REFINEMENTS-OF GENERALIZED JACOBI AND GENERALIZED GAUSS-SEIDEL ITERATION  . .  METHODS FOR SOLVING SYSTEM OF LINEAR EQUATIONS

TESFAY, HAILE W /SAMUEL

dc.contributor.author	TESFAY, HAILE W /SAMUEL
dc.date.accessioned	2017-08-25T03:56:01Z
dc.date.available	2017-08-25T03:56:01Z
dc.date.issued	2017-08-25
dc.identifier.uri	http://hdl.handle.net/123456789/7834
dc.description	A DISSERTATION SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE DEGREE OF MASTER OF SCIENCE IN MATHEMATICS	en_US
dc.description.abstract	The Jacobi and Gauss-Seidel methods are among the basic iterative methods for solving system of linear equations. They are now mostly used as pre conditioners for the popular iterative solvers. The main purpose of this .report is to introduce the new method Known as "REFINEMENT OF GENERALIZED GAUSS-SEIDEL ITERATION METHODS FOR SOLVING SYSTEM OF LINEAR EQUATIONS" for solving linear systems of equations", Ax=b and discuss its convergence. This report is divided in to two Chapters; the first chapter includes introduction and preliminarily which are used for our subsequent discussion of the second chapter. In the second chapter, the derivation of the new method, Refinement of Generalized Gauss Seidel (RGGS) iteration method is discussed thoroughly. Few numerical examples are considered to show the efficiency of this new method over the GGS method and other iterative methods in general.	en_US
dc.subject	Mathematics	en_US
dc.title	REFINEMENTS-OF GENERALIZED JACOBI AND GENERALIZED GAUSS-SEIDEL ITERATION . . METHODS FOR SOLVING SYSTEM OF LINEAR EQUATIONS	en_US
dc.type	Thesis	en_US