International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

A new iterative method for solving absolute value equations

Muhammad Aslam Noor1,2, Javed Iqbal1,  Sanjay  Khattri3 and Eisa Al-Said2
  1Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan. 2Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia. 3Department of Engineering, Stord Hangesund University College, Norway.
Email: [email protected], [email protected], [email protected]

  •  Accepted: 02 March 2011
  •  Published: 04 April 2011

Abstract

 

In this paper, we suggest and analyze a new iterative method for solving the absolute value equations  where is symmetric matrix,  and is unknown. This method can be viewed as a modification of Gauss-Seidel method for solving the absolute value equations. We also discuss the convergence of the proposed method under suitable conditions. Several examples are given to illustrate the implementation and efficiency of the method. Some open problems are also suggested.

 

Key words: Absolute value equations, minimization technique, Gauss-Seidel method, Iterative method.