NEW NOVEL ITERATIVE SCHEMES FOR SOLVING GENERAL ABSOLUTE VALUE EQUATIONS
DOI:
https://doi.org/10.5281/khsh8r87Abstract
In this paper, we consider the general absolute value equations,
which can be used to study the odd-order and nonsymmetric boundary value
problems. It is shown that Lax-Milgram lemma and absolute values equations
can be obtained as special cases. We use the auxiliary principle technique to
prove the existence of a solution to the general absolute value equations. This
technique is also used to suggest some new iterative methods for solving the
general absolute value equations. The convergence analysis of the proposed
methods is analyzed under some mild conditions. Ideas and techniques of this
paper may stimulate further research
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