Iterative solution methods and preconditioners for block-tridiagonal systems of equations
SIAM Journal on Matrix Analysis and Applications
A family of block preconditioners for block systems
SIAM Journal on Scientific and Statistical Computing
On parallel computations with banded matrices
Information and Computation
SIAM Journal on Scientific Computing
Preconditioning of Block Toeplitz Matrices by Sine Transforms
SIAM Journal on Scientific Computing
A note on algebraic multigrid methods for the discrete weighted Laplacian
Computers & Mathematics with Applications
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In an earlier work [1], we have considered the use of @t [2] preconditioners for the solution of Dirichlet boundary value problems by means of the preconditioned conjugate gradients methods. In this paper we propose the use of Toeplitz matrices for the fast parallel solution of differential problems. We propose some algorithms to solve preconditioned systems which are especially suitable in parallel environments. We also present several numerical results to prove the effectiveness of our technique