GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Introduction to parallel computing: design and analysis of algorithms
Introduction to parallel computing: design and analysis of algorithms
Analyzing scalability of parallel algorithms and architectures
Journal of Parallel and Distributed Computing - Special issue on scalability of parallel algorithms and architectures
Performance and Scalability of Preconditioned Conjugate Gradient Methods on Parallel Computers
IEEE Transactions on Parallel and Distributed Systems
Efficient management of parallelism in object-oriented numerical software libraries
Modern software tools for scientific computing
Performance of Various Computers Using Standard Linear Equations Software
Performance of Various Computers Using Standard Linear Equations Software
Multi-core CPUs, Clusters, and Grid Computing: A Tutorial
Computational Economics
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This paper investigates parallel solution methods to simulate large-scalemacroeconometric models with forward-looking variables. The method chosen isthe Newton-Krylov algorithm, and we concentrate on a parallel solution to thesparse linear system arising in the Newton algorithm. We empirically analyzethe scalability of the GMRES method, which belongs to the class of so-calledKrylov subspace methods. The results obtained using an implementation of thePETSc 2.0 software library on an IBM SP2 show a near linear scalability forthe problem tested.