THE PARALLEL MULTISPLITTING GENERALIZED ITERATIVE METHODS

Abstract

In this paper we present a multisplitting generalized iterative method, for solving large nonsingular systems of equations Ax = b. This multisplitting iterative method contains the multisplitting GAOR method and its special cases. An analysis of its convergence is given, considering the matrix A as an H-matrix. Under the same assumption, we obtain sufficient convergence conditions for a multisplitting method, which also generalizes the method of arithmetic mean.

Keywords:

• Multisplitting
• generalised iterative method
• convergence
• linear systems

C. R. CATEGORIES:

• G.1.3

Additional information

Notes on contributors

M. M. MARTINS

Dept. of Mathematics, University of Coimbra, Portugal. Supported by Junta Nacional de Investigacāo Cientifica and by British Council.