Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms

Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms

Blog Article

Recent developments in the field of image reconstruction have given rise to the use of projective iterative methods, such as Kaczmarz and argan oil pure purple Jacobi, when solving inconsistent linear least squares problems.In this paper we try to generalize previous results concerning extended block versions of these two algorithms.We replace the inverse operator with the Moore-Penrose pseudoinverse and try to prove convergence under weaker assumptions.

In order to accomplish this task, we show that these algorithms are special cases of a general iterative process for read more which convergence is already established.