Algorithms (Jul 2015)

A Quartically Convergent Jarratt-Type Method for Nonlinear System of Equations

  • Mohammad Ghorbanzadeh,
  • Fazlollah Soleymani

DOI
https://doi.org/10.3390/a8030415
Journal volume & issue
Vol. 8, no. 3
pp. 415 – 423

Abstract

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In this work, we propose a new fourth-order Jarratt-type method for solving systems of nonlinear equations. The local convergence order of the method is proven analytically. Finally, we validate our results via some numerical experiments including an application to the Chandrashekar integral equations.

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