Abstract:
This article discusses the iterative method based on minimization techniques to solve
the system of the absolute value equations. The analysis begins by discussing how
to obtain a solution by applying this method. The convergence of the methods
discussed is shown by looking at the value of the difference of the function values at
two consecutive iterations which is equal to the error of the method at the specified
norm. At the end of the discussion a computational example is given, to see how
the performance of the iterative method. This article is a review of articles from
Noor et al.’s [Optimization Letters, 6 (2012), 1027–1033].
