This paper is concerned with the solution of a linear system of equations which have the form of AX + XB = C by the preconditioned conjugate gradient (PCG) method. Such systems arise from finite difference discretization of separable elliptic boundary value problems on rectangular domains. A parallel additive preconditioner for the conjugate gradient (CG) method for solving such systems is presented. Some numerical experiments on the Poisson model problem are carried out on the Sequent Balance 8000 to evaluate the effectiveness of the additive preconditioner with respect to block diagonal preconditioners.
A parallel additive preconditioner for conjugate gradient method for AX+XB=C / D. J., Evans; Galligani, Emanuele. - In: PARALLEL COMPUTING. - ISSN 0167-8191. - STAMPA. - 20:(1994), pp. 1055-1064.
A parallel additive preconditioner for conjugate gradient method for AX+XB=C
GALLIGANI, Emanuele
1994
Abstract
This paper is concerned with the solution of a linear system of equations which have the form of AX + XB = C by the preconditioned conjugate gradient (PCG) method. Such systems arise from finite difference discretization of separable elliptic boundary value problems on rectangular domains. A parallel additive preconditioner for the conjugate gradient (CG) method for solving such systems is presented. Some numerical experiments on the Poisson model problem are carried out on the Sequent Balance 8000 to evaluate the effectiveness of the additive preconditioner with respect to block diagonal preconditioners.
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