no explicit solution for solve
1 次查看(过去 30 天)
显示 更早的评论
I tried to solve a system of non-linear equations and it came back with the comment,"Explicit solution could not be found." Here is the part of codes with involved the equations. Anything undefined in the syms were considered as the constants:
value=50;
syms x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 positive
solve(...
x10==value,...
x11==N*x8^4/(x8^4+Kb*x9^4),...
x1*(lamQs+muD)==(kPqloop*x11+kPqunloop*(N-x11))*(Kq*x5)/(1+Kq*x5),...
x2*(lamQl+muD)==(kPqloop*x11+kPqunloop*(N-x11))/(1+Kq*x5),...
x3*(lamQar+muD+kar*x5+kar*x4)==kPqloop*x11+kPqunloop*(N-x11),...
x4*(lamX+muD+kar*x3)==kxloop*x11+kxunloop*(N-x11),...
x5*(lamXar+muD+kar*x3)==kXarloop*x11+kXarunloop*(N-x11)-(kPqloop*x11+kPqunloop*(N-x11))*(Kq*x5)/(1+Kq*x5),...
x6*lameI==ki*(x1+x2)*DDensity-kTi*(x6-x8)*DDensity,...
x8*(lamiI+muD)==kTi*(x6-x8),...
x9*(lamiC+muD)==kTc*(x7-x9),...
x10*(lamPrgB+muD)==kdown*x2,...
x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11);
and here are the constants:
N=5/0.602;
muD=log(2)/(45*60);
%muR=3.35*10^-4;
kPqloop=7.23*10^-3;
kPqunloop=8.871*10^-2;
kXarloop=1.021*10^-2;
kXarunloop=1.21*10^-3;
kxloop=8.23*10^-3;
kxunloop=1.21*10^-3;
kQarloop=1.8*10^-3;
kQarunloop=1.08*10^-2;
kconj=2*10^-4;
ki=10^-2;
p=10^-11;
kTi=10^-4;
kTc=10^-3;
%kc=1.2*10^-1;
kar=10^-3;
Kq=4.43;
Kb=10^6;
kdown=10^-3;
lamQs=10^-4;
lamQl=0.1;
lamXar=3.851*10^-4;
lamQar=10^-3;
lamX=10^-4;
lameI=10^-6;
lameC=10^-6;
lamiI=10^-6;
lamiC=10^-6;
lamPrgB=10^-3;
DDensity=5*10^7;
Thanks
5 个评论
John D'Errico
2014-7-31
So? That is the problem with ANY root finding problem. Only global methods can try to find all solutions, and even they can only try. Given a nasty enough problem, any root finder can have problems finding them all.
Accept that you will never be able to find all solutions using exact methods. Wanting to do the impossible is a nice goal, but still impossible.
回答(0 个)
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 Equation Solving 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!