Modified Dai-Yuan iterative scheme for nonlinear systems and its application

By exploiting the idea employed in spectral Dai-Yuan method by Xue et al. [IEICE Trans. Inf. Syst. 101 (12)2984-2990 (2018)] and approach applied modified Hager-Zhang scheme for nonsmooth optimization [PLos ONE 11(10): e0164289 (2016)], we develop a type iterative convex constrained nonlinear monotone system. The scheme's algorithm is obtained combining its search direction with projection [Kluwer Academic Publishers, pp. 355-369(1998)]. One of new attribute that it derivative-free, which makes ideal solving non-smooth problems. Furthermore, demonstrate method's application image de-blurring problems comparing performance recent effective method. employing mild assumptions, global convergence determined results some numerical experiments show to be favorable compared methods.