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Preconditioned Random Toeplitz Operators

Numerical Analysis 2013-08-20 v1

Abstract

The solution of Hermitian positive definite random Toeplitz systems Ax=bAx=b by the preconditioned conjugate gradient method for the Strang circulant preconditioner is studied. We established the foundation for this method by extending the work of Brown-Halmos on Toeplitz operators and Grenander-Szeg\"o on Teoplitz form to random Teoplitz operators.

Cite

@article{arxiv.1308.4018,
  title  = {Preconditioned Random Toeplitz Operators},
  author = {W. F. Ke and K. F. Lai and N. C. Wong},
  journal= {arXiv preprint arXiv:1308.4018},
  year   = {2013}
}
R2 v1 2026-06-22T01:11:32.386Z