BAND-TOEPLITZ PRECONDITIONED GMRES ITERATIONS FOR TIME-DEPENDENT PDES

摘要

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.