How to solve large linear complex equations

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Shengfan Bi
Shengfan Bi 2023-12-6
评论： Matt J 2023-12-6
The equations are of the following form:
,
where is known.
“Subsitituting into ,we can obtain 14 linear complex equations. By solving 28 linear equations, we can determine the values for .”
How do I solve the imaginary part and the real part
I plan to use the lsqnonlin function for solving, but there are too many unknowns and defining them with syms becomes cumbersome. Is there a better way to solve this problem?

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Matt J
Matt J 2023-12-6
编辑：Dyuman Joshi 2023-12-6
Since it is a linear and unconstrained system of equations, just use mldivide, \
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Shengfan Bi
Shengfan Bi 2023-12-6
Thank you for your response. Here is my code where I separate the imaginary and real parts for computation.
syms phi_delta_real [14 1] real %Declaration
eqns_real=real(sum(conj(phi_delta_real)./(delta_i-2*delta_i).^2))+real(1./delta_i.^2-phi_delta_real);%Objective equation
vars=phi_delta_real;
[A,b] = equationsToMatrix(eqns_real,vars);
x=linsolve(A,b);%Linear solution
Matt J
Matt J 2023-12-6
Here is my code where I separate the imaginary and real parts for computation.
I'm not sure you need to do that, but regardless, if your question is now resolved, please Accept-click the Answer.

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