A derivative-free iterative scheme that uses the residual vector as search direction for
solving large-scale systems of nonlinear monotone equations is presented. It is closely …

In this paper, combining the inertial-relaxed technique and the Armijo line search technique,
we propose a family of inertial-relaxed derivative-free projection methods (DFPMs) for large …

The goal of this paper is to study approaches to bridge the gap between first-order and
second-order type methods for composite convex programs. Our key observations are:(1) …

The paper proposes and develops a novel inexact gradient method (IGD) for minimizing C 1-
smooth functions with Lipschitzian gradients, ie for problems of C 1, 1 optimization. We show …

In recent years, systems of nonlinear equations have attracted widespread attention and
have been extensively studied. The recent designed Fletcher-Reeves (FR) type methods of …

In this paper, we present a derivative-free algorithm for nonlinear monotone equations with
convex constraints. The search direction is a product of a positive parameter and the …

In this paper, we present a new hybrid spectral-conjugate gradient (SCG) algorithm for
finding approximate solutions to nonlinear monotone operator equations. The hybrid …

A modified Dai-Liao type conjugate gradient method for solving large-scale nonlinear
systems of monotone equations is introduced and investigated in actual research. The …

We introduce a subspace inertial line search algorithm (SILSA), for finding solutions of
nonlinear monotone equations (NME). At each iteration, a new point is generated in a …

In this paper, we propose a fast inertial self-adaptive projection based algorithm for solving
large-scale monotone equations with the relaxation factor. The modified hyperplane …