TRACE MATRIKS TOEPLITZ 2-TRIDIAGONAL 3×3 BERPANGKAT BILANGAN BULAT POSITIF
Abstract
Artikel ini mengidentifikasi bentuk umum trace matriks Toeplitz -tridiagonal berpangkat bilangan bulat positif. Langkah penelitian dimulai dengan menentukan bentuk umum matriks Toeplitz -tridiagonal berpangkat bilangan bulat positif, dilanjutkan dengan menentukan bentuk umum trace matriks Toeplitz -tridiagonal berpangkat bilangan bulat positif. Pembuktian dilakukan dengan menggunakan induksi matematika. Hasil akhir dari artikel ini diperoleh bentuk umum matriks dan untuk bilangan bulat positif ganjil dan bilangan bulat positif genap.
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References
R. Larson Elementary Linear Algebra (seventh edition), Boston: Brooks/Cole, 2013.
R.M. Gray, “Toeplitz and Circulan Matrices', Foundations and Trends in Communications and Information
Theory, vol. 2, no. 3, pp. 155–239, January 2006.
E. Carrasquinha, C. Amado, A. M. Pires, and L. Oliveira, “Image reconstruction based on circulant matrices†Signal Process. Image Commun., vol. 63, pp. 72–80, 2018.
A. Carmona, A. M. Encinas, M. J. Jiménez, and M. Mitjana, “The group inverse of some circulant matrices,†Linear Algebra Appl., 2020.
C. Li and T. Zheng, “The continuity equation of almost Hermitian metrics,†J. Differ. Equ., vol. 274, pp. 1015–1036, 2021.
E. K. Gnang and J. M. Murphy, “Spectral analysis of non-Hermitian matrices and directed graphs,†Linear Algebra Appl., vol. 604, pp. 72–91, 2020.
M. Anđelić and C. M. da Fonseca, “Some comments on tridiagonal (p,r)-Toeplitz matrices,†Linear Algebra Appl., vol. 572, pp. 46–50, 2019.
J. Abderramán Marrero and D. A. Aiat Hadj, “Improving formulas for the eigenvalues of finite block-Toeplitz tridiagonal matrices,†Appl. Math. Comput., vol. 382, pp. 1–11, 2020.
C. M. da Fonseca, “Comments on the spectrum of a tridiagonal k-Toeplitz matrix,†J. Comput. Appl. Math., vol. 375, p. 112793, 2020.
L. Losonczi, “Eigenpairs of some imperfect pentadiagonal Toeplitz matrices,†Linear Algebra Appl., vol. 608, pp. 282–298, 2021.
J. Alberto and J. Brox, “Inverses of k-Toeplitz matrices with applications to resonator arrays with multiple receivers,†Appl. Math. Comput., vol. 377, 2020.
T. H. E. Asymptotic and B. Of, “On the Asymptotic Eigenvalue Distribution of Toepliti Matrices MOLTEN,†IEEE Transactions on Information Theory, vol. I, pp. 9–14, 1972.
J. Pahade and M. Jha, “Trace of Positive Integer Power of Real 2×2 Matrices,†Advances in Linear Algebra and Matrix Theory, vol. 05, no. 4, pp. 150–155, 2015.
F. Aryani, et al. “Trace Matriks Toeplitz Kompleks Khusus Ukuran Berpangkat Bilangan Bulat Positif,†Seminar Nasional Teknologi Informasi, Komunikasi dan Industri, pp. 673–681, Nov 13, 2018.
F. Aryani, N. Husna, “Trace Matriks Toepitz Tridiagonal Bilangan Bulat Positif Berpangkat,†Jurnal Sains Matematika dan Statistika, vol. 5, no. 1, 2019.
Rahmawati, Wartono, and M. Jelita, “Trace of Integer Power of Real 3×3 Specific Matrices,†Int. J. Adv. Sci. Res. Eng., vol. 5, no. 3, pp. 48–56, 2019.
Rahmawati et al., “Trace Matriks Toeplitz Simetris Bentuk Khusus Ordo 3×3 Berpangkat Bilangan Bulat Positif,†Jurnal Sains Matematika dan Statistika, vol. 5, no. 2, pp. 61–70, 2019.
R. Andesta, Trace Matriks Berbentuk Khusus 3x3 Berpangkat Bilangan Bulat Positif, Skripsi]. Riau, Pekan Baru: Universitas Islam Negeri Sultan Syarif Riau, 2018. [Online]. Available: Repository UIN SUSKA RIAU
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