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Rahmawati
Universitas Islam Negeri Sultan Syarif Kasim Riau
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Industrial & Manufacturing Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation Other

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Journal : JURNAL ILMIAH MATEMATIKA DAN TERAPAN

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Modifikasi Metode Householder Tiga Parameter yang Bebas Turunan Kedua dengan Orde Konvergensi Optimal Wartono; M Zulianti; Rahmawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2021.v18.i1.15434

Abstract

The Householder’s method is one of the iterative methods with a third-order convergence that used to solve a nonlinear equation. In this paper, the authors modified the iterative method using the expansion of second order Taylor’s series and approximated its second derivative using equality of two the third-order iterative methods. Based on the results of the study, it was found that the new iterative method has a fourth-order of convergence and requires three evaluations of function with an efficiency index of 1,587401. Numerical simulation is given by using several functions to compare the performance between the new method with other iterative methods. The results of numerical simulation show that the performance of the new method is better than other iterative methods.
Co-Authors Ade Novia Rahma Akira Mikail Andrepa Yunika Putri Anggi Hanafiah Anneke De Resta Aprijon Aprijon Aprijon Aprijon Aryati Citra Corry Corazon Marzuki Defri Ahmad Dina Agustina Dyan Elvita Sari Eka Pandu Cynthia Elfira Safitri Elfira Saftri Ernila Sari Gulo Esty Erizona Fitri Aryani fitri aryani Fitriani Muttakin Fitriani Muttakin Fitry Aryani Hernita, Hernita Intan Eria Elfi Irma Suryani Irma Suryani M Zulianti M. Rafly Ramaesa Putra Maura Anggelina Maura Anggelina Mohammad Soleh Mohammad Soleh Muhammad Safrudin Nour Fitri Novi Andriani, Novi Novia Arda Putri Nurjannah Nurjannah Okta Dinata Rahima Dina Rahmadeni Rahmadeni Rara Sandhy Winanda Repi Trisna Winti Revia Agustiwari Ricken Husnudzan Vitho Ricken Husnudzan Vitho Rima Erfianti Saniyah Saniyah Sisi Saputri Siti Mardhiyah Jauza Sri Basriati Syarifah Inayati Syarifah Inayati Tiara Fitri Wartono Wita Wahyuni Yuliana Yuliana Yuniza Yuniza Yuslenita Muda yuslenita muda Yusnita Sari Zukrianto zukrianto zukrianto Zukrianto Zukrianto Zukrianto, Zukrianto