TITLE:
A New Symbolic Algorithm for Solving General Opposite-Bordered Tridiagonal Linear Systems
AUTHORS:
Faiz Atlan, Moawwad El-Mikkawy
KEYWORDS:
Opposite-Bordered Tridiagonal Matrix, Algorithm, Linear System of Equations, Schur Complement, MATLAB
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.5 No.3,
August
31,
2015
ABSTRACT: 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.