The motive of this work is to find the numerical simulations of a dynamical HIV model along
with the effects of prevention, ie, HIPV nonlinear mathematical system. An advance …

Frictional contact is one of the most challenging problems in computational mechanics.
Typically, it is a tough non-linear problem often requiring several Newton iterations to …

In this article, we address the efficient numerical solution of linear and quadratic
programming problems, often of large scale. With this aim, we devise an infeasible interior …

The aim of this study is to present the numerical solutions of the Liénard nonlinear model by
designing the structure of the computational Gudermannian neural networks (GNNs) along …

In this paper we present general-purpose preconditioners for regularized augmented
systems, and their corresponding normal equations, arising from optimization problems. We …

In this paper we analyze a zeroth-order proximal stochastic gradient method suitable for the
minimization of weakly convex stochastic optimization problems. We consider nonsmooth …

Optimal control problems including partial differential equation (PDE) as well as integer
constraints merge the combinatorial difficulties of integer programming and the challenges …

In this paper we present an efficient active-set method for the solution of convex quadratic
programming problems with general piecewise-linear terms in the objective, with …

In this paper, we address the preconditioned iterative solution of the saddle-point linear
systems arising from the (regularized) Interior Point method applied to linear and quadratic …

We present a quasi-Newton interior-point method appropriate for optimization problems with
pointwise inequality constraints in Hilbert function spaces. Among others, our methodology …