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

Question

Alejandro Fernández 2020-10-15

0
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https://ww2.mathworks.cn/matlabcentral/answers/615333-algorithm-to-solve-a-system-of-two-equations-and-a-set-of-constraints

回答： Prudhvi Peddagoni 2020-10-19

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.