This paper investigates parallel solution methods to simulate large-scale macroeconometric models with forward-looking variables. The method chosen is the Newton-Krylov algorithm. We concentrate on a parallel solution to the sparse linear system arising in the Newton algorithm, and we empirically analyze the scalability of the GMRES method, which belongs to the class of so-called Krylov subspace methods. The results obtained using an implementation of the PETSc 2.0 software library on an IBM SP2 show a near linear scalability for the problem tested. Keywords: Parallel computing, Newton-Krylov methods, sparse matrices, forward-looking models, GMRES, scalability. JEL Classification: C63, C88, C30.
The solution of large and sparse models presents in many ways a suitable structure for implementatio...
We study a parallel Newton-Krylov-Schwarz (NKS) based algorithm for solving large sparse systems...
The power flow problem is generally solved by the Newton-Raphson method with a sparse direct solver ...
In this paper we develop algorithms to solve macro econometric models with forward-looking variables...
AbstractIn this paper we have developed algorithms to solve macroeconometric models with forward-loo...
International audienceIn this paper, we revisit the Krylov multisplitting algorithm presented in Hua...
The GMRES iterative method is widely used as Krylov subspace accelerator for solving sparse linear s...
In this paper we present an implementation of a Newton method based on iterative Krylov subspace met...
International audienceKrylov methods such as GMRES are efficient iterative methods to solve large sp...
In this paper, we describe tensor methods for large sparse systems of nonlinear equations based on K...
Numerical methods related to Krylov subspaces are widely used in large sparse numerical linear algeb...
summary:In this note, we compare some Krylov subspace iterative methods on the MASPAR, a massively p...
Krylov methods are widely used for solving large sparse linear systems of equations.On distributed a...
International audienceKrylov methods are widely used for solving large sparse linear systems of equa...
For the solution of large sparse systems of linear equations with general non-Hermitian coefficient ...
The solution of large and sparse models presents in many ways a suitable structure for implementatio...
We study a parallel Newton-Krylov-Schwarz (NKS) based algorithm for solving large sparse systems...
The power flow problem is generally solved by the Newton-Raphson method with a sparse direct solver ...
In this paper we develop algorithms to solve macro econometric models with forward-looking variables...
AbstractIn this paper we have developed algorithms to solve macroeconometric models with forward-loo...
International audienceIn this paper, we revisit the Krylov multisplitting algorithm presented in Hua...
The GMRES iterative method is widely used as Krylov subspace accelerator for solving sparse linear s...
In this paper we present an implementation of a Newton method based on iterative Krylov subspace met...
International audienceKrylov methods such as GMRES are efficient iterative methods to solve large sp...
In this paper, we describe tensor methods for large sparse systems of nonlinear equations based on K...
Numerical methods related to Krylov subspaces are widely used in large sparse numerical linear algeb...
summary:In this note, we compare some Krylov subspace iterative methods on the MASPAR, a massively p...
Krylov methods are widely used for solving large sparse linear systems of equations.On distributed a...
International audienceKrylov methods are widely used for solving large sparse linear systems of equa...
For the solution of large sparse systems of linear equations with general non-Hermitian coefficient ...
The solution of large and sparse models presents in many ways a suitable structure for implementatio...
We study a parallel Newton-Krylov-Schwarz (NKS) based algorithm for solving large sparse systems...
The power flow problem is generally solved by the Newton-Raphson method with a sparse direct solver ...