Algoritma Matriks Segitiga Atas pada Metode Eliminasi Gauss dalam Menentukan Determinan
DOI:
https://doi.org/10.32487/jst.v3i2.261Abstract
Metode eliminasi Gauss digunakanuntuk menentukan determinan matriks tanpa memiliki suatu persyaratan dan mampu mempercepat perhitungan untuk berbagai bidang. Sementara itu, algoritma yang diterapkan Zaini dalam penelitiannya melalui pemeriksaan hasil secara satu per satu. Oleh sebab itu, dipandang perlu untuk pengembangan lebih lanjut. Metode pengembangan yang digunakan adalah library research dan praktikum di laboratorium dengan menggunakan Matlab. Data yang terhimpun selanjutnya diuji menggunakan white box dan pengamatan hasil perhitungan yang dibandingkan dengan proses manual. Hasil penelitian menunjukkan bahwa algoritma yang dikembangkan dalam kondisi valid dan hasil perhitungan dalam mengkonstruksimatriks segitiga atas antara algoritma dengan proses manual tidak memiliki perbedaan.
Kata kunci : Algoritma, Matriks segitiga atas, Eliminasi Gauss
References
I. Windra, M. L. Nasution, and M. P. Dewi, “Menentukan Akar-Akar Polinomial dengan Metode Bairstow,” UNP J. Math., vol. 2, no. 1, pp. 24–29, 2013.
W. Windia and S. Pusposutardjo, “Transformasi Sistem Irigasi Subak Yang Berlandaskan Konsep Tri Hita Karana,” Agritech, vol. XXIII, no. 1, pp. 1–15, 2003.
N. Puspita, Nikken Prima;Bahtiar, “Kriptografi Hill Cipher Dengan menggunakan Operasi Matriks,” in Seminar Nasional Ilmu Komputer UNDIP, 2010, pp. 1–5.
H. Lesmana, E. Yusmin, and S. Sayu, “Pendeskripsian Pemahaman Konseptual Siswa Menyelesaikan Soal-Soal Operasi Matriks Kelas X SMK N 3 Pontianak,” J. Pendidik. dan Pembelajaran, vol. 4, no. 12, 2015.
Ruminta, Matriks - Persamaan Linier dan Pemrograman Linier, Edisi Revi. Bandung: Rekayasa Sains, 2014.
Zaini, “Model Penyelesaian Determinan Matriks dengan Metode Eliminasi Gauss Melalui Matrix Laboratory ( MATLAB ),” J. Sains Terap., vol. 3, no. 1, pp. 15–21, 2017.
A. Salihu, “New Method to Calculate Determinants of n × n ( n ≥ 3 ) Matrix , by Reducing Determinants to 2nd Order,” Int. J. Algebr., vol. 6, no. 19, pp. 913–917, 2012.
M. Saeed, S. Nisar, S. Razzaq, R. Masood, and R. Imran, “Gaussian Elimination Method-A Study of Applications,” Glob. J. Sci. Front. Res., vol. XV, no. V, 2015.
A. H. Fauzijah, Ami & Hasan, “Visualisasi Alat Bantu Hitung Pencarian Nilai Determinan Matriks Dengan Metode Chio,” in Seminar Nasional Aplikasi Teknologi Informasi (SNATI), 2006, pp. 45–50.
H. Sutrisno, Metodologi Research. Yogyakarta: Fakultas Psikologi UGM, 1990.
--------, “TEKNIK DASAR KOMPUTASI MATEMATIKA,” in MATEMATIKA KOMPUTASI, 2009, pp. 1–68.
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