Newton Raphson Single And Multiple Variable Methods To Obtain The Solutions Of Linear And Non Linear Equations

Vishal V. Mehtre; Aman Singh

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Newton Raphson Single And Multiple Variable Methods To Obtain The Solutions Of Linear And Non Linear Equations

Vishal V. Mehtre Aman Singh

Subject area: Science,Engineering and Technology · Area of research: Electrical Engineering

Abstract

The paper is about Newton Raphson Method which is all inclusive to solve the non-square and non-linear problems. The study also aims to comparing the rate of performance, rate of convergence of bisection method, root finding of the Newton meted and Secant method. It also represents a new approach of calculation using nonlinear equation and this will be similar to Newton Raphson Method and inverse Jacobian matrix will be used for the iteration process and this will be further used for distributed power load flow calculation and will also be useful in some of the applications. The paper also difference the use of built in derivative function and self-derivative function in solving non-linear equation in scientific calculator. And paper also discuss about single variable and multi variable Newton-Raphson techniques.

References

[1] Biswa Nath Datta (2012), Lecture Notes on Numerical Solution of root Finding Problems. www.math.niu.edu/dattab

[2] P. Deaflhard, “Newton Methods for Nonlinear Problem and Adaptive Algorithms”, Springer Series in Computational Mathematics, Vol. 35. Springer, Berlin, 2004

[3] Galdino, Sergio (2011). "A family of newton raphson root-finding methods".11 July 2017

[4] Smithe, D. E. (1958)

[5] , History of Mathematics, II, Dover

[6] Ehiwario, J. C., Aghamie, “Comparative study of Bisection method, Newton-Raphsons and Regula-Falsi method”, S.O, ISOR Journal of Engineering, ISSN (e): 2250-3021, Vol. 04, Issue 04, April 2014.

[7] Edwine, ”Newton-Raphson Method”, http:/www.algebra.com

How to cite this paper

Vishal V. Mehtre, Aman Singh "Newton Raphson Single And Multiple Variable Methods To Obtain The Solutions Of Linear And Non Linear Equations" Iconic Research And Engineering Journals Volume 3 Issue 6 2019 Page 45-47

Vishal V. Mehtre, Aman Singh "Newton Raphson Single And Multiple Variable Methods To Obtain The Solutions Of Linear And Non Linear Equations" Iconic Research And Engineering Journals, vol. 3, no. 6, Dec. 2019

Vishal V. Mehtre, Aman Singh (2019). Newton Raphson Single And Multiple Variable Methods To Obtain The Solutions Of Linear And Non Linear Equations. Iconic Research And Engineering Journals, 3(6).

Vishal V. Mehtre, Aman Singh "Newton Raphson Single And Multiple Variable Methods To Obtain The Solutions Of Linear And Non Linear Equations" Iconic Research And Engineering Journals, vol. 3, no. 6, Dec. 2019.

@article{1701798,
      author = {Vishal V. Mehtre, Aman Singh},
      title = {Newton Raphson Single And Multiple Variable Methods To Obtain The Solutions Of Linear And Non Linear Equations},
      journal = {Iconic Research And Engineering Journals},
      year = {2019},
      volume = {3},
      number = {6},
      pages = {45-47},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1701798.pdf},
      abstract = {The paper is about Newton Raphson Method which is all inclusive to solve the non-square and non-linear problems. The study also aims to comparing the rate of performance, rate of convergence of bisection method, root finding of the Newton meted and Secant method. It also represents a new approach of calculation using nonlinear equation and this will be similar to Newton Raphson Method and inverse Jacobian matrix will be used for the iteration process and this will be further used for distributed power load flow calculation and will also be useful in some of the applications. The paper also difference the use of built in derivative function and self-derivative function in solving non-linear equation in scientific calculator. And paper also discuss about single variable and multi variable Newton-Raphson techniques.},
      month = {December},
  }