[Trilinos-Users] Two questions on the smoother of a multilevel preconditioner

[Ernesto Prudencio]

Hi.

On page 25 of "ML 5.0 Smoothed Aggregation User's Guide" there is the 
explanation for the option "smoother: Aztec as solver". If this options is 
set to 'false', then "only the Aztec's preconditioner function will be 
used as smoother".

Question 1: Is it correct to interpret the 'false' option as a 
preconditioned Richardson smoother which iterates as many times as 
determined by "smoother: sweeps" option?

By a (damped) preconditioned Richardson iteration I mean [notation: Ax = 
b; r(k) = b - A x(k); B = preconditioner operator; \eta = dumping factor]:

r(k+1) = (I - \eta A B) r(k) = E r(k),

where E = error propagation matrix.

Question 2: Does the "smoother: damping factor" parameter correspond to 
the "\eta" parameter above?

Thanks,

Ernesto.