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

This research proposes and investigates some improvements in gradient descent iterations
that can be applied for solving system of nonlinear equations (SNE). In the available …

In matrix analysis, the scaling technique reduces the chances of an ill-conditioning of the
matrix. This article proposes a one-parameter scaling memoryless Davidon–Fletcher …

Derivative-free method based on DFP updating formula for solving convex constrained
nonlinear monotone equations and application Page 1 http://www.aimspress.com/journal/Math …

In this paper, we propose a general framework that provides a unified convergence analysis
of the derivative-free projection-based method (DFPM) for solving large-scale constrained …

Based on the acceleration effect of the inertial extrapolation technique on the convergence
of iterative sequences, the number of algorithms incorporating this technique has gradually …

In this paper, we propose two scaled Dai–Yuan (DY) directions for solving constrained
monotone nonlinear systems. The proposed directions satisfy the sufficient descent …

Unconstrained optimization problems often arise from mining of big data and scientific
computing. On the basis of a modified gradient-difference, this article aims to present a new …

In this paper, we propose a hybrid spectral gradient algorithm for solving the constrained
nonlinear monotone systems with an application to signal recovery. The proposed algorithm …

In this paper, we derived a modified conjugate gradient (CG) parameter by adopting the
Birgin and Mart i´ nez strategy using the descent three-term CG direction and the Newton …