In this study, we develop two new non-monotone line searches and combine them into a spectral residual method. Furthermore, we apply these methods to complementary problems and discuss global convergence under several suitable conditions. Numerical experiments support the efficiency of the presented methods.
['Xiangli Li', 'Xiao Guo']
Spectral residual methods with two new non-monotone line searches for large-scale nonlinear systems of equations