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A New Approach to Find Non-simple Zero’s of Functions

Mohsen Jamali, Mehdi Delkhosh

Abstract


Finding acceptable approximation of zeros of even multiplicity of functions by the prevalent method of numerical analysis is impossible or difficult. In this paper we introduce the Intersecting Lines Method and its modified version applying to approximate zeros of even multiplicity of functions. We apply this method to approximate relative extremum points of differentiable functions.


Keywords


Convex function, zero of even multiplicity of function, Newton-Raphson method, relative extrema of function

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