A family of three-term conjugate gradient projection methods with a restart procedure and their relaxed-inertial extensions for the constrained nonlinear pseudo …

P Liu, H Shao, Z Yuan, X Wu, T Zheng - Numerical Algorithms, 2023 - Springer
Abstract Al-Baali et al.(Comput. Optim. Appl. 60: 89–110, 2015) have proposed a three-term
conjugate gradient method which satisfies a sufficient descent condition and global …

Two families of hybrid conjugate gradient methods with restart procedures and their applications

X Jiang, H Yang, J Jian, X Wu - Optimization Methods and Software, 2023 - Taylor & Francis
In this paper, two families of hybrid conjugate gradient methods with restart procedures are
proposed. Their hybrid conjugate parameters are yielded by projection or convex …

Accelerated Dai-Liao projection method for solving systems of monotone nonlinear equations with application to image deblurring

B Ivanov, GV Milovanović, PS Stanimirović - Journal of Global Optimization, 2023 - Springer
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 …

Improved gradient descent iterations for solving systems of nonlinear equations

PS Stanimirović, BI Shaini, J Sabi'u, A Shah… - Algorithms, 2023 - mdpi.com
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 …

A family of inertial‐based derivative‐free projection methods with a correction step for constrained nonlinear equations and their applications

P Liu, H Shao, Z Yuan, J Zhou - Numerical Linear Algebra with …, 2024 - Wiley Online Library
Numerous attempts have been made to develop efficient methods for solving the system of
constrained nonlinear equations due to its widespread use in diverse engineering …

A survey of gradient methods for solving nonlinear optimization

I Branislav, M Haifeng, M Dijana - Electronic research archive, 2020 - aimsciences.org
The paper surveys, classifies and investigates theoretically and numerically main classes of
line search methods for unconstrained optimization. Quasi-Newton (QN) and conjugate …

Improvement of unconstrained optimization methods based on symmetry involved in neutrosophy

PS Stanimirović, B Ivanov, D Stanujkić, VN Katsikis… - Symmetry, 2023 - mdpi.com
The influence of neutrosophy on many fields of science and technology, as well as its
numerous applications, are evident. Our motivation is to apply neutrosophy for the first time …

A Modified Dai–Liao Conjugate Gradient Method Based on a Scalar Matrix Approximation of Hessian and Its Application

B Ivanov, GV Milovanović, PS Stanimirović… - Journal of …, 2023 - Wiley Online Library
We introduce and investigate proper accelerations of the Dai–Liao (DL) conjugate gradient
(CG) family of iterations for solving large‐scale unconstrained optimization problems. The …

Comparative analysis of accelerated models for solving unconstrained optimization problems with application of Khan's hybrid rule

V Rakočević, MJ Petrović - Mathematics, 2022 - mdpi.com
In this paper, we follow a chronological development of gradient descent methods and its
accelerated variants later on. We specifically emphasise some contemporary approaches …

An accelerated relaxed-inertial strategy based CGP algorithm with restart technique for constrained nonlinear pseudo-monotone equations to image de-blurring …

X Jiang, Z Huang - Journal of Computational and Applied Mathematics, 2024 - Elsevier
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 …