Abstract: 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.
Keywords: System of nonlinear
equations; Newton-Raphson’s method; Jacobian’s method
Penulis: NANDA NINGTYAS
RAMADHANI UTAMI, I NYOMAN WIDANA, NI MADE ASIH
Kode Jurnal: jpmatematikadd130013
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