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New Preconditioners For Stationary Iterative Methods

BROWSE_DETAIL_CREATION_DATE: 11-08-2017

BROWSE_DETAIL_IDENTIFIER_SECTION

BROWSE_DETAIL_TYPE: Thesis

BROWSE_DETAIL_SUB_TYPE: Masters

BROWSE_DETAIL_PUBLISH_STATE: Unpublished

BROWSE_DETAIL_FORMAT: PDF Document

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: Mathematics,

BROWSE_DETAIL_CREATORS: Atya, Naima İbrahim (Author),

BROWSE_DETAIL_CONTRIBUTERS: Özban, Ahmet Yaşar (Advisor),

BROWSE_DETAIL_TAB_KEYWORDS

Systems of linear equations, Preconditioning, Preconditioners, Iterativemethods, Convergence


BROWSE_DETAIL_TAB_ABSTRACT

The convergence of an iterative method used for the solution of systems of linearequation depends on the properties of the spectrum of the matrix of the linear system.So, to speed up the convergence, the given linear system is transformed into anequivalent one by linear transformations, known as preconditioners.In this thesis, we introduce two new preconditioners for Jacobi and Gauss-Seidel (GS)iterative methods for the solution of linear systems with strictly columnwise diagonallydominant (SCDD) L


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