CD Skripsi

Metode Iterasi Dua Langkah Berdasarkan Metode Householder Untuk Menyelesaikan Persamaan Nonlinear

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This final project discusses two-step iteration methods for solving nonlinear equ- ations. ALG1 method is derived by utilizing the Householder method, Taylor expansion, and Newton method as predictors. ALG2 method is a modification of ALG1 using interpolation techniques. Convergence analysis using Taylor expansion and geometric series shows that both methods have a convergence order of six with efficiency indices of 1.4309690811 and 1.5650845801, respecti- vely. Computational tests of both methods against several sixth-order methods demonstrate that ALG1 and ALG2 are equally effective. Visualization of the dynamic aspects also indicates that both methods are viable alternatives for solving nonlinear equations.
Keywords: Nonlinear equations, Householder’s method, iteration method, order of convergence, dynamic aspects

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

2003112317

Penerbit

Pekanbaru : Universitas Riau FMIPA Matematika., 2024

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

2003112317

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

Mutia

Versi lain/terkait

Lampiran Berkas

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