How to solve a nonlinear system with 6 equations but with only 4 variables?

Is there a way to solve a system with more equations than variables on matlab? For example, the function solve need the exact same number for the equations and variables.

Answer 1

[Star Strider]

Use the mldivide, \ operator to do a least-squares determineation of the system.

See the documentation for details.

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[Enzo Berberi]

Thank you, but I forgot that I have a system of nonlinear equations. Is there anything for nonlinear systems?

[Star Strider]

My pleasure!

You initially said it was a linear system.

In the context of a nonlinear system, you need to clarify what the system actually is, since coding the solution would depend on those details. Is it 1 nonlinear equation with 4 parameters to be estimated and 6 arrays (vectors or matrices) of data, or something else?

It would also help to know what the objective function is.

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[Star Strider]

This now appears to me to not be a regression problem but instead and optimisation problem, and one that I do not understand in enough detail to suggest a solution.

[Star Strider]

I will delete my Answer in a few minutes.