MENYELESAIKAN PERSAMAAN POLINOMIAL DENGAN MATRIKS CIRCULANT

Authors

  • Yuniarti Yuniarti

DOI:

https://doi.org/10.25077/jmu.1.1.17-23.2012

Abstract

Dalam tulisan ini ditunjukkan bagaimana persamaan polino-
mial kuadratik dan kubik diselesaikan dengan terlebih dahulu mengkon-
struksi matriks circulant umum untuk polinomial tersebut. Kemudian
sistem persamaan yang diperoleh dengan mengidentikkan polinomial karak-
teristik dari matriks circulant dengan persamaan polinomial, digunakan
untuk menentukan nilai entri-entri pada matriks circulant umum. Se-
lanjutnya, akar-akar persamaan polinomial yang merupakan nilai-nilai
eigen dari matriks circulant, ditentukan dengan mensubstitusikan akar-
akar satuan pada polinomial yang terbentuk dari baris pertama matriks
circulant yang telah dihasilkan sebelumnya

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Published

12-10-2012

Issue

Vol. 1 No. 1 (2012)

Section

Articles

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