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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Dedi Mangampu Tua
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Mathematics

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KONSTRUKSI SEDERHANA METODE ITERASI BARU ORDE TIGA Dedi Mangampu Tua; Syamsudhuha '; Asmara Karma
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

We discuss two modications of Newton's methods for solving a nonlinear equation, constructed from two known third-order iterative methods. Our approach is to approximate a derivative from the improvement of the two known third-order iterative methods. Analytically it is shown that each modication of Newton's methodhas third order of convergence, and it requires three function evaluations per iteration. Therefore, its eciency index is 1:414, which is the same as Newton's method. Numerical examples show both methods are competitive with known third-order methods.
Co-Authors Asmara Karma Cecep Kusmana