Author(s)

Faiz Atlan^*, Moawwad El-Mikkawy

Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt.

In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing the determinant of an opposite-bordered tridiagonal matrix is investigated. Some illustrative examples are given.

Opposite-Bordered Tridiagonal Matrix, Algorithm, Linear System of Equations, Schur Complement, MATLAB

Atlan, F. and El-Mikkawy, M. (2015) A New Symbolic Algorithm for Solving General Opposite-Bordered Tridiagonal Linear Systems. American Journal of Computational Mathematics, 5, 258-266. doi: 10.4236/ajcm.2015.53023.