Interesting Engineering

Researchers unlock new potential in Newton’s method, 300 years after its creation

In the 1680s, Isaac Newton devised a method to tackle this problemiStock Photos For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex ...
IEEE

An Adaptive Quasi-Newton Equation for Unconstrained Optimization

Abstract: 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 ...
IEEE

Using a New Type Quasi-Newton Equation for Unconstrained Optimization

Abstract: The quasi-Newton equation is the very foundation of an assortment of the quasi-Newton methods. In this paper, we derive a new quasi-Newton equation with a gradient-difference vector which ...
Scientific Research Publishing

V. Kanwar & S. K. Tomar, “Exponentially fitted variants of Newton’s method with quadratic and cubic convergence,” International Journal of Computer Mathematics, Vol. 86 ...

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 ...
Scientific Research Publishing

New Variants of Newton’s Method for Nonlinear Unconstrained Optimization Problems ()

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 ...