This repository contains Python implementations of common unconstrained optimization algorithms: Steepest Descent and Newton's Method, along with several variants. The algorithms are tested on ...

In this paper the generalized Newton's method for LC¹ unconstrained optimization is investigated. This method is an extension of Newton's method for the smooth optimization. Some basic concepts are ...

Newton method, invented by physicist Isaac Newton about 300 years ago, is an algorithm that still plays an important role in a wide range of fields, including logistics, financial engineering ...

ABSTRACT: In this paper, we propose new variants of Newton’s method based on quadrature formula and power mean for solving nonlinear unconstrained optimization problems. It is proved that the order of ...

ABSTRACT: In this paper, we propose new variants of Newton’s method based on quadrature formula and power mean for solving nonlinear unconstrained optimization problems. It is proved that the order of ...

The quasi-Newton methods is an effective and interesting methods and their good accuracy for unconstrained optimization. In this paper, a novel quasi-Newton equation is given based on the quadratic ...

To overcome this difficulty, this paper proposes a new powerful toolbox which permits off-line robustness improvement of multivariable unconstrained MPC via the convex optimization of the Youla ...