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

  • NANDA NINGTYAS RAMADHANI UTAMI Faculty of Mathematics and Natural Sciences, Udayana University
  • I NYOMAN WIDANA Faculty of Mathematics and Natural Sciences, Udayana University
  • NI MADE ASIH Faculty of Mathematics and Natural Sciences, Udayana University
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Abstrak

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.

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##submission.authorBiographies##

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Jurusan Matematika, FMIPA Universitas Udayana
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Jurusan Matematika, FMIPA Universitas Udayana
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Jurusan Matematika, FMIPA Universitas Udayana
Diterbitkan
2013-05-31
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RAMADHANI UTAMI, NANDA NINGTYAS; WIDANA, I NYOMAN; ASIH, NI MADE. PERBANDINGAN SOLUSI SISTEM PERSAMAAN NONLINEAR MENGGUNAKAN METODE NEWTON-RAPHSON DAN METODE JACOBIAN. E-Jurnal Matematika, [S.l.], v. 2, n. 2, p. 11-17, may 2013. ISSN 2303-1751. Tersedia pada: <https://ojs.unud.ac.id/index.php/mtk/article/view/6286>. Tanggal Akses: 14 oct. 2025 doi: https://doi.org/10.24843/MTK.2013.v02.i02.p032.
Bagian
Articles

Kata Kunci

System of nonlinear equations; Newton-Raphson’s method; Jacobian’s method

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