The present paper
describes a parallel preconditioned algorithm for the solution of partial eigenvalue problems for large
sparse symmetric matrices, on parallel computers. Namely, we consider the
Deflation-Accelerated Conjugate Gradient (DACG) algorithm accelerated by factorized sparse approximate inverse
(FSAI) type preconditioners. We present an enhanced parallel implementation of the FSAI preconditioner
and made use
of the recently developed Block FSAI-IC preconditioner, which combines the FSAI and the Block Jacobi-IC
preconditioners.
Results onto matrices of large size arising from Finite Element discretization of geomechanical models
reveals that DACG accelerated by these type of preconditioners is competitive with respect to the
available public parallel hypre package, especially in the computation of a few
of the leftmost eigenpairs. The parallel DACG code accelerated by FSAI
is written in MPI--Fortran 90 language and exhibits good scalability up to one thousand processors.
