f = @(x) [x(1)*x(9) + x(2)*x(12) + x(3)*x(15) - 13;
x(1)*x(10) + x(2)*x(13) + x(3)*x(16) - 15;
x(1)*x(11) + x(2)*x(14) - x(3)*(x(9) + x(13)) + 1;
x(4)*x(9) + x(5)*x(12) + x(6)*x(15) - 9;
x(4)*x(10) + x(5)*x(13) + x(6)*x(16) - 24;
x(4)*x(11) + x(5)*x(14) - x(6)*(x(9) + x(13));
x(7)*x(9) + x(8)*x(12) - x(15)*(x(1) + x(5)) - 7;
x(7)*x(10) + x(8)*x(13) - x(16)*(x(1) + x(5)) -2;
x(7)*x(11) + x(8)*x(14) + (x(1)+x(5))*(x(9)+x(13)) - 35];
A = zeros(1,9);
fsolve(f, A)
0 Kommentare
Akzeptierte Antwort
Torsten
am 28 Nov. 2022
x0 = -10*ones(16,1);
AB = [13 15 -1;9 24 0;7 2 35];
options = optimset('TolFun',1e-16,'TolX',1e-16);
x = fmincon(@(x)fun(x,AB),x0,[],[],[],[],[],[],[],options);
A = [x(1) x(2) x(3);x(4) x(5) x(6);x(7) x(8) -(x(1)+x(5))]
B = [x(9) x(10) x(11);x(12) x(13) x(14);x(15) x(16) -(x(9)+x(13))]
A*B-AB
function obj = fun(x,AB)
A = [x(1) x(2) x(3);x(4) x(5) x(6);x(7) x(8) -(x(1)+x(5))];
B = [x(9) x(10) x(11);x(12) x(13) x(14);x(15) x(16) -(x(9)+x(13))];
M = A*B - AB;
M = M(:);
obj = sum(M.^2);
end
0 Kommentare
Weitere Antworten (0)
Siehe auch
Kategorien
Mehr zu Systems of Nonlinear Equations finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!