Modifikasi Metode Iterasi Dua Langkah Menggunakan Kombinasi Linear Tiga Parameter Real

Alfi Husni, Wartono Wartono

Abstract


Makalah ini membahas modifikasi  metode iterasi dua langkah dengan menggunakan kombinasi linier tiga parameter dan tiga metode iterasi berorde konvergensi tiga yang masing-masing dihasilkan dari penjumlahan metode Potra-Ptak dan metode varian Newton, modifikasi metode varian Newton  rata-rata kontra harmonik, dan Metode Newton-Steffensen. Berdasarkan hasil kajian diperoleh bahwa metode iterasi baru memiliki orde konvergensi empat untuk q 1 = -2, q 2 = 3 - q 3 dan q3 ÎÂ yang melibatkan tiga evaluasi fungsi dengan indeks efisiensi sebesar 41/3 » 1,5874. Simulasi numerik diberikan untuk menunjukkan performa metode iterasi baru dibandingkan dengan metode Newton, metode Potra-Ptak, dan metode Chebyshev

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DOI: http://dx.doi.org/10.33603/e.v6i2.1893

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