Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Vol 1, No 2 (2014): Wisuda Oktober 2014

METODE ITERASI BERTIPE NEWTON UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR DENGAN ORDE KONVERGENSI SEBARANG BILANGAN BULAT

Putri, Ayunda (Unknown)
M., Imran (Unknown)
', Aziskhan (Unknown)



Article Info

Publish Date
16 Jul 2014

Abstract

This article discusses an analytic study of combining iterative methods of order p and q with p and q integers to Newton’s method to obtain a Newton-type iteration method of order p + q. This new method can also be applied to solve systems of nonlinear equations. Numerical computations are carried out consecutively for a method of second and third order, which produce a Newton-type method of fifth order, and methods of third and fifth order, which produce a Newton-type method  of eighth order. The test results support the analytical studies.

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