document: On the convergence of the Bermudez-Moreno algorithm with constant parameters A. Bermudez and C. Moreno -LRB- 1981 -RRB- presented a duality numerical algorithm for solving variational inequalities of the second kind . The performance of this algorithm strongly depends on the choice of two constant parameters . Assuming a further hypothesis of the inf-sup type , we present here a convergence theorem that improves on the one presented by A. Bermudez and C. Moreno . We prove that the convergence is linear , and we give the expression of the asymptotic error constant and the explicit form of the optimal parameters , as a function of some constants related to the variational inequality . Finally , we present some numerical examples that confirm the theoretical results
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