Abstract. We study the parallelization of some aspects of algebraic multilevel preconditioners for solving symmetric positive definite linear systems with the con-jugate gradient algorithm. We use partitioning of the graph of the matrix. We are particularly concerned with parallelization of the construction of the smoothers and of the coarsening algorithms. Finally, we give some numerical examples showing that when completely parallelized these algorithms may not be fully scalable. This paper is dedicated to Jacques Périaux on the occasion of his sixtieth birthday Key words: algebraic multigrid, conjugate gradient, preconditioner.
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive definit...
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive definit...
Abstract: Some earlier and newly developed parallel versions of the stabilized 2nd order i...
Abstract. This paper numerically compares different algebraic multilevel preconditioners to solve sy...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
3noIn this note, we exploit polynomial preconditioners for the conjugate gradient method to solve la...
In this report we consider two parallel additive preconditioners for solving block tridiagonal linea...
In this report we consider two parallel additive preconditioners for solving block tridiagonal linea...
A frequently used iterative algorithm for solving large, sparse, symmetric and positiv definite syst...
Abstract: In the paper we consider the iterative solution of linear systemby the conjugate...
AbstractLinear systems of the form Ax = b, where the matrix A is symmetric and positive definite, of...
This paper is concerned with the solution of block tridiagonal linear algebraic systems by the preco...
This paper is concerned with the solution of block tridiagonal linear algebraic systems by the preco...
Abstract: A parallel version of the stabilized 2nd order incomplete triangular factorizati...
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive definit...
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive definit...
Abstract: Some earlier and newly developed parallel versions of the stabilized 2nd order i...
Abstract. This paper numerically compares different algebraic multilevel preconditioners to solve sy...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
This report presents preconditioning techniques for the conjugate gradient method (CG), an iterative...
3noIn this note, we exploit polynomial preconditioners for the conjugate gradient method to solve la...
In this report we consider two parallel additive preconditioners for solving block tridiagonal linea...
In this report we consider two parallel additive preconditioners for solving block tridiagonal linea...
A frequently used iterative algorithm for solving large, sparse, symmetric and positiv definite syst...
Abstract: In the paper we consider the iterative solution of linear systemby the conjugate...
AbstractLinear systems of the form Ax = b, where the matrix A is symmetric and positive definite, of...
This paper is concerned with the solution of block tridiagonal linear algebraic systems by the preco...
This paper is concerned with the solution of block tridiagonal linear algebraic systems by the preco...
Abstract: A parallel version of the stabilized 2nd order incomplete triangular factorizati...
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive definit...
This article introduces and analyzes a new adaptive algorithm for solving symmetric positive definit...
Abstract: Some earlier and newly developed parallel versions of the stabilized 2nd order i...
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