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A note on the convergence of the irrational Halley’s iterative algorithm for solving nonlinear equations

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In this note a sufficient condition for the convergence of the irrational Halley’s formula for solving nonlinear equations is obtained. In addition, we propose a new proof for the third-order… Click to show full abstract

In this note a sufficient condition for the convergence of the irrational Halley’s formula for solving nonlinear equations is obtained. In addition, we propose a new proof for the third-order convergence that justifies the use of the plus sign in the algorithm.

Keywords: irrational halley; nonlinear equations; convergence irrational; solving nonlinear; convergence

Journal Title: International Journal of Computer Mathematics
Year Published: 2020

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