Randomized iterative algorithms have recently been proposed to solve large-scale linear
systems. In this paper, we present a simple randomized extended average block Kaczmarz …

We present Cimmino's reflection algorithm for the numerical solution of linear systems,
which starts with an arbitrary point in R^n that gets reflected with respect to the system's …

A class of restarted randomized surrounding methods are presented to accelerate the
surrounding algorithms by restarted techniques for solving the linear equations. Theoretical …

Computer tomography has a wide field of applicability; however, most of its applications
assume that the data, obtained from the scans of the examined object, satisfy the …

Kaczmarz algorithm is an iterative projection method for solving system of linear equations
that arise in science and engineering problems in various application domains. In addition to …

We study a new technique for reducing the number of iterations of the block Cimmino
method by replicating rows in the partitioned system, so that we obtain a nondisjoint …

The block Cimmino is a parallel hybrid row-block projection iterative method successfully
used for solving general sparse linear systems. However, the convergence of the method …

For the solution of large sparse unsymmetric systems, Duff et al.[SIAM J. Sci. Comput., 37
(2015), pp. A1248--A1269] proposed an approach based on the block Cimmino iterations …

The block Cimmino method is successfully used for the parallel solution of large linear
systems of equations due to its amenability to parallel processing. Since the convergence …

The hybrid scheme block row-projection method implemented in the ABCD Solver is
designed for solving large sparse unsymmetric systems of equations on distributed memory …