Malaysian Journal of Mathematical Sciences, September 2015, Vol. 9, No. 3


A Fast and Reliable Algorithm for Evaluating $n$-th Order $k$-Tridiagonal Determinants

Moawwad El-Mikkawy and Faiz Atlan

Corresponding Email: m_elmikkawy@yahoo.com

Received date: -
Accepted date: -

Abstract:
The main objective of the current article is to present a fast and reliable algorithm for evaluating $n$-th order $k$-tridiagonal determinants with Toeplitz structure. Additionally, a modified algorithm for evaluating the general $n$-th order $k$-tridiagonal determinants is proposed. Numerical tests and illustrative examples are also given.

Keywords: $k$-Tridiagonal matrix, LU factorization, Determinant, Toeplitz matrix, MATLAB

  



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