Quasi-Newton methods are a class of numerical methods for solving the problem of
unconstrained optimization. To improve the overall efficiency of resulting algorithms, we use …

One of the most prominent iterative approaches for solving unconstrained optimization
problems is the quasi-Newton method. Their fast convergence and exceptional precision …

The Secant equation has long been the foundation of quasi-Newton methods, as updated
Hessian approximations satisfy the equation with each iteration. Several publications have …

In our research, a new conjugate gradient (CG) method for solving nonlinear systems of
equations is introduced and studied. The proposed method defined as a convex …

Many researchers are interested for developed and improved the conjugate gradient
method for solving large scale unconstrained optimization problems. In this work a new …

The particular choice of the coefficient that scales the latest search direction to compute the
new one is usually the focal point in conjugate gradient methods. In this paper, a quadratic …

We develop a Trust Region method with Regularized Barzilai-Borwein step-size obtained in
a previous paper for solving large-scale unconstrained optimization problems …

The quasi-Newton technique is one of the most well-known iterative solutions for
unconstrained optimization problems. The quasi-Newton techniques are known for their …

In this paper, a new parameter for the conjugate gradient technique was discovered, as well
as a new direction. In principle, utilizing the Dolan-Mor'e performance profile, this path …

One of the major issues in quasi-Newton methods is how to choose an appropriate quasi-
Newton equation while running the algorithm. The quasi-Newton equation proposed by …