| Title | Convergence Results of Landweber Iterations for Linear Systems |
| Authors | Qu, Gang-rong Jiang, Ming Yang, Yuan-jian |
| Affiliation | Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China. Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China. Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China. |
| Keywords | algebraic image reconstruction Landweber scheme weighted least-squares convergence conditions RECONSTRUCTION ALGORITHMS IMAGE-RECONSTRUCTION EQUATIONS |
| Issue Date | 2014 |
| Publisher | acta mathematicae applicatae sinica english series |
| Citation | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES.2014,30,(1),111-118. |
| Abstract | The Landweber scheme is a method for algebraic image reconstructions. The convergence behavior of the Landweber scheme is of both theoretical and practical importance. Using the diagonalization of matrix, we derive a neat iterative representation formula for the Landweber schemes and consequently establish the convergence conditions of Landweber iteration. This work refines our previous convergence results on the Landweber scheme. |
| URI | http://hdl.handle.net/20.500.11897/218430 |
| ISSN | 0168-9673 |
| DOI | 10.1007/s10255-013-0299-y |
| Indexed | SCI(E) 中国科学引文数据库(CSCD) |
| Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 |
