Global-DGMRES method for matrix equation AXB = C

被引：4
|
作者：
Safarzadeh, Malihe [1 ]
Sadeghi Goughery, Hossein [1 ]
Salemi, Abbas [2 ,3 ]
机构：
[1] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
[2] Shahid Bahonar Univ Kerman, Dept Appl Math, Kerman, Iran
[3] Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, Iran
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2022年 / 99卷 / 05期
关键词：
Matrix equations; global-DGMRES method; drazin inverse solution; matrix Krylov subspaces; deblurring problems; KRYLOV SUBSPACE METHODS; DRAZIN-INVERSE SOLUTION; GENERAL LINEAR-SYSTEMS; REGULARIZATION METHODS;
D O I：
10.1080/00207160.2021.1942459
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new algorithm Global-DGMRES to find the Drazin inverse solution of the linear matrix equation AXB = C, where at least one of the matrices A or B is rank deficient. This method is based on oblique projection process, onto matrix Krylov subspaces. Also, we study convergence properties of this algorithm. The matrix equation AXB = C is a mathematical model for deblurring problems and the Global-DGMRES method helps us to reconstruct blurred images corresponding to this matrix equation. Moreover, by numerical results, we compare the proposed method with Global-LSMR and Global-LSQR.
引用
收藏
页码：1005 / 1021
页数：17
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