Preconditioning strategies for non-Hermitian Toeplitz linear systems

@article{Huckle2005PreconditioningSF,
  title={Preconditioning strategies for non-Hermitian Toeplitz linear systems},
  author={Thomas Huckle and Stefano Serra Capizzano and Cristina Tablino Possio},
  journal={Numerical Lin. Alg. with Applic.},
  year={2005},
  volume={12},
  pages={211-220}
}
It is well known that Toeplitz matrices arise in many elds of pure and applied mathematics such as Fourier analysis, numerical treatment of partial di erential equations, industrial control theory, Markov chains, signal and image processing (see e.g. Reference [1]). In some of these applications, large Toeplitz linear systems have to be solved in real time and consequently it is crucial to have fast solvers. In the positive de nite case a lot of optimal iterative solvers are known [1] (in the… CONTINUE READING

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