I have a system of nonlinear algebraic equations which I'm wanting to solve numerically (for example with a Newton iteration based technique). I can formulate this either as the single system of size N:
f( x ) = 0
or as the nested systems of size P, Q:
g( y, z) = 0,
h( z ) = 0.
It may be that P+Q < N (ie, the nested problem reduces the size of my system to solve).
Is it known which approach is more computationally efficient?