Properties of iteration of toeplitz operators with toeplitz preconditioners
Copyright policy )Properties of iteration of toeplitz operators with toeplitz preconditioners
Toeplitz operators are preconditioned by approximations applied to the symbol (also known as generating function) of the operator. The preconditioned operator divides in two parts, a compact one and a perturbation. As a result, Krylov subspace methods exhibit superconvergence in initial iterations. Convergence estimates are given in terms of the symbol of the operator. The results are confirmed by numerical experiments.
- Helsinki University of Technology Finland
- University of Helsinki Finland
superconvergence, preconditioning, Numerical solutions to equations with linear operators, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Krylov subspace methods, numerical experiments, Equations and inequalities involving linear operators, with vector unknowns, Toeplitz operators
superconvergence, preconditioning, Numerical solutions to equations with linear operators, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Krylov subspace methods, numerical experiments, Equations and inequalities involving linear operators, with vector unknowns, Toeplitz operators
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