Body: <p>I am currently doing research as a PhD student in theoretical physics. Currently we are calculating physical quantities described by coupled non-linear algebraic systems of equations. These equations have to be solved for different sets of parameters.
  As far as I know there are several iterative methods, for example Newton's method, to solve these.
  Unfortunately, we do not always find the solution for a given parameter set with it.
  I have little idea about neural networks so far, but as far as I understand they can be used as estimators for problems.</p>
  <p>My question now is, could neural networks be used to solve these equations, respectively to approximate the solution as good as possible? I tried to find something about this, but unfortunately my search was unsuccessful. Perhaps the whole question is moot, because the iterative methods are the best that exist.</p>
  <p>Thanks in advance for possible answers or hints</p>
  
Tags: <neural-networks><math>
Title: Can neural-networks solve a system of non-linear algebraic equation
UserDisplayName: SaFeHe
ThreadText: # Can neural-networks solve a system of non-linear algebraic equation
  
  (Asked by: username_0 on 2023-08-01)
  
  I am currently doing research as a PhD student in theoretical physics. Currently we are calculating physical quantities described by coupled non-linear algebraic systems of equations. These equations have to be solved for different sets of parameters.
  As far as I know there are several iterative methods, for example Newton's method, to solve these.
  Unfortunately, we do not always find the solution for a given parameter set with it.
  I have little idea about neural networks so far, but as far as I understand they can be used as estimators for problems.
  
  My question now is, could neural networks be used to solve these equations, respectively to approximate the solution as good as possible? I tried to find something about this, but unfortunately my search was unsuccessful. Perhaps the whole question is moot, because the iterative methods are the best that exist.
  
  Thanks in advance for possible answers or hints
  
  **Tags:** neural-networks, math
  
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  ## 0 answers
  
  