Second Degree Generalized Successive Over Relaxation Method for Solving System of Linear Equations

  • Firew Hailu Bonga College of Teachers’ Education
  • Genanew Gofe Gonfa Salale University
  • Hailu Muleta Chemeda Jimma University
Keywords: Second Degree; Generalized Gauss Seidel; Successive over relaxation; Convergence.

Abstract

In this paper, a second degree generalized successive over relaxation iterative method for solving system of linear equations based on the decomposition 

A= Dm+Lm+U is presented and the convergence properties of the proposed method are discussed. Two numerical examples are considered to show the efficiency of the proposed method. The results presented in tables show that the Second Degree Generalized Successive Over Relaxation Iterative method is more efficient than the other methods considered based on number of iterations, computational running time and accuracy.

Keywords: Second Degree, Generalized Gauss Seidel, Successive over relaxation, Convergence.

Author Biographies

Firew Hailu, Bonga College of Teachers’ Education

Department of Mathematics, Bonga College of Teachers’ Education, Bonga, Ethiopia

Genanew Gofe Gonfa, Salale University

Department of Mathematics, College of Natural Sciences, Salale University, Salale, Ethiopia

Hailu Muleta Chemeda, Jimma University

Department of Mathematics, College of Natural Sciences, Jimma University, Jimma, Ethiopia

Published
2020-04-30
Section
Research Paper

Journal Identifiers


eISSN: 2220-184X
print ISSN: 2073-073X