KELUARGA METODE CHEBYSHEV-HALLEY OPTIMAL BEBAS TURUNAN KEDUA BERDASARKAN RATA-RATA

Abstract

This article discusses the new fourth-order optimal method which is a family of Chebyshev-Halley type method to solve nonlinear equations. This free from second- order derivative method is derived by modifying the Chebyshev-Halley method using arithmetic, contraharmonic and centroidal mean. Computational process requires two functions and one rst-derivative function evaluations with e ciency indexes are 1.587. Furthermore, the computational tests show that the proposed method converges is faster than the Newton's, Chebyshev's, Halley's and King's methods.