TI-30X Pro MathPrint - How does num-solve work?

[rawi]

On the website education.ti.com there is under materials a text about the solver.
https://ti-unterrichtsmaterialien.net/ma...e973fa5152
But this is not very speficific and it is in German (perhaps there is as well an English version).

First it is explained how the equation sin(x)=x-1 can be solved.
Change the equation so that x is on one side: x=1+sin(x). Take a starting value for x, e.g. x(0) = 1. i=0
Loop: Compute x(i+1) = 1+sin(x(i)) : i=i+1
Until there is no change.

The text continues: The numeric solver applies a similar procedure as shown above.
But the text is not specific in what respect there is a difference to this procedure.
Sorry, but that is all I could find.