METODE PEMBAGIAN SINTETIK UNTUK MENGHITUNG INVERS MATRIKS VANDERMONDE DAN APLIKASINYA DALAM MEMPREDIKSI HARGA SAHAM
DOI:
https://doi.org/10.25077/jmu.10.4.519-526.2021Abstract
Vandermonde memiliki peranan yang penting dalam bidang matematika dan terapannya. Terdapat beberapa metode untuk menghitung invers matriks Vandermode, diantaranya metode pembagian sintetik. Metode ini memiliki kelebihan yaitu tidak memerlukan perkalian matriks maupun perhitungan determinan dalam menghitung invers matriks. Tujuan dari penelitian ini adalah mengaplikasikan metode tersebut untuk memprediksi harga saham BBRI pada bulan April dan Agustus tahun 2019. Hasil yang diperoleh adalah harga saham pada bulan April sebesar IDR 4.330 dan sebesar IDR 5.180 pada bulan Agustus.
Kata Kunci: Matriks Vandermonde, Pembagian Sintetik, Prediksi
References
Marzuki, C. C., Aryani, F., 2019, Invers Matriks Toeplitz Bentuk Khusus Menggunakan Metode Adjoin, Jurnal Sains Matematika dan Statistika, 5(1) : 58 - 67
Rawashdeh, E., 2019, A Simple Method for Finding The Inverse Matrix of Vandermonde Matrix, MATEMATICKI VESNIK, 3(71) : 207 - 213
Klein, A., Spreij, P., 2003, Some Results on Vandermonde Matrices with an Application to Time Series Analysis, SIAM Journal Matrix Analysis and Applications, 25(1) : 213 - 223
Eisinberg, A., Fedele, G., 2006, On The Inversion of The Vandermonde Matrix, ELSEVIER Applied Mathematics and Computation, 174(2) : 1384 - 1397
Pangruruk, F. A., Barus, S. P., Siregar, B., 2020, Peramalan Harga Saham Tutup dengan Metode Interpolasi Polinom Lagrange, Seminar Nasional VARIANSI, 118 - 126
Cessa, H. M., Eguibar, F. S., 2011, Inverse of the Vandermonde and Vandermonde Confluent Matrices, Applied Mathematics and Information Sciences, 5(3) : 361 - 366
Oruc, H., 2007, L U Factorization of the Vandermonde Matrix and its Applications, ELSEVIER Applied Mathematics Letters, 20(9) : 982 - 987
Man, Y. K., 2015, On The Inversion of Vandermonde Matrix Via Partial Fraction Decomposotion , IAENG Transaction on Engineering Sciences, edited by S. Ao, H.S. Chan, H. Katagiri and L. Xu, World Scientific, Singapore, 57 - 66
Man, Y. K., 2018, On Computing the Inverse of Vandermonde Matrix, Advances in Theoretical and Applied Mathematics, 13(1) : 15 - 21
Astuti, L. W., Sudarwanto, Ambarwati, L., 2018, Perbandingan Metode Lagrange dan Metode Newton pada Interpolasi Polinomial dalam Mengestimasi Harga Saham, Jurnal Matematika Terapan 2(1) : 25 - 35
Ahmand, M., 2016, Upaya Meningkatkan Prestasi Belajar Siswa dalam Menyelesaikan Pembagian Suku Banyak dengan Metode Pembagian Sintetik di Kelas XI IPA Semester IV Taman Madya (SMA) Tamansiswa Medan T.P 2009/2010, Jurnal Education and Development STKIP Tapanuli Selatan,1(4) : 32 - 40
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