Improved Newton-Raphson Methods for Solving Nonlinear Equations

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 5

Abstract

In this paper, we mainly study the numerical algorithms for simple root of nonlinear equations based on Newton-Raphson method. Two modified Newton-Raphson methods for solving nonlinear equations are suggested. Both of the methods are free from second derivatives. Numerical examples are made to show the performance of the presented methods, and to compare with other ones. The numerical results illustrate that the proposed methods are more efficient and performs better than Newton-Raphson method.

Authors and Affiliations

Liang Fang, Lin Pang

Keywords

Related Articles

A New Technique to Solve the Instant Insanity Problem

Instant Insanity [1] consists of four cubes, each of whose six faces are colored with one of the four colors: red, blue, white, and green. The object is to stack the cubes in such a way that each of the four co...

Additive Lie derivations on the algebras of locally measurable operators

Let M be a von Neumann algebra without central summands of type I . We are studying conditions that an additive map L on the algebra of locally measurable operators has the standard form, that is equal to the sum of an a...

Exponentiated Rayleigh Distribution: A Bayes Study Using MCMC Approach Based on Unified Hybrid Censored Data

This paper aims to estimate the unknown parameters, survival and hazard functions for exponentiated Rayleigh distribution based on unfied hybrid censored data.

Continuous Generalized Hankel-type integral wavelet transformation

Using the theory of Hankel-type convolution, continuous generalized Hankel-type  wavelet integral transformation is defined. The generalized Hankel-type integral wavelet transformation is developed.  Using the...

On BCL-Algebra

It has been found that the BCL-algebra is more extensive class than BCK/BCI/BCH algebra. In this paper we study some properties of BCL-algebra of type (2,0) We also find deformation of such algebra and illustrate th...

Download PDF file
  • EP ID EP651794
  • DOI 10.24297/jam.v13i5.6533
  • Views 174
  • Downloads 0

How To Cite

Liang Fang, Lin Pang (2017). Improved Newton-Raphson Methods for Solving Nonlinear Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 13(5), 7403-7407. https://europub.co.uk/articles/-A-651794