Newton Raphson for multivariable function

I want to use Newton Raphson to find out solution of the following equation. And each x and q are also vector of length 3. And the term second term of each element for eg. is dependent on the first term of previous element i.e . Can someone please help?

Answer 1

[Matt J]

There is no built-in implementation of Newton-Raphson in Matlab, but fsolve() is pretty similar, so you could use that.