ABSTRACTThis paper presents a three

ABSTRACT
This paper presents a three-step iterative method with fifth-order iterative convergence as a new modification of Newton’s method for finding multiple roots of nonlinear equations with unknown multiplicity m and for finding system of nonlinear equations. Its order of convergence is analyzed and proved. Results for some numerical examples show the efficiency of the new method.

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ABSTRACTThis paper presents a three-step iterative method with fifth-order iterative convergence as a new modification of Newton’s method for finding multiple roots of nonlinear equations with unknown multiplicity m and for finding system of nonlinear equations. Its order of convergence is analyzed and proved. Results for some numerical examples show the efficiency of the new method.

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ABSTRAK
Makalah ini menyajikan tiga langkah metode iteratif dengan kelima-order konvergensi berulang sebagai modifikasi baru metode Newton untuk menemukan beberapa akar persamaan nonlinear dengan diketahui banyaknya m dan untuk sistem persamaan nonlinier menemukan. Order konvergensi dianalisis dan terbukti. Hasil untuk beberapa contoh numerik menunjukkan efisiensi dari metode baru.

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