In structural reliability analysis, robust and efficient sampling methods that address low
failure probabilities are vital challenges. In this paper, a novel dynamical adaptive enhanced …

In this paper, a hybrid version of the Rivaie–Mustafa–Ismail–Leong, RMIL for short,
conjugate gradient method is proposed for unconstrained optimization problem. The search …

In this paper, an accelerated spectral conjugate gradient projection algorithm is proposed for
solving the constrained nonlinear pseudo-monotone equations. We set a restart procedure …

In this paper, using the concept of inertial extrapolation, we introduce a globally convergent
inertial extrapolation method for solving nonlinear equations with convex constraints for …

In optimization theory, to speed up the convergence of iterative procedures, many
mathematicians often use the inertial extrapolation method. In this article, based on the three …

The conjugate gradient projection method (CGPM) has good theoretical properties and
numerical performance for solving large-scale nonlinear monotone equations with convex …

In recent times, various algorithms have been incorporated with the inertial extrapolation
step to speed up the convergence of the sequence generated by these algorithms. As far as …

In this paper, a derivative-free method for solving convex constrained nonlinear equations
involving a monotone operator with a Lipschitz condition imposed on the underlying …

The motive of this study is to provide the numerical performances of the monkeypox
transmission system (MTS) by applying the novel stochastic procedure based on the radial …

This paper discusses a new derivative-free line search method for nonlinear monotone
equations. It uses a derivative-free direction based on Dai–Liao method, along which an …