We present a parallel pre-symmetrized iterative algorithm, PLRSCG-2, based on a modification of the PLRSCG-1 algorithm with applications to non-symmetric linear systems arising from the discretization of a class of second order non-scalar non-self-adjoint elliptic equations. The numerical results show that our PLRSCG-2 algorithm is better than PLRSCG-1 algorithm, and is a scalable linear solver.
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