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

Main Authors: Putri, Ayunda, M., Imran, ', Aziskhan
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam , 2014
Online Access: http://jom.unri.ac.id/index.php/JOMFMIPA/article/view/3881
http://jom.unri.ac.id/index.php/JOMFMIPA/article/view/3881/3772
Daftar Isi:
  • 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.