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Preconditioning M-type Coefficient Matrices of Linear Systems
by
Michael Tzoumas
Man. of Env. and Nat. Rec. Dept., Agrinion Univ. School, Univ. of Ioannina, GR-301 00 Agrinion, Greece.
Coauthors: A. Hadjidimos (Math. Dept., Univ. of Crete, GR-714 09 Heraklion, Greece), D. Noutsos (Math. Dept., Univ of Ioannina, GR-451 10 Ioannina, Greece)
In the last four decades many research articles have been devoted to the modifications and improvements of classes of preconditioners for linear systems whose matrix coefficient is a Z- or an M- type matrix in order to improve the convergence rates of the classical iterative schemes (like Jacobi, Gauss-Seidel, SOR, etc.). The present work constitutes an effort towards the generalization and unification of the most common preconditioners used so far.
Date received: January 28, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cagm-10.