Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958451 | Computers & Mathematics with Applications | 2017 | 18 Pages |
Abstract
For fast solving weighted Toeplitz least-squares problems from image restoration, Ng and Pan (2014) studied a new Hermitian and skew-Hermitian splitting (NHSS) preconditioner. In this paper, a generalization of the NHSS preconditioner and the corresponding iterative method are presented. Convergence for the new iteration method is studied and optimal choice of the parameters is discussed. Bounds on the eigenvalues and the corresponding eigenvector distributions are proposed. The degree of the minimal polynomial of the preconditioned matrix is obtained. Numerical experiments arising from image restoration are provided, which show the proposed iteration method is effective and confirm our theoretical results are correct.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Li-Dan Liao, Guo-Feng Zhang,