Applied-Information Technology with Two Modified Newton-Type Methods in Order of Convergence Six for Solving Nonlinear Equations

Liang Fang

doi:10.4028/www.scientific.net/AMM.540.435

Paper Titles

Research on Boiler Combustion System with Mechanical Properties Based on Adaptive-Fuzzy-Smith Algorithm Design
p.416

Research on SDH-Based Time Comparison with Applied-Information Technology
p.423

Applied Technology in Generation of Image Mask for Integral Stereolithography with Scanning Line Algorithm
p.427

Applied-Information Technology in Improving the Administration of Drugs that Target Safety Information Warning Platform
p.431

Applied-Information Technology with Two Modified Newton-Type Methods in Order of Convergence Six for Solving Nonlinear Equations
p.435

Applied-Information Technology with Trojan Horse Detection Method Based on C5.0 Decision Tree
p.439

Information-Applied Technology in Employee Involvement and Participation (EIP) Based Knowledge Map Building
p.443

Application of VOD Technology and Scheduling Algorithm in VOD Server System
p.448

Information-Applied Technology in Fault Diagnosis Model of RBF Neural Network Based on PSO Algorithm for Analog Circuit
p.452

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 540Applied-Information Technology with Two Modified...

Applied-Information Technology with Two Modified Newton-Type Methods in Order of Convergence Six for Solving Nonlinear Equations

Abstract:

With the rapid development of information technology and wide application of science and technology, nonlinear problems become an important direction of research in the field of numerical calculation. In this paper, we mainly study the iterative algorithm of nonlinear equations. We present and analyze two modified Newton-type methods with order of convergence six for solving nonlinear equations. The methods are free from second derivatives. Both of them require three evaluations of the functions and two evaluations of derivatives in each step. Therefore the efficiency index of the presented methods is 1.431 which is better than that of the classical Newton’s method 1.414. Some numerical results illustrate that the proposed methods are more efficient and perform better than the classical Newton's method.

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Periodical:

Applied Mechanics and Materials (Volume 540)

Pages:

435-438

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.540.435

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Online since:

April 2014

Authors:

Liang Fang*

Keywords:

Efficiency Index, Iterative Method, Newton Method, Nonlinear Equation, Order of Convergence

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