A project on Accelerated Over Relaxation Method for Solving a Class of Complex Linear System of Equations

Fiseha, Amare

dc.contributor.author	Fiseha, Amare
dc.date.accessioned	2020-09-08T06:56:23Z
dc.date.available	2020-09-08T06:56:23Z
dc.date.issued	2020-09-07
dc.identifier.uri	http://hdl.handle.net/123456789/11185
dc.description.abstract	Abstract In this project, A Comparison of Accelerated over relaxation method with some iterative methods for solving a class of complex linear system of equations is presented. Further, when the real part of the coefficient matrix in the system are either strictly diagonal dominant (SDD) or both SDD and positive definite (PD), then the investigation of the convergence analysis of Jacobi (J), Gauss Seidel (GS) and Successive Overrelaxation (SOR) methods are done, in addition to Accelerated Overrelaxation (AOR) method, when the accelerated parameter and relaxation parameter vary. The optimal value of the parameters at which AOR methods converge faster have also investigated. Finally, some numerical results ensure that the validation and efficiency of the theoretical results of AOR with comparing J, GS and SOR. The effectiveness of AOR method due to rate of convergence among others is also verified.	en_US
dc.language.iso	en_US	en_US
dc.subject	MATHEMATICS	en_US
dc.title	A project on Accelerated Over Relaxation Method for Solving a Class of Complex Linear System of Equations	en_US
dc.type	Thesis	en_US