What is the difference between the Dishonest Newton method and the Very Dishonest Newton method? Is there a difference or do they mean the same thing?
I have tried searching for this on the internet but I can't find anything. I understand that in the ordinary ("honest") Newton method, the Jacobian is computed in each iteration. If we reuse the same Jacobian for several iterations, this is referred to as the Dishonest Newton method (DN) by some sources and as the Very Dishonest Newton method (VDN) by others.
Intuitively, I would think that the Very Dishonest Newton method reuses the same Jacobian for more iterations than Dishonest Newton. Maybe in VDN the Jacobian is only computed once? But I have not been able to verify this.
I would prefer some credible sources with clear descriptions of both methods as I want to refer to them in my master's thesis.