Abstract
We consider the problems of preconditioning and iterative inversion of Toeplitz operators on sequences of complex numbers. We divide the preconditioned operator into two parts, of which one is compact and the other is regarded as a small perturbartion. It will be shown that the Krylov subspace methods (such as GMRES) will perform initially at superlinear speed when applied to such a preconditioned system. However, with large iteration numbers, the speed will settle down to linear order. Most of our results are stated in terms of the symbol of the Toeplitz operator in question.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
