A dendritic nanostructure has been observed to form when one salt of the eutectic salt
mixture comes into contact with a SiO 2 nanoparticle, according to investigations in …

The BFGS method is one of the most effective quasi-Newton algorithms for optimization
problems. However, its global convergence for general functions is still open. In this paper …

In this paper, a conjugate gradient algorithm for systems of large-scale nonlinear equations
is designed by the following steps:(i) A three-terms conjugate gradient direction dk is …

It is well known that nonlinear conjugate gradient methods are very effective for large-scale
smooth optimization problems. However, their efficiency has not been widely investigated for …

Abstract Powell (1984) and Dai (2003) constructed respectively a counterexample to show
that the Polak–Ribière–Polyak (PRP) conjugate gradient algorithm fails to globally converge …

In this study, a nanofluid composed of molten solar salt (MSS) and 1.0% SiO2 nanoparticles
by mass was created and analyzed using differential scanning calorimetry (DSC) to …

The conjugate gradient methods (CGMs) are very effective iterative methods for solving
unconstrained optimization problems. In this paper, the second inequality of the strong Wolfe …

Cellulose nanocrystals (CNCs) offer excellent mechanical properties. However, measuring
the strength by performing reliable experiments at the nanoscale is challenging. In this …

In this paper, a nonlinear conjugate gradient algorithm is presented. This given algorithm
possesses the following properties:(i) the sufficient descent property is satisfied;(ii) the trust …

Polyethylene glycol (PEG) is a versatile chemical with numerous applications in various
fields, including biomedical research, pharmaceutical development, and industrial …