Incomplete alternating projection method for large inconsistent linear systems

Incomplete oblique projections for solving large inconsistent linear systems

The authors introduced in previously published papers acceleration schemes for Projected Aggregation Methods (PAM), aiming at solving consistent linear systems of equalities and inequalities. They have used the basic idea of forcing each iterate to belong to the aggregate hyperplane generated in the previous iteration. That scheme has been applied to a variety of projection algorithms for solvi...

An Incomplete Projections Algorithm for Solving Large Inconsistent Linear Systems

The Projected Aggregation Methods (PAM) for solving linear systems of equalities and/or inequalities, generate a new iterate x k+1 by projecting the current point x k onto a separating hyperplane generated by a given linear combination of the original hyperplanes and/or halfspaces. The authors have introduced in several papers new acceleration schemes for solving systems of linear equations and...

A METHOD FOR SOLVING FUZZY LINEAR SYSTEMS

In this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. Also necessary and sufficient conditions for existenceof solution are given. Some numerical examples illustrate the efficiencyof the method.

Defuzzification method for solving fuzzy linear systems

Accelerated Methods for the Block Cimmino Row Projection Method for Solving Large Nonsymmetric Linear Systems

The use of the row block projection method (block Cimmino) for solving nonsymmetric linear system Ax = b gives rise to a symmetric positive definite system G x = g, where B is the sum of orthogonal projection matrices Pi = Ai(ATAi)-'AT, and where the Ar's are block rows of A. In this paper we present an efficient implementation of the cgT method for solving the derived symmetric positive defini...