This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

Carpathian Journal of Mathematics, Vol. 31, No. 1 (2015), pp. 11-30 (20 pages) We use the method of recurrent functions to provide a new semilocal convergence analysis for secant-like methods in order ...

The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...

In general, when a quasi-Newton method is applied to solve a system of nonlinear equations, the quasi-Newton direction is not necessarily a descent direction for the norm function. In this paper, we ...

Abstract: Quasi-Newton methods are the efficient alternative to Newton methods for solving nonlinear equation systems, since it can overcome the troubles of mass computing or hard to compute for ...

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the ...

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 ...

This project involves solving a four-loop pipe network problem with given inflows and outflows. The goal is to determine the steady-state flow in each pipe using the Newton-Raphson method for ...