@article{c65bcf3ce498471eb6aaf2ae252f048f,
title = "Preconditioned Iterative Methods for Weighted Toeplitz Least Squares Problems",
abstract = "We consider the iterative solution of weighted Toeplitz least squares problems. Our approach is based on an augmented system formulation. We focus our attention on two types of preconditioners: a variant of constraint preconditioning, and the Hermitian/skew-Hermitian splitting (HSS) preconditioner. Bounds on the eigenvalues of the preconditioned matrices are given in terms of problem and algorithmic parameters, and numerical experiments are used to illustrate the performance of the preconditioners.",
keywords = "Augmented matrix, Constraint preconditioning, Eigenvalue bounds, Image restoration, Iterative methods, Preconditioning, Splittings",
author = "Michele Benzi and Ng, {Michael K.}",
note = "Funding information: t Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322 (
[email protected]). The work of this author was supported in part by National Science Foundation grant DMS-0207599. *Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, and Department of Mathematics, Hong Kong Baptist University, Kowloow Tong, Hong Kong (mng@maths. hku.hk). The research of this author was supported in part by Hong Kong Research Grants Council grants HKU 7130/02P, HKU 7046/03P, and HKU 7035/04P, and HKU CRCG grants 10205964, 10205775, and 10204437. Publisher copyright: Copyright {\textcopyright} 2006 Society for Industrial and Applied Mathematics",
year = "2006",
month = jul,
day = "31",
doi = "10.1137/040616048",
language = "English",
volume = "27",
pages = "1106--1124",
journal = "SIAM Journal on Matrix Analysis and Applications",
issn = "0895-4798",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
number = "4",
}