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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 117

Volume : 17 , Issue : 1
DOI:
Author :
Najmuddin Ahmad (Department of Mathematics, Integral University, Kursi Rd, Lucknow, Uttar Pradesh - 226026, INDIA)
Vimal Pratap Singh (Department of Mathematics, Integral University, Kursi Rd, Lucknow, Uttar Pradesh - 226026, INDIA)

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

Stability, Two - Step, Three - Step, nonlinear equations, iterative methods.

A.M.S. subject classification

65H05.

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