Preprint of the project:12-040 Wolf-Jürgen Beyn, Janosch Rieger. An existing solvability result for relaxed one-sided Lipschitz algebraic inclusions is substantially improved. This enhanced solvability result allows the design of a robust iterative method for the numerical solution of the algebraic inclusion. Sharp error estimates for this method, illustrative analytic examples and a numerical example are provided.
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