Algorithm to solve a system of two equations and a set of constraints

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Hello, I was wondering if anyone could implement an algorithm that could solve a system of equations with 4 unknowns (a,b,c,d) and two equations, to make it soluble a series of restrictions are added:
  • The values of the four variables can only be powers of 10 from 1000 to 10000 of the following values, for example it could be 1200, 15000, 270000, etc.:
val = [1, 1.2 , 1.5, 1.8, 2.2 , 2.7, 3.3, 3.9, 4.7, 5.6, 6.8, 8.2]
  • It should always be put of initial condition that the variables a and d take the value 1000, and from there that it is found the solution that better approximates the result using these values.
As an example I leave here a possible system of equations.

回答(1 个)

Prudhvi Peddagoni
Prudhvi Peddagoni 2020-10-19
Hi,
you can use solve function to do this. the documentation for this function and the examples can be found here.
Hope this helps.

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