PERBANDINGAN SOLUSI SISTEM PERSAMAAN NONLINEAR MENGGUNAKAN METODE NEWTON-RAPHSON DAN METODE JACOBIAN

System of nonlinear equations is a collection of some nonlinear equations. The Newton-Raphson method and Jacobian method are methods used for solving systems of nonlinear equations. The Newton-Raphson methods uses first and second derivatives and indeed does perform better than the steepest descent...

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Bibliographic Details
Published in:	E-jurnal matematika Vol. 2; no. 2; pp. 11 - 17
Main Authors:	RAMADHANI UTAMI, NANDA NINGTYAS, WIDANA, I NYOMAN, ASIH, NI MADE
Format:	Journal Article
Language:	English
Published:	Universitas Udayana 31-05-2013
Subjects:	Jacobian’s method Newton-Raphson’s method System of nonlinear equations
Online Access:	Get full text
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Summary:	System of nonlinear equations is a collection of some nonlinear equations. The Newton-Raphson method and Jacobian method are methods used for solving systems of nonlinear equations. The Newton-Raphson methods uses first and second derivatives and indeed does perform better than the steepest descent method if the initial point is close to the minimizer. Jacobian method is a method of resolving equations through iteration process using simultaneous equations. If the Newton-Raphson methods and Jacobian methods are compared with the exact value, the Jacobian method is the closest to exact value but has more iterations. In this study the Newton-Raphson method gets the results faster than the Jacobian method (Newton-Raphson iteration method is 5 and 58 in the Jacobian iteration method). In this case, the Jacobian method gets results closer to the exact value.
ISSN:	2303-1751 2303-1751
DOI:	10.24843/MTK.2013.v02.i02.p032