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Regularizing properties of a class of matrices including the optimal and the superoptimal preconditioners

  • Published:2018-12-17 Issue:2 Volume:26 Page:e2225
  • ISSN:1070-5325
  • Container-title:Numerical Linear Algebra with Applications
  • language:en
  • Short-container-title:Numer Linear Algebra Appl

Author:

Cipolla Stefano1ORCID,Di Fiore Carmine2,Durastante Fabio3ORCID,Zellini Paolo2

Affiliation:

1. Department of Mathematics; University of Padova; Padua Italy

2. Department of Mathematics; University of Rome Tor Vergata; Rome Italy

3. Department of Computer Science; University of Pisa; Pisa Italy

Funder

Gruppo Nazionale per il Calcolo Scientifico dell'Istituto Nazionale di Alta Matematica

2018 INdAM-GNCS project “Tecniche innovative per problemi di algebra lineare”

MIUR Excellence Department Project awarded to the Department of Mathematics, University of Rome Tor Vergata

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference30 articles.

1. An optimal circulant preconditioner for Toeplitz systems;Chan;SIAM J Sci Statist Comput,1988

2. Circulant preconditioners for Hermitian Toeplitz systems;Chan;SIAM J Matrix Anal Appl,1989

3. Optimal and superoptimal circulant preconditioners;Tyrtyshnikov;SIAM J Matrix Anal Appl,1992

4. The spectra of super-optimal circulant preconditioned Toeplitz systems;Chan;SIAM J Numer Anal,1991

5. A note on the superoptimal matrix algebra operators;Di Benedetto;Linear Multilinear Algebra,2002

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