The block Kaczmarz method is an iterative scheme for solving overdetermined least-squares
problems. At each step, the algorithm projects the current iterate onto the solution space of a …

The Kaczmarz method is an iterative algorithm for solving systems of linear equations Ax= b.
Theoretical convergence rates for this algorithm were largely unknown until recently when …

Due to their utility and broad applicability in many areas of applied mathematics and
physical science (eg, computerized tomography, Navier–Stokes equations, pattern …

The Kaczmarz method is an iterative algorithm for solving systems of linear equalities and
inequalities, that iteratively projects onto these constraints. Recently, Strohmer and …

The Kaczmarz algorithm is an iterative method for reconstructing a signal x∈ ℝ d from an
overcomplete collection of linear measurements yn=< x, φ n>, n≥ 1. We prove quantitative …

This paper exposes one of the more fascinating features of Kaczmarz's method. Let A x= b
denote the linear system to solve, where A∈ R m× n and b=(b 1, b 2,…, bm) T∈ R m. Let the …

Massive multiple-input-multiple-output (M-MIMO) features a capability for spatial
multiplexing of large number of users. This number becomes even more extreme in extra …

In this paper, we make a theoretical analysis of the convergence rates of Kaczmarz and
extended Kaczmarz projection algorithms for some of the most practically used control …

The Randomized Kaczmarz Algorithm is a randomized method which aims at solving a
consistent system of over determined linear equations. This letter discusses how to find an …

The Kaczmarz method, or the algebraic reconstruction technique (ART), is a popular method
for solving large-scale overdetermined systems of equations. Recently, Strohmer et al …