A generalized global Arnoldi method for ill-posed matrix equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Bouhamidi, A.²  Jbilou, K.²  Reichel, L.¹  Sadok, H.² 

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Univ Lille Nord de France, LMPA, ULCO, F-62228 Calais, France

关键词: Global Arnoldi;    Kronecker product;    Matrix equation;    Regularization;   

DOI  :  10.1016/j.cam.2011.09.031

来源: Elsevier

【 摘 要 】

This paper discusses the solution of large-scale linear discrete ill-posed problems with a noise-contaminated right-hand side. Tikhonov regularization is used to reduce the influence of the noise on the computed approximate solution. We consider problems in which the coefficient matrix is the sum of Kronecker products of matrices and present a generalized global Arnoldi method, that respects the structure of the equation, for the solution of the regularized problem. Theoretical properties of the method are shown and applications to image deblurring are described. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free