Different trig algorithms in CAS and Home?

[cyrille de brébisson]

Hello,

"I'm surprised to see this argument. I wouldn't say useless, some problems have thousands of intermediate operations and are potentially unstable or ill conditioned (matrices, actually, are a good example of where extra precision *IS* useful). While not necessarily too sensitive to the initial argument, the errors accumulated over thousands of operations can and do have a big impact."

I think that what it boils down to here is that if an iterative algo uses functions that have such sensitivities to initial conditions, then, they should not be used in this cases. Or they should be designed with a keen understanding of the underlying math library to avoid issues.

Cyrille