4 papers
The standard form and convergence theory of the relaxation Kaczmarz-Tanabe method for solving linear systems
Chuan-gang Kang
The Kaczmarz method is a popular iterative method for solving consistent, overdetermined linear system such as medical imaging in computerized tomography. The Kaczmarz's iteration…
The standard forms and convergence theory of the Kaczmarz-Tanabe type methods for solving linear systems
Chuan-gang Kang
In this paper, we consider the standard forms of two kinds of Kaczmarz-Tanabe type methods, one is derived from the Kaczmarz method and the other is derived from the symmetric Kacz…
Convergence rates of the Kaczmarz-Tanabe method for linear systems
Chuan-gang Kang
In this paper, we investigate the Kaczmarz-Tanabe method for exact and inexact linear systems. The Kaczmarz-Tanabe method is derived from the Kaczmarz method, but is more stable th…
Error estimates of Kaczmarz and randomized Kaczmarz methods
Chuan-gang Kang, Heng Zhou
The Kaczmarz method is an iterative projection scheme for solving con-sistent system . It is later extended to the inconsistent and ill-posed linear problems. But the class…