Nonsymmetric linear systems of algebraic equations which are small rank perturbations of block band-Toeplitz matrices from discretization of time-dependent PDEs are considered. With a combination of analytical and experimental results, we examine the convergence characteristics of the GMRES method with circulant-like block preconditioning for solving these systems.
Bertaccini, D., Ng, M.k. (2003). Band-Toeplitz preconditioned GMRES iterations for time-dependent PDEs. BIT, 43(5), 901-914 [10.1023/B:BITN.0000014545.13704.22].
Band-Toeplitz preconditioned GMRES iterations for time-dependent PDEs
Bertaccini D.;
2003-01-01
Abstract
Nonsymmetric linear systems of algebraic equations which are small rank perturbations of block band-Toeplitz matrices from discretization of time-dependent PDEs are considered. With a combination of analytical and experimental results, we examine the convergence characteristics of the GMRES method with circulant-like block preconditioning for solving these systems.File in questo prodotto:
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