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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 17, Issue 1 Article
Research Article

STUDY OF STABILITY CRITERION FOR SOME ITERATIVE METHODS FOR SOLVING NON LINEAR EQUATION

N
Najmuddin Ahmad Department of Mathematics, Integral University, Kursi Rd, Lucknow, Uttar Pradesh - 226026, INDIA
V
Vimal Pratap Singh Department of Mathematics, Integral University, Kursi Rd, Lucknow, Uttar Pradesh - 226026, INDIA
Volume 17, Issue 1 Pages 461-470 April 30, 2021 278 downloads
Article overview

Abstract

Research is concerned with the study of stability criterion for some iterative methods for solving non linear equations. We introduce the comparative study for stability of iterative methods for solving nonlinear equations along with several example. Some simple but powerful criterion for local stability of fixed points are established. It is also established that the iterative method New Two Step - 2 (NTS-2) and New Three Step Method - 2 (NTSM-2) comparably more hyperbolic asymptotically stable and provides better result.

Keywords and Phrases

StabilityTwo - StepThree - Stepnonlinear equationsiterative methods.

AMS Subject Classification

65H05.

Reference information

How to Cite

Najmuddin Ahmad, Vimal Pratap Singh (2021). STUDY OF STABILITY CRITERION FOR SOME ITERATIVE METHODS FOR SOLVING NON LINEAR EQUATION. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 461-470.
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