Generalized Hermitian and skew-Hermitian splitting iterative method for image restoration

In this study, we apply the generalized Hermitian and skew-Hermitian splitting (GHSS) iterative method to the problem of image restoration. We employ a new split of the Hermitian part of the coefficient matrix of the problem. Moreover, we introduce a restricted version of the GHSS (RGHSS) iterative...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematical modelling 2015-10, Vol.39 (20), p.6126-6138
Main Authors: Aghazadeh, Nasser, Bastani, Mehdi, Salkuyeh, Davod Khojasteh
Format: Article
Language:English
Subjects:
Boundary conditions
Convergence
Generalized HSS
Hermitian and skew-Hermitian splitting method
Image restoration
Restricted GHSS
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, we apply the generalized Hermitian and skew-Hermitian splitting (GHSS) iterative method to the problem of image restoration. We employ a new split of the Hermitian part of the coefficient matrix of the problem. Moreover, we introduce a restricted version of the GHSS (RGHSS) iterative method and we describe its convergence properties. We also give the optimal parameter that minimizes the spectral radius of the iteration matrix of the RGHSS method. We present some numerical examples to demonstrate the effectiveness and accuracy of the method, and we also compare it with a recently proposed method.
ISSN:0307-904X
DOI:10.1016/j.apm.2015.01.042