THE SPECTRAL-ANALYSIS OF THE MATRIX MULTISPLITTING METHOD FOR THE ONE-DIMENSIONAL MODEL PROBLEM

Authors
BAI ZZ SUN JC SZYLD DB
Citation
Zz. Bai et al., THE SPECTRAL-ANALYSIS OF THE MATRIX MULTISPLITTING METHOD FOR THE ONE-DIMENSIONAL MODEL PROBLEM, Computers & mathematics with applications (1987), 36(2), 1998, pp. 31-38
Citations number
10
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications (1987) → ACNP
ISSN journal
08981221
Volume
36
Issue
2
Year of publication
1998
Pages
31 - 38
Database
ISI
SICI code
0898-1221(1998)36:2<31:TSOTMM>2.0.ZU;2-J
Abstract
For the system of linear equations resulting from the discretization o f the one-dimensional Poisson equation, we investigate the influences of the multiple splittings and the weighting matrices upon the converg ence rate of the parallel matrix multisplitting method. The results sh ow that the convergence rate is only dependent on the sies of the spli ttings, the degrees of the overlap pings, and the distributions of the tasks, but independent of the quantities of the weightings. (C) 1998 Elsevier Science Ltd. All rights reserved.