Residual Iterative Method for Solving Absolute Value Equations

Muhammad Aslam Noor, Javed Iqbal, Eisa Al-Said
2012 Abstract and Applied Analysis  
We suggest and analyze a residual iterative method for solving absolute value equationsAx-x=bwhereA∈Rn×n,b∈Rnare given andx∈Rnis unknown, using the projection technique. We also discuss the convergence of the proposed method. Several examples are given to illustrate the implementation and efficiency of the method. Comparison with other methods is also given. Results proved in this paper may stimulate further research in this fascinating field.
doi:10.1155/2012/406232 fatcat:rwz27hpckzhs3mu6jmzzczfxg4