How to solve N nonlinear equations using fsolve?

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I'm trying to solve a system on N nonlinear equations. For , for example, I can simply input 5 equations by hand that has 5 variables in total. Here's an example just to show what I use;
%%%%% Example %%%%%
f=@(x) [x(1)^2-x(2);
x(2)^2-x(3);
x(3)^2-x(4);
x(4)^2-x(5);
x(5)^2-x(1)];
X=ones(1,N-3);
S=fsolve(f,X);
%%%%% Example %%%%%
What I really want to do is to solve N nonlinear equations that has N variables in total. In this case there are 2 issues I need to solve.
1-) How can I input N variables?
2-) How can I input N functions?
Is there any loop I can use?
Thanks in advance.
  1 个评论
Walter Roberson
Walter Roberson 2020-5-3
do you have the symbolic toolbox? if so then create a vector of equations and matlabFunction that

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Walter Roberson
Walter Roberson 2020-5-3
If you do not have the symbolic toolbox, you will need to enter the equations as text. strjoin() the equations with ';' and put '@(x)[' ']' around that, and str2func() to create the function handle.
  4 个评论
Berk Özdemir
Berk Özdemir 2020-5-4
编辑:Berk Özdemir 2020-5-4
Dear Walter,
Thank you for your response, using vars option of matlabFunction worked, but that led me another problem.
I create a vector of symbolic variables such as;
A=sym('x', [1;N-3]);
where N is entered by the user. I checked for ,
f=matlabFunction(F,'vars',{[A(1) A(2) A(3) A(4) A(5) A(6) A(7)});
S=fsolve(f,X0);
and it worked. But what if A has 1000 variables?
EDIT : I simply changed
f=matlabFunction(F,'vars',{[A(1) A(2) A(3) A(4) A(5) A(6) A(7)});
to
f=matlabFunction(F,'vars',{[A]});
and it worked.
That helped a lot, thank you.

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