| Article ID: | iaor201530235 |
| Volume: | 273 |
| Start Page Number: | 525 |
| End Page Number: | 534 |
| Publication Date: | Jan 2016 |
| Journal: | Applied Mathematics and Computation |
| Authors: | Guo Xue-Ping |
| Keywords: | optimization |
The sequential block‐iterative scheme based on Landweber’s method is a general iterative one for image reconstruction. In this paper, we give the finite termination convergence for this scheme, which provides an approach to choose relaxation coefficients. Furthermore, sufficient and necessary convergence conditions are also established for the sequential block‐iterative scheme case.