A NEW MODIFIED PRECONDITIONED ACCELERATED OVERRELAXATION (AOR) ITERATIVE METHOD FOR L-MATRIX LINEAR ALGEBRAIC SYSTEMS

Please use this identifier to cite or link to this item: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/1737

Title:	A NEW MODIFIED PRECONDITIONED ACCELERATED OVERRELAXATION (AOR) ITERATIVE METHOD FOR L-MATRIX LINEAR ALGEBRAIC SYSTEMS
Authors:	Abdullahi, Isyaku Ndanusa, Abdulrahman
Keywords:	Accelerated Overrelaxation Method, Preconditioner, Convergence, 𝐿−matrix, spectral radius
Issue Date:	2020
Publisher:	Science World Journal
Citation:	I Abdullahi and A Ndanusa (2020). A NEW MODIFIED PRECONDITIONED ACCELERATED OVERRELAXATION (AOR) ITERATIVE METHOD FOR L-MATRIX LINEAR ALGEBRAIC SYSTEMS. Science World Journal, 15(2), 45-50.2
Abstract:	A new preconditioner of the type 𝑃=𝐼+𝑆̅+𝑆′ which generalizes the preconditioners of Evans et al. (2001) and Ndanusa and Adeboye (2012) is proposed. Theoretical investigation of the new preconditioned AOR method is undertaken by advancement of some convergence theorems with well-known procedures. In order to validate the results of theoretical convergence analysis, numerical investigation with sample problems is done. Numerical results of comparison of the proposed preconditioner with some available preconditioners in literature are presented. The results show that convergence of the proposed preconditioned AOR method is faster than that of the unpreconditioned AOR as well as the preconditioned methods in current use.
URI:	http://repository.futminna.edu.ng:8080/jspui/handle/123456789/1737
ISSN:	ISSN 1597-6343
Appears in Collections:	Mathematics

Files in This Item:

File	Description	Size	Format
precond aor.pdf	www.scienceworldjournal.org	378.91 kB	Adobe PDF	View/Open