On the construction of numerical iterative schemes of any order of convergence for solving nonlinear systems of equations

Journal Title: INCAS BULLETIN - Year 2018, Vol 10, Issue 2

Abstract

This paper presents a methodology for constructing iterative schemes of any order of convergence for solving nonlinear systems of equations. It also provides formulas for the order of convergence of any iterative schemes constructed using the method proposed in this paper. A test case is conducted numerically for the second and third order of convergence using a computer algebra system called Maxima. The code used is listed at the end of the test case.

Authors and Affiliations

Stefan HOTHAZIE, Camelia MUNTEANU, Mihaela NASTASE

Keywords

Related Articles

Some Aspects Regarding “Sense and Avoid” Requirements for UAV Integration in the National Air Space

The purpose of this article is to show the importance of mission planning in a fully automatic flight and the critical role of implementing Sense & Avoid (S&A) procedures at different categories of UAVs. Modern o...

New Urban Vertical Axis Wind Turbine Design

This paper develops a different approach for enhancing the performance of Vertical Axis Wind Turbines for the use in the urban or rural environment and remote isolated residential areas. Recently the vertical axis wind t...

Optimization study of using PTC for human body heating dissipation

A better knowledge of the human body heat loses mechanisms is important for both diminishing the number of deaths during the surgical procedures of the patients under effect of full anaesthesia and increasing the efficie...

[b]SIMULATION OF WAKE VORTEX AIRCRAFT IN GROUND EFFECT[/b]

The problem developed in this paper is encountered in airplane aerodynamics and concerns the influence of long life longitudinal wake vortices generated by wing tips or by external obstacles such as reactors or landing g...

Hover flight control of helicopter using optimal control theory

This paper represents the optimal control theory and its application to the full scale helicopters. Generally the control of a helicopter is a hard task, because its system is very nonlinear, coupled and sensitive to the...

Download PDF file
  • EP ID EP297808
  • DOI 10.13111/2066-8201.2018.10.2.19
  • Views 88
  • Downloads 0

How To Cite

Stefan HOTHAZIE, Camelia MUNTEANU, Mihaela NASTASE (2018). On the construction of numerical iterative schemes of any order of convergence for solving nonlinear systems of equations. INCAS BULLETIN, 10(2), 207-220. https://europub.co.uk/articles/-A-297808