A NONLINEAR ABS-TYPE ALGORITHM DEPENDING ON NONLINEARITY FOR SOLVING NONLINEAR SYSTEM OF EQUATIONS

A new ABS-type algorithm depending on nonlinearity is proposed for solving nonlinear system of equations. The nonlinearity of the algorithm depends on curvature of curves. Preliminary numerical experiments show that the new ABS algorithm improves the convergence. At least it has the same iteration cycles comparing with the original nonlinear ABS algorithm.