Solving a system on nonlinear equations using Halley's method

[Namir]

Let me see if I am reading you correctly. Using Newton's method for nonlinear equation with multiple solution may not be (easily) able to converge to the solutions you are looking for? If this is what you mean, than I am in full agreement with you. HP Prime has problems converging to certain solutions of nonlinear equations. I recently wrote a similar Newton's method for 3 eqns on the HP-85 and I came across the same problem. This leads me to think if Newton's (and Halley's) methods are highly affected by the curvature of the nonlinear functions.

Yes? No?

Namir