Randomized Projection Methods for Linear Systems with Arbitrarily Large Sparse Corruptions

Randomized Projection Methods for Corrupted Linear Systems

In applications like medical imaging, error correction, and sensor networks, one needs to solve large-scale linear systems that may be corrupted by a small number of, but arbitrarily large, corruptions. We consider solving such large-scale systems of linear equations $A\mathbf{x}=\mathbf{b}$ that are inconsistent due to corruptions in the measurement vector $\mathbf{b}$. With this as our motiva...

A parallel row projection solver for large sparse linear systems

In this paper we present a parallel iterative solver for large and sparse nonsymmetric linear systems. The solver is based on a row-projection algorithm, derived from the symmetrized block version of the Kacz-marz method with Conjugate Gradient acceleration. A comparison with some h'rylov subspace methods shows the remarkable robustness of this algorithm when applied to systems with eingevalues...

Projection Methods for Linear Systems

The aim of this paper is to give a uniied framework for deriving projection methods for solving systems of linear equations. We shall show that all these methods follow from a unique minimization problem. The particular cases of the methods of steepest descent, Richardson and conjugate gradients will be treated in details. Projection acceleration procedures for accelerating the convergence of a...

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

Iterative methods for sparse linear systems