Nonlinear overdetermined equation systems

2 次查看（过去 30 天）
Mustafa Duran
Mustafa Duran 2023-8-8
编辑： Torsten 2023-8-8
There is a nonlinear overdetermined system. For example:
syms x y z t
x+y+z+t=0.5
3x+4y+5z+2t=5
2x+9y+3z+4t=6
2x+4y+8z+6t=2
x^2+y^2+3z+6t=9
I found the solution for linear overdetermined systems. However how can i solve nonlinear overdetermined equation systems like that in MATLAB?

请先登录，再回答此问题。

回答（1 个）

Torsten
Torsten 2023-8-8
编辑：Torsten 2023-8-8
Ran in:
By using "lsqnonlin", e.g.
sol0 = [0 0 0 0];
sol = lsqnonlin(@fun,sol0)
Local minimum possible. lsqnonlin stopped because the final change in the sum of squares relative to its initial value is less than the value of the function tolerance.
sol = 1×4
2.7023 0.0552 -1.0198 0.7598
norm(fun(sol))
ans = 2.0264
function res = fun(u);
x = u(1);
y = u(2);
z = u(3);
t = u(4);
res = [x+y+z+t-0.5,...
3*x+4*y+5*z+2*t-5,...
2*x+9*y+3*z+4*t-6,...
2*x+4*y+8*z+6*t-2,...
x^2+y^2+3*z+6*t-9];
end

类别

在 Help Center 和 File Exchange 中查找有关 Systems of Nonlinear Equations 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by